Publications and Preprints
by R.F. Werner

Updated November 2024

Topics

Quantum Information

Bell inequalities and qualitative entanglement theory
Entanglement measures
Error correction and capacities
Other Quantum information tasks
Steering and cryptography
von Neumann algebraic quantum information
Experiment

Statistical Mechanics and Lattice Systems

Quantum cellular automata
Quantum Walks
Finitely correlated states (=matrix product states)
1D ground states
Mean field theory
Other statistical mechanics

Quantum Mechanics

Phase space and classical limit
Uncertainty
Arrival time observables
Dynamics
Relativistic quantum mechanics and field theory
Non-standard commutation relations
Other basic quantum structures
Foundations and Bohmianism

More

Introductory
Metascience

⇑Quantum Information
Bell inequalities and qualitative entanglement theory

T. P. Le, C. Meroni, B. Sturmfels, R. F. Werner, and T. Ziegler: Quantum correlations in the minimal scenario.
Quantum 7(2023) 947. [arXiv:2111.06270] [DOI]
J. Kiukas and R. F. Werner: Maximal violation of Bell inequalities by position measurements.
J. Math. Phys. 51(2010) 072105. [arXiv:0912.3740] [DOI] [MR2681070]
R. F. Werner: Entanglement.
pp. 228-233 in: Encyclopedia of Mathematical Physics, edited by J.-P. Francoise, G. L. Naber, and T. S. Tsun.
Elsevier, 2006. [DOI]
M. Keyl, D. Schlingemann, and R. F. Werner: Infinitely entangled states.
Quant. Inform. Comput. 3(2003) 281-306. [arXiv:quant-ph/0212014] [DOI] [MR2003567]
R. F. Werner and M. M. Wolf: Bell inequalities and entanglement.
Quant. Inform. Comput. 1(2001) 1-25. [arXiv:quant-ph/0107093] [DOI] [MR1907485]
T. Eggeling and R. F. Werner: Separability properties of tripartite states with U ⊗U ⊗U symmetry.
Phys. Rev. A 63(2001) 042111. [arXiv:quant-ph/0010096] [DOI] [MR1842421]
R. F. Werner and M. M. Wolf: All multipartite Bell correlation inequalities for two dichotomic observables per site.
Phys. Rev. A 64(2001) 032112. [arXiv:quant-ph/0102024] [DOI]
R. F. Werner and M. M. Wolf: Bound entangled gaussian states.
Phys. Rev. Lett. 86(2001) 3658-3661. [arXiv:quant-ph/0009118] [DOI]
R. F. Werner: Basic open problems in the theory of entanglement.
pp. 395-400 in: Quantum theory and symmetries (Goslar, 1999), edited by H.-D. Doebner.
World Sci. Publishing, River Edge, N. J. 2000. [MR1796078]
R. F. Werner and M. M. Wolf: Bell's inequalities for states with positive partial transpose.
Phys. Rev. A 61(2000) 062102, 4. [arXiv:quant-ph/9910063] [DOI] [MR1767459]
R. F. Werner: Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model.
Phys. Rev. A 40(1989) 4277-4281. [DOI]
R. F. Werner: An application of Bell's inequalities to a quantum state extension problem.
Lett. Math. Phys. 17(1989) 359-363. [DOI] [MR1001093]
R. F. Werner: Bell's inequalities and the reduction of statistical theories.
pp. 419-442 in: Reduction in science, edited by W. Balzer, D. Pearce, and H.-J. Schmidt.
Reidel, Dordrecht 1984. [DOI]

⇑Entanglement measures

O. Gühne, M. Reimpell, and R. F. Werner: Estimating entanglement measures in experiments.
Phys. Rev. Lett. 98(2007) 110502. [arXiv:quant-ph/0607163] [DOI]
R. F. Werner: Entanglement measures.
pp. 233-236 in: Encyclopedia of Mathematical Physics, edited by J.-P. Francoise, G. L. Naber, and T. S. Tsun.
Elsevier, 2006. [DOI]
K. G. H. Vollbrecht, R. F. Werner, and M. M. Wolf: Irreversibility of entanglement distillation for a class of symmetric states.
Phys. Rev. A 69(2004) 062304. [arXiv:quant-ph/0301072] [DOI]
M. M. Wolf, G. Giedke, O. Krüger, R. F. Werner, and J. I. Cirac: Gaussian entanglement of formation.
Phys. Rev. A 69(2004) 052320. [arXiv:quant-ph/0306177] [DOI]
G. Giedke, M. M. Wolf, O. Krüger, R. F. Werner, and J. I. Cirac: Entanglement of formation for symmetric Gaussian states.
Phys. Rev. Lett. 91(2003) 107901. [arXiv:quant-ph/0304042] [DOI]
K. Audenaert, J. Eisert, M. B. Plenio, and R. F. Werner: Entanglement properties of the harmonic chain.
Phys. Rev. A 66(2002) 042327. [arXiv:quant-ph/0204143] [DOI]
K. Audenaert, B. De Moor, K. G. H. Vollbrecht, and R. F. Werner: Asymptotic relative entropy of entanglement for orthogonally invariant states.
Phys. Rev. A 66(2002) 032310. [arXiv:quant-ph/0204143] [DOI]
G. Vidal and R. F. Werner: Computable measure of entanglement.
Phys. Rev. A 65(2002) 032314. [arXiv:quant-ph/0102117] [DOI]
T. Eggeling, K. G. H. Vollbrecht, R. F. Werner, and M. M. Wolf: Distillability via protocols respecting the positivity of partial transpose.
Phys. Rev. Lett. 87(2001) 257902. [arXiv:quant-ph/0104095] [DOI]
R. F. Werner and K. G. H. Vollbrecht: A counterexample to a conjectured entanglement inequality.
[arXiv:quant-ph/0006046]
K. G. H. Vollbrecht and R. F. Werner: Entanglement measures under symmetry.
Phys. Rev. A 64(2001) 062307. [arXiv:quant-ph/0010095] [DOI]

⇑Error correction and capacities

D. Kretschmann, D. Schlingemann, and R. F. Werner: A continuity theorem for Stinespring's dilation.
J. Funct. Anal. 255(2008) 1889-1904. [arXiv:0710.2495] [DOI] [MR2462580]
D. Kretschmann, D. Schlingemann, and R. F. Werner: The information-disturbance tradeoff and the continuity of Stinespring's representation.
IEEE Trans. Inform. Theory 54(2008) 1708-1717. [arXiv:quant-ph/0605009] [DOI] [MR2450296]
M. Reimpell, R. F. Werner, and K. Audenaert: Comment on ``Optimum Quantum Error Recovery using Semidefinite Programming''.
[arXiv:quant-ph/0606059]
M. Reimpell and R. F. Werner: Iterative optimization of quantum error correcting codes.
Phys. Rev. Lett. 94(2005) 080501. [arXiv:quant-ph/0307138] [DOI]
D. Kretschmann and R. F. Werner: Tema con variazioni: quantum channel capacity.
New J. Phys. 6(2004) 26. [arXiv:quant-ph/0311037] [full text] [DOI]
M. Gregoratti and R. F. Werner: Quantum lost and found.
J. Mod. Opt. 50(2003) 915-933. International Conference on Quantum Information, Conceptual Foundations, Developments and Perspectives (Oviedo, 2002). [arXiv:quant-ph/0209025] [DOI] [MR1994982]
M. Keyl and R. F. Werner: How to correct small quantum errors.
pp. 263-286 in: Coherent evolution in noisy environments (Dresden, 2001), edited by A. Buchleitner and K. Hornberger.
Springer, Berlin 2002. [arXiv:quant-ph/0206086] [MR2012181]
R. F. Werner and A. S. Holevo: Counterexample to an additivity conjecture for output purity of quantum channels.
J. Math. Phys. 43(2002) 4353-4357. [arXiv:quant-ph/0203003] [DOI] [MR1924444]
D. Schlingemann and R. F. Werner: Quantum error-correcting codes associated with graphs.
Phys. Rev. A 65(2002) 012308. [arXiv:quant-ph/0012111] [DOI]
G. G. Amosov, A. S. Holevo, and R. F. Werner: Additivity and multiplicativity problems for quantum communication channels.
pp. 3-10 in: Quantum communication, computing, and measurement 3, edited by P. Tombesi and O. Hirota.
Kluwer, 2001. [DOI]
A. S. Holevo and R. F. Werner: Evaluating capacities of bosonic gaussian channels.
Phys. Rev. A 63(2001) 032312. [arXiv:quant-ph/9912067] [DOI]
G. G. Amosov, A. S. Holevo, and R. F. Werner: On the additivity hypothesis in quantum information theory.
Problemy Peredachi Informatsii 36(2000) 25-34. [MR1813649]

⇑Other Quantum information tasks

L. van Luijk, R. F. Werner, and H. Wilming: Covariant catalysis requires correlations and good quantum reference frames degrade little.
Quantum 7(2023) 1166. [arXiv:2301.09877] [DOI]
G. Chiribella, G. M. D'Ariano, P. Perinotti, D. M. Schlingemann, and R. F. Werner: A short impossibility proof of quantum bit commitment.
Phys. Lett. A 377(2013) 1076-1087. [arXiv:0905.3801] [MR3038250]
G. M. D'Ariano, D. Kretschmann, D. Schlingemann, and R. F. Werner: Reexamination of quantum bit commitment: The possible and the impossible.
Phys. Rev. A 76(2007) . [arXiv:quant-ph/0605224] [DOI]
M. Reimpell and R. F. Werner: A meaner king uses biased bases.
Phys. Rev. A 75(2007) 062334. [arXiv:quant-ph/0612035] [DOI] [MR2328765]
N. J. Cerf, O. Krüger, P. Navez, R. F. Werner, and M. M. Wolf: Non-gaussian cloning of quantum coherent states is optimal.
Phys. Rev. Lett. 95(2005) 070501. [arXiv:quant-ph/0410058] [DOI]
M. Gregoratti and R. F. Werner: On quantum error-correction by classical feedback in discrete time.
J. Math. Phys. 45(2004) 2600-2612. [arXiv:quant-ph/0403092] [DOI] [MR2067576]
G. M. D'Ariano, R. D. Gill, M. Keyl, R. F. Werner, B. Kümmerer, and H. Maassen: The quantum Monty Hall problem.
Quant. Inform. Comput. 2(2002) 355-366. [arXiv:quant-ph/0202120] [MR1929308]
T. Eggeling and R. F. Werner: Hiding classical data in multipartite quantum states.
Phys. Rev. Lett. 89(2002) 097905. [arXiv:quant-ph/0203004] [DOI]
M. Keyl and R. F. Werner: Estimating the spectrum of a density operator.
Phys. Rev. A 64(2001) 052311. [arXiv:quant-ph/0102027] [DOI] [MR1878924]
R. F. Werner: All teleportation and dense coding schemes.
J. Phys. A 34(2001) 7081-7094. [arXiv:quant-ph/0003070] [MR1863141]
M. Keyl and R. F. Werner: The rate of optimal purification procedures.
Ann. Inst. H. Poincaré Phys. Théor. 2(2001) 1-26. [arXiv:quant-ph/9910124] [DOI] [MR1823831]
V. Buzek, M. Hillery, and R. F. Werner: Universal-NOT gate.
J. Mod. Opt. 47(2000) 211-232. Physics of quantum information. [arXiv:quant-ph/9901053] [MR1756849]
V. Buzek, M. Hillery, and R. F. Werner: Optimal manipulations with qubits: universal-NOT gate.
Phys. Rev. A 60(1999) R2626-R2629. [arXiv:quant-ph/9901053] [DOI] [MR1718519]
M. Keyl and R. F. Werner: Optimal cloning of pure states, testing single clones.
J. Math. Phys. 40(1999) 3283-3299. [arXiv:quant-ph/9807010] [DOI] [MR1696949]
R. F. Werner: Optimal cloning of pure states.
Phys. Rev. A 58(1998) 1827-1832. [arXiv:quant-ph/9804001] [DOI]

⇑Steering and cryptography

R. F. Werner: Steering, or maybe why Einstein did not go all the way to Bell's argument.
J. Phys. A 47(2014) 424008. [DOI]
F. Furrer, T. Franz, M. Berta, A. Leverrier, V. B. Scholz, M. Tomamichel, and R. F. Werner: Continuous variable quantum key distribution: Finite-key analysis of composable security against coherent attacks.
Phys. Rev. Lett. 109(2012) 100502. [arXiv:1112.2179] [DOI]
F. Furrer, T. Franz, M. Berta, A. Leverrier, V. B. Scholz, M. Tomamichel, and R. F. Werner: Erratum:continuous variable quantum key distribution: Finite-key analysis of composable security against coherent attacks.
Phys. Rev. Lett. 112(2014) 019902. [DOI]
T. Eberle, V. Händchen, J. Duhme, T. Franz, R. F. Werner, and R. Schnabel: Gaussian entanglement for quantum key distribution from a single-mode squeezing source.
New J. Phys. 15(2013) 053049. [arXiv:1110.3977] [DOI]
T. Eberle, V. Händchen, J. Duhme, T. Franz, R. F. Werner, and R. Schnabel: Strong Einstein-Podolsky-Rosen entanglement from a single squeezed light source.
Phys. Rev. A 83(2011) 052329. [arXiv:1103.1817] [DOI]
T. Franz, F. Furrer, and R. F. Werner: Extremal quantum correlations and cryptographic security.
Phys. Rev. Lett. 106(2011) 250502. [arXiv:1010.1131]
A. H. Werner, T. Franz, and R. F. Werner: Quantum cryptography as a retrodiction problem.
Phys. Rev. Lett. 103(2009) 220504. [arXiv:0909.3375] [DOI]

⇑von Neumann algebraic quantum information

L. van Luijk, A. Stottmeister, R. F. Werner, and H. Wilming: Pure state entanglement and von Neumann algebras.
[arXiv:2409.17739]
L. van Luijk, A. Stottmeister, R. F. Werner, and H. Wilming: Embezzlement of entanglement, quantum fields, and the classification of von Neumann algebras.
[arXiv:2401.07299]
L. van Luijk, A. Stottmeister, R. F. Werner, and H. Wilming: Embezzling entanglement from quantum fields.
[arXiv:2401.07292]
L. van Luijk, R. Schwonnek, A. Stottmeister, and R. F. Werner: The Schmidt rank for the commuting operator framework.
Commun. Math. Phys. 405(2024) 152. [arXiv:2307.11619] [DOI]
M. Junge, M. Navascues, C. Palazuelos, D. Perez-Garcia, V. B. Scholz, and R. F. Werner: Connes' embedding problem and Tsirelson's problem.
J. Math. Phys. 52(2011) 012102. [arXiv:1008.1142] [DOI] [MR2790067]
V. B. Scholz and R. F. Werner: Tsirelson's problem.
[arXiv:0812.4305]
R. F. Werner: EPR states for von Neumann algebras.
Comment on quant-ph/9910066, not intended for journal publication. [arXiv:quant-ph/9910077]

⇑Experiment

M. Duwe, G. Zarantonello, N. Pulido-Mateo, H. Mendpara, L. Krinner, A. Bautista-Salvador, N. V. Vitanov, K. Hammerer, R. F. Werner, and C. Ospelkaus: Numerical optimization of amplitude-modulated pulses in microwave-driven entanglement generation.
Quant. Sci. Tech. 7(22) 045005. [arXiv:2112.07714] [DOI]
G. Zarantonello, H. Hahn, M. Schulte, A. Bautista-Salvador, R. F. Werner, K. Hammerer, C. Ospelkaus, and J. Morgner: Robust and resource-efficient microwave near-field entangling $^9Be^+$ gate.
Phys. Rev. Lett. 123(2019) 260503. [arXiv:1911.03954] [DOI]
M. Sajid, J. K. Asbóth, D. Meschede, R. F. Werner, and A. Alberti: Creating anomalous Floquet Chern insulators with magnetic quantum walks.
Phys. Rev. B 99(2019) 214303. [arXiv:1808.08923] [DOI]
T. Nitsche, T. Geib, C. Stahl, L. Lorz, C. Cedzich, S. Barkhofen, R. F. Werner, and C. Silberhorn: Eigenvalue measurement of topologically protected edge states in split-step quantum walks.
New J . Phys, 21(2019) 043031. [arXiv:1811.09520] [DOI]
M. Genske, W. Alt, A. Steffen, A. H. Werner, R. F. Werner, D. Meschede, and A. Alberti: Electric quantum walks with individual atoms.
Phys.Rev.Lett. 110(2013) 190601. [arXiv:1302.2094] [DOI]
A. Auer, R. Schwonnek, C. Schoder, L. Dammeier, R. F. Werner, and G. Burkard: Entanglement distillation using the exchange interaction.
Appl. Phys. B 122(2016) 1-8. [arXiv:1508.00364] [DOI]
A. Alberti, W. Alt, R. F. Werner, and D. Meschede: Decoherence models for discrete-time quantum walks and their application to neutral atom experiments.
New J. Phys. 16(2014) 123052. [arXiv:1409.6145] [DOI]
T. Gehring, V. Händchen, J. Duhme, F. Furrer, T. Franz, C. Pacher, R. F. Werner, and R. Schnabel: Implementation of continuous-variable quantum key distribution with composable and one-sided-device-independent security against coherent attacks.
Nature Comm. 6(2015) 8795. [arXiv:1406.6174] [DOI]
V. Händchen, T. Eberle, S. Steinlechner, A. Samblowski, T. Franz, R. F. Werner, and R. Schnabel: Observation of one-way Einstein-Podolsky-Rosen steering.
Nature Photonics 6(2012) 598-601. [arXiv:1206.4446] [DOI]

⇑Statistical Mechanics and Lattice Systems
Quantum cellular automata

J. Gütschow, V. Nesme, and R. F. Werner: The fractal structure of cellular automata on abelian groups.
pp. 51-70 in: Proceedings of automata 2010, edited by N. Fatès, J. Kari, and T. Worsch.
INRIA, 2010. [arXiv:1011.0313] [link]
A. Ahlbrecht, L. S. Georgiev, and R. F. Werner: Monodromy analysis of the computational power of the Ising topological quantum computer.
pp. 279-288 in: Lie theory and its applications in physics, edited by V. Dobrev.
, 2010. [arXiv:0911.2591] [DOI]
P. Arrighi, V. Nesme, and R. F. Werner: Quantized neighbourhoods.
[arXiv:0910.4461]
D. Gross, V. Nesme, H. Vogts, and R. F. Werner: Index theory of one dimensional quantum walks and cellular automata.
Comm. Math. Phys. 310(2012) 419-454. [arXiv:0910.3675] [DOI] [MR2890305]
J. Gütschow, S. Uphoff, R. F. Werner, and Z. Zimborás: Time asymptotics and entanglement generation of Clifford quantum celluar automata.
J. Math. Phys. 51(2010) 015203. Selected as JMP research highlight in Feb. 2010. Selected for the Virtual Journal of Quantum Information Volume 10, Issue 2 (Feb 2010). [arXiv:0906.3195] [DOI] [MR2605836]
A. Ahlbrecht, L. S. Georgiev, and R. F. Werner: Implementation of Clifford gates in the Ising-anyon topological quantum computer.
Phys. Rev. A 79(2009) 032311. [arXiv:0812.2338] [full text] [DOI]
D.-M. Schlingemann, H. Vogts, and R. F. Werner: On the structure of Clifford quantum cellular automata.
J. Math. Phys. 49(2008) 112104, 21. [arXiv:0804.4447] [DOI] [MR2468526]
O. Krüger and R. F. Werner: Gaussian quantum cellular automata.
pp. 85-99 in: Quantum information with continous variables of atoms and light, edited by N. J. Cerf, G. Leuchs, and E. S. Polzik.
Imperial College Press, 2007. [DOI]
D. J. Shepherd, T. Franz, and R. F. Werner: A universally programmable quantum cellular automaton.
Phys. Rev. Lett. 97(2006) 020502. [arXiv:quant-ph/0512058] [DOI]
D. Kretschmann and R. F. Werner: Quantum channels with memory.
Phys. Rev. A 72(2005) 062323. [arXiv:quant-ph/0502106] [DOI]
B. Schumacher and R. F. Werner: Reversible quantum cellular automata.
[arXiv:quant-ph/0405174]
S. Richter and R. F. Werner: Ergodicity of quantum cellular automata.
J. Statist. Phys. 82(1996) 963-998. [arXiv:cond-mat/9504001] [DOI] [MR1372433]

⇑Quantum Walks

C. Cedzich, A. Joye, A. H. Werner, and R. F. Werner: Exponential tail estimates for quantum lattice dynamics.
[arXiv:2408.02108]
G. Coutinho, P. F. Baptista, C. Godsil, T. J. Spier, and R. F. Werner: Irrational quantum walks.
SIAM J. Appl. Alg. Geom. 7(2023) 567-584. [arXiv:2208.08971] [DOI]
C. Cedzich, T. Geib, and R. F. Werner: An algorithm to factorize quantum walks into shift and coin operations.
Lett. Math. Phys. 112(2022) 85. [arXiv:2102.12951] [DOI]
C. Cedzich, T. Geib, F. A. Grünbaum, L. Velázques, A. H. Werner, and R. F. Werner: Quantum walks: Schur functions meet symmetry protected topological phases.
Commun. Math. Phys. 389(2021) 31-74. [arXiv:1903.07494] [DOI] [MR4365137]
C. Cedzich, T. Geib, A. H. Werner, and R. F. Werner: Chiral Floquet systems and quantum walks at half-period.
Ann. H. Poinc. 22(2021) 375-413. [arXiv:2006.04634] [DOI]
C. Cedzich, T. Geib, A. H. Werner, and R. F. Werner: Quantum walks in external gauge fields.
J. Math. Phys. 60(2019) 012107. [arXiv:1808.10850] [DOI]
C. Cedzich, T. Geib, C. Stahl, L. Velázquez, A. H. Werner, and R. F. Werner: Complete homotopy invariants for translation invariant symmetric quantum walks on a chain.
Quantum 2(2018) 95. [arXiv:1804.04520] [DOI]
P. Arrighi, V. Nesme, and R. F. Werner: Bounds on the speedup in quantum signaling.
Phys. Rev. A 95(2017) 012331. [arXiv:0910.4461] [DOI]
C. Cedzich, T. Geib, F. A. Grünbaum, C. Stahl, L. Velázquez, A. H. Werner, and R. F. Werner: The topological classification of one-dimensional symmetric quantum walks.
Ann. Inst. H. Poinc. 19(2017) 325-383. [arXiv:1611.04439] [DOI] [MR3748295]
C. Cedzich and R. F. Werner: Revivals in quantum walks with quasi-periodically time-dependent coin.
Phys. Rev. A 93(2016) 032329. [arXiv:1510.08905] [DOI]
C. Cedzich, F. A. Grünbaum, C. Stahl, L. Velázquez, A. H. Werner, and R. F. Werner: Bulk-edge correspondence of one-dimensional quantum walks.
J. Phys. A 49(2016) 21LT01. [arXiv:1502.02592] [DOI]
C. Cedzich, F. A. Grünbaum, L. Velázquez, A. H. Werner, and R. F. Werner: A quantum dynamical approach to matrix Khrushchev's formulas.
To be published in Comm. Pure Appl. Math. [arXiv:1405.0985] [DOI] [MR3481284]
C. Cedzich, T. Rybár, A. H. Werner, A. Alberti, M. Genske, and R. F. Werner: Propagation and spectral properties of quantum walks in electric fields.
Phys. Rev. Lett. 111(2013) 160601. [arXiv:1302.2081] [DOI]
R. Matjeschk, A. Ahlbrecht, M. Enderlein, C. Cedzich, A. H. Werner, M. Keyl, T. Schaetz, and R. F. Werner: Quantum walks with non-orthogonal position states.
Phys. Rev. Lett. 109(2012) 240503. [arXiv:1206.0220] [DOI]
A. Ahlbrecht, C. Cedzich, R. Matjeschk, V. B. Scholz, A. H. Werner, and R. F. Werner: Asymptotic behavior of quantum walks with spatio-temporal coin fluctuations.
Quantum Inf. Process. 11(2012) 1219-1249. [arXiv:1201.4839] [DOI] [MR2979893]
A. Ahlbrecht, A. Alberti, D. Meschede, V. B. Scholz, A. H. Werner, and R. F. Werner: Molecular binding in interacting quantum walks.
New J. Phys. 14(2012) 073050. [arXiv:1105.1051] [DOI]
A. Ahlbrecht, H. Vogts, A. H. Werner, and R. F. Werner: Asymptotic evolution of quantum walks with random coin.
J. Math. Phys. 52(2011) 042201. [arXiv:1009.2019] [DOI] [MR2964162]

⇑Finitely correlated states (=matrix product states)

R. F. Werner: Finitely correlated states.
pp. 334-340 in: Encyclopedia of Mathematical Physics, edited by J.-P. Francoise, G. L. Naber, and T. S. Tsun.
Elsevier, 2006. [DOI]
O. Bratteli, P. E. T. Jørgensen, A. Kishimoto, and R. F. Werner: Pure states on O_d.
J. Operator Theory 43(2000) 97-143. [arXiv:funct-an/9711004] [MR1740897]
M. Fannes, B. Nachtergaele, and R. F. Werner: Quantum spin chains with quantum group symmetry.
Comm. Math. Phys. 174(1996) 477-507. [arXiv:cond-mat/9504002] [full text] [DOI] [MR1370078]
M. Fannes, B. Nachtergaele, and R. F. Werner: Finitely correlated pure states.
J. Funct. Anal. 120(1994) 511-534. [MR1266319] [mp-arc/92-132]
R. F. Werner: Finitely correlated pure states.
pp. 193-202 in: On three levels: micro-, meso-, and macro-approaches in physics, edited by M. Fannes, C. Maes, and A. Verbeure.
Plenum Press, 1994. [DOI]
M. Fannes, B. Nachtergaele, and R. F. Werner: Entropy estimates for finitely correlated states.
Ann. Inst. H. Poincaré Phys. Théor. 57(1992) 259-277. [MR1185335]
M. Fannes, B. Nachtergaele, and R. F. Werner: Abundance of translation invariant pure states on quantum spin chains.
Lett. Math. Phys. 25(1992) 249-258. [DOI] [MR1183875] [mp-arc/92-73]
M. Fannes, B. Nachtergaele, and R. F. Werner: Finitely correlated states on quantum spin chains.
Comm. Math. Phys. 144(1992) 443-490. [full text] [MR1158756]
M. Fannes, B. Nachtergaele, and R. F. Werner: Ground states of VBS models on Cayley trees.
J. Statist. Phys. 66(1992) 939-973. [DOI] [MR1151986]
M. Fannes, B. Nachtergaele, and R. F. Werner: Valence bond states on quantum spin chains as ground states with spectral gap.
J. Phys. A 24(1991) L185-L190. [DOI] [MR1104168]
M. Fannes, B. Nachtergaele, and R. F. Werner: Construction and study of exact ground states for a class of quantum antiferromagnets.
Rev. Brasil. Fis. 19(1989) 460-474.
M. Fannes, B. Nachtergaele, and R. F. Werner: Exact antiferromagnetic ground-states of quantum spin chains.
Europhys. Lett. 10(1989) 633-637. [DOI]

⇑1D ground states

M. Keyl, T. Matsui, D. Schlingemann, and R. F. Werner: On Haag duality for pure states of quantum spin chains.
Rev. Math. Phys. 20(2008) 707-724. [arXiv:math-ph/0703013] [DOI] [MR2433991]
M. Keyl, T. Matsui, D. Schlingemann, and R. F. Werner: Entanglement, Haag-duality, and type properties of infinite quantum spin chains.
Rev. Math. Phys. 18(2006) 935-970. [arXiv:math-ph/0604071] [DOI] [MR2281418]
C.-T. Gottstein and R. F. Werner: Ground states of the infinite q-deformed Heisenberg ferromagnet.
[arXiv:cond-mat/9501123]
R. F. Werner: Remarks on a quantum state extension problem.
Lett. Math. Phys. 19(1990) 319-326. [DOI] [MR1051814]

⇑Mean field theory

F. Trimborn, R. F. Werner, and D. Witthaut: Quantum de finetti theorems and mean-field theory from quantum phase space representations.
J. Phys. A 49(2016) 135302. [DOI]
D. Witthaut, F. Trimborn, V. Kegel, and H. J. Korsch: Quantum dynamics of Bose-Einstein condensates in tilted and driven bichromatic optical lattices.
Phys. Rev. A 83(2011) 013609. [arXiv:1012.2896] [DOI]
N. G. Duffield and R. F. Werner: Local dynamics of mean-field quantum systems.
Helv. Phys. Acta 65(1992) 1016-1054. [MR1200101] [mp-arc/91-75]
N. G. Duffield and R. F. Werner: Mean-field dynamical semigroups on C*-algebras.
Rev. Math. Phys. 4(1992) 383-424. [DOI] [MR1189117]
R. F. Werner: Large deviations and mean-field quantum systems.
pp. 349-381 in: Quantum probability \& related topics, edited by L. Accardi.
World Sci. Publishing, River Edge, NJ 1992. [DOI] [MR1186674]
N. G. Duffield and R. F. Werner: Classical Hamiltonian dynamics for quantum Hamiltonian mean-field limits.
pp. 115-129 in: Stochastics and quantum mechanics (Swansea, 1990), edited by A. Truman and I. M. Davies.
World Sci. Publishing, River Edge, NJ 1992. [DOI] [MR1182592]
N. G. Duffield, H. Roos, and R. F. Werner: Macroscopic limiting dynamics of a class of inhomogeneous mean field quantum systems.
Ann. Inst. H. Poincaré Phys. Théor. 56(1992) 143-186. [MR1155276] [link]
G. A. Raggio and R. F. Werner: The Gibbs variational principle for inhomogeneous mean-field systems.
Helv. Phys. Acta 64(1991) 633-667. [MR1127778] [link]
G. A. Raggio and R. F. Werner: Minimizing the relative entropy in a face.
Lett. Math. Phys. 19(1990) 7-14. [DOI] [MR1040405]
G. A. Raggio and R. F. Werner: Quantum statistical mechanics of general mean field systems.
Helv. Phys. Acta 62(1989) 980-1003. [MR1034151]
G. A. Raggio and R. F. Werner: The Gibbs variational principle for for general BCS-type models.
Europhys. Lett. 9(1989) 633-638. [DOI]

⇑Other statistical mechanics

M. Fannes and R. F. Werner: Boundary conditions for quantum lattice systems.
Helv. Phys. Acta 68(1995) 635-657. [arXiv:cond-mat/9504090] [MR1395060]
E. Buffet and R. F. Werner: A counterexample in coagulation theory.
J. Math. Phys. 32(1991) 2276-2278. [DOI] [MR1123623]
K. Bärwinkel and R. F. Werner: Bounds to linear transfer and accomodation at the gas-solid interface.
pp. 677-686 in: Rarefied gas dynamics, edited by O. Belotserkovskii, M. Kogan, S. Kutateladze, and A. Rebrov.
Plenum, New York 1985.
K. Bärwinkel and R. F. Werner: The linear boundary condition of kinetic theory. Some results and some open questions.
Rend. Sem. Mat. Univ. Politec. Torino 41(1983) 113-130 (1984). [MR778863]
R. F. Werner: The concept of embeddings in statistical mechanics.
PhD Thesis, Marburg 1982. Excerpts in: G. Ludwig: An Axiomatic basis for quantum mechanics; vol. 2: quantum mechanics and macrosystems, Springer-Verlag, Berlin 1987, X.§3.1 - X.§3.3.
R. F. Werner: Approximate embeddings in statistical mechanics.
pp. 27-39 in: Structure and approximation in physical theories, edited by A. Hartkämper and H.-J. Schmidt.
Plenum, New York 1981. [DOI]

⇑Quantum Mechanics
Phase space and classical limit

R. Fulsche, F. Luef, and R. F. Werner: Wiener's Tauberian theorem in classical and quantum harmonic analysis.
[arXiv:2405.08678]
L. Dammeier and R. F. Werner: Quantum-classical hybrid systems and their quasifree transformations.
Quantum 7(2023) 1068. [arXiv:2208.05020] [DOI]
W. Bauer, L. van Luijk, A. Stottmeister, and R. F. Werner: Self-adjointness of Toeplitz operators on the Segal-Bargmann space.
J. Funct. Anal. 284(2023) 109778. [arXiv:2202.04687] [DOI] [MR4518039]
M. Keyl, J. Kiukas, and R. F. Werner: Schwartz operators.
Rev. Math. Phys. 28(2016) 1630001. [arXiv:1508.00364] [DOI] [MR3499017]
J. Kiukas, P. Lahti, J. Schultz, and R. F. Werner: Characterization of informational completeness for covariant phase space observables.
J. Math. Phys. 53(2012) 102103. [arXiv:1204.3188] [DOI] [MR3050559]
R. F. Werner and M. P. H. Wolff: Classical mechanics as quantum mechanics with infinitesimal hbar.
Phys. Lett. A 202(1995) 155-159. [DOI] [MR1335436] [mp-arc/94-388]
R. F. Werner: The classical limit of quantum theory.
[arXiv:quant-ph/9504016]
T. Bröcker and R. F. Werner: Mixed states with positive Wigner functions.
J. Math. Phys. 36(1995) 62-75. [DOI] [MR1308628]
R. F. Werner: On the concentration of quantum states in phase space.
pp. 389-399 in: Quantum probability and related topics, vol. IX, edited by L. Accardi.
World Scientific, Singapore 1994. [mp-arc/93-182]
R. F. Werner: Quantum harmonic analysis on phase space.
J. Math. Phys. 25(1984) 1404-1411. [DOI] [MR745753]
R. F. Werner: Physical uniformities on the state space of nonrelativistic quantum mechanics.
Found. Phys. 13(1983) 859-881. [DOI] [MR788064]

⇑Uncertainty

P. Busch, J. Kiukas, and R. F. Werner: Sharp uncertainty relations for number and angle.
J. Math. Phys 59(2018) 042102. [arXiv:1604.00566] [DOI]
R. F. Werner and T. Farrelly: Uncertainty from Heisenberg to today.
Found. Phys 49(2019) 460-491. [arXiv:1904.06139] [DOI]
R. F. Werner: Unschärfe von Heisenberg bis heute.
pp. 9-56 in: Quanten 5, Jahrbuch der Heisenberg-Gesellschaft, edited by K. Kleinknecht.
S. Hirzel Verlag, 2017. [link]
R. Schwonnek, L. Dammeier, and R. F. Werner: State-independent uncertainty relations and entanglement detection in noisy systems.
Phys. Rev. Lett. 119(2017) 170404. [arXiv:1705.1067] [DOI]
R. F. Werner: Uncertainty relations for general phase spaces.
Frontiers of Physics 11(2016) 1-10. [arXiv:1601.03843] [DOI]
R. Schwonnek, D. Reeb, and R. F. Werner: Measurement uncertainty for finite quantum observables.
Mathematics 4(2016) 38. [arXiv:1604.00382] [DOI]
L. Dammeier, R. Schwonnek, and R. Werner: Uncertainty relations for angular momentum.
New J. Phys. 17(2015) 093046. [arXiv:1505.00049] [DOI]
K. Abdelkhalek, R. Schwonnek, H. Maassen, F. Furrer, J. Duhme, P. Raynal, B.-G. Englert, and R. F. Werner: Optimality of entropic uncertainty relations.
Int. J. Quant. Inf. 13(2015) 1550045. [arXiv:1509.00398] [DOI]
P. Busch, P. Lahti, and R. F. Werner: Comment on "noise and disturbance in quantum measurements: An information-theoretic approach".
[arXiv:1403.0368]
P. Busch, P. Lahti, and R. F. Werner: Comment on "experimental test of error-disturbance uncertainty relations by weak measurement".
[arXiv:1403.0367]
P. Busch, P. Lahti, and R. F. Werner: Proof of Heisenberg's error-disturbance relation.
Phys. Rev. Lett. 111(2013) 160405. [arXiv:1306.1565] [DOI]
P. Busch, P. Lahti, and R. F. Werner: Measurement uncertainty relations.
J. Math. Phys 55(2014) 04211. [arXiv:1312.4392] [DOI]
P. Busch, P. Lahti, and R. F. Werner: Quantum root-mean-square error and measurement uncertainty relations.
Rev. Mod. Phys. 86(2014) 1261-1281. [arXiv:1312.4393] [DOI]
P. Busch, P. Lahti, and R. F. Werner: Heisenberg uncertainty for qubit measurements.
Phys. Rev. A 89(2013) 012129. [arXiv:1311.0837] [DOI]
P. Busch, P. Lahti, and R. F. Werner: Comment on 'Experimental test of error-disturbance uncertainty relations by weak measurement'.
[arXiv:1403.0367]
P. Busch, P. Lahti, and R. F. Werner: Measurement uncertainty: Reply to critics.
[arXiv:1402.3102]
R. F. Werner: The uncertainty relation for joint measurement of position and momentum.
Quant. Inform. Comput. 4(2004) 546-562. [arXiv:quant-ph/0405184] [MR2124572]

⇑Arrival time observables

A. Ruschhaupt and R. F. Werner: Quantum mechanics of time.
pp. 315-323 in: The message of quantum science -- attempts towards a synthesis, edited by P. Blanchard and J. Fröhlich.
Springer, 2015. [DOI]
J. Kiukas, A. Ruschhaupt, P. O. Schmidt, and R. F. Werner: Exact energy-time uncertainty relation for arrival time by absorption.
J. Phys. A 45(2012) 185301. [arXiv:1109.5087] [DOI] [MR2913460]
J. Kiukas, A. Ruschhaupt, and R. F. Werner: Full counting statistics of stationary particle beams.
J. Math. Phys. 54(2013) 042109. [arXiv:1009.1109] [DOI]
J. Kiukas, A. Ruschhaupt, and R. F. Werner: Tunneling times with covariant measurements.
Found. Phys. 39(2009) 829-846. [arXiv:0907.1792] [DOI] [MR2549082]
R. F. Werner: Dilations of symmetric operators shifted by a unitary group.
J. Funct. Anal. 92(1990) 166-176. [DOI] [MR1064692]
R. F. Werner: Wigner quantisation of arrival time and oscillator phase.
J. Phys. A 21(1988) 4565-4575. [DOI] [MR974703]
R. F. Werner: Arrival time observables in quantum mechanics.
Ann. Inst. H. Poincaré Phys. Théor. 47(1987) 429-449. [MR933685]
R. F. Werner: Screen observables in relativistic and nonrelativistic quantum mechanics.
J. Math. Phys. 27(1986) 793-803. [DOI] [MR825166]

⇑Dynamics

A. Barchielli and R. F. Werner: Hybrid quantum-classical systems: Quasi-free Markovian dynamics.
Int. J. Q. Inf. 22(24) 2440002. [arXiv:2307.02611] [DOI]
R. F. W. Inken Siemon, Alexander S. Holevo: Unbounded generators of dynamical semigroups.
Open Sys. Inf. Dyn. 24(2017) 1740015. Proceedings of "40 years of the GKLS equation", Torun 2016. [arXiv:1707.02266] [DOI]
F. A. Grünbaum, L. Velázquez, A. H. Werner, and R. F. Werner: Recurrence for discrete time unitary evolutions.
Comm. Math. Phys. 320(2013) 543-569. [arXiv:1202.3903] [DOI] [MR3053772]

⇑Relativistic quantum mechanics and field theory

R. Verch and R. F. Werner: Distillability and positivity of partial transposes in general quantum field systems.
Rev. Math. Phys. 17(2005) 545-576. [arXiv:quant-ph/0403089] [DOI] [MR2153773]
S. J. Summers and R. F. Werner: On Bell's inequalities and algebraic invariants.
Lett. Math. Phys. 33(1995) 321-334. [DOI] [MR1326345]
S. J. Summers and R. F. Werner: Maximal violation of Bell's inequalities for algebras of observables in tangent spacetime regions.
Ann. Inst. H. Poincaré Phys. Théor. 49(1988) 215-243. [MR984150]
S. J. Summers and R. F. Werner: Bell's inequalities and quantum field theory. II: Bell's inequalities are maximally violated in the vacuum.
J. Math. Phys. 28(1987) 2448-2456. [DOI] [MR908016]
S. J. Summers and R. F. Werner: Bell's inequalities and quantum field theory. I: General setting.
J. Math. Phys. 28(1987) 2440-2447. [DOI] [MR908015]
R. F. Werner: Local preparability of states and the split property in quantum field theory.
Lett. Math. Phys. 13(1987) 325-329. [DOI] [MR895295]
S. J. Summers and R. F. Werner: Maximal violation of Bell's inequalities is generic in quantum field theory.
Comm. Math. Phys. 110(1987) 247-259. [DOI] [MR887998]
S. J. Summers and R. F. Werner: The vacuum violates Bell's inequalities.
Phys. Lett. A 110(1985) 257-259. [DOI] [MR803854]
H. Neumann and R. F. Werner: Causality between preparation and registration processes in relativistic quantum theory.
Internat. J. Theoret. Phys. 22(1983) 781-802. [DOI] [MR717643]
H. Gerstberger, H. Neumann, and R. F. Werner: Makroskopische Kausalität und relativistische Quantenmechanik.
pp. 205-216 in: Grundlagenprobleme der modernen Physik, edited by J. Nitsch, J. Pfarr, and E.-W. Stachow.
B.I. Wissenschaftsverlag, Mannheim 1981.

⇑Non-standard commutation relations

P. E. T. Jørgensen, L. M. Schmitt, and R. F. Werner: Positive representations of general commutation relations allowing Wick ordering.
J. Funct. Anal. 134(1995) 33-99. [MR1359923]
P. E. T. Jørgensen and R. F. Werner: Coherent states of the q-canonical commutation relations.
Comm. Math. Phys. 164(1994) 455-471. [full text] [DOI] [MR1291240]
P. E. T. Jørgensen, L. M. Schmitt, and R. F. Werner: q-canonical commutation relations and stability of the Cuntz algebra.
Pacific J. Math. 165(1994) 131-151. [full text] [MR1285568] [mp-arc/92-52]
P. E. T. Jørgensen, L. M. Schmitt, and R. F. Werner: q-relations and stability of C*-isomorphism classes.
pp. 261-271 in: Algebraic methods in operator theory, edited by R. E. Curto and P. E. T. Jørgensen.
Birkhäuser, Boston 1994. [DOI] [MR1284951]
R. F. Werner: The free quon gas suffers Gibbs' paradox.
Phys. Rev. D 48(1993) 2929-2934. [DOI] [MR1236665]

⇑Other basic quantum structures

R. Schwonnek and R. F. Werner: Properties of the Wigner distribution for n arbitrary operators.
now included in companion paper.. [arXiv:1802.08343]
R. Schwonnek and R. F. Werner: The Wigner distributions for n arbitrary operators.
J. Math. Phys. 61(2020) 082103. [arXiv:1802.08342] [DOI] [MR4130407]
A. Ahlbrecht, F. Richter, and R. F. Werner: How long can it take for a quantum channel to forget everything?.
Int. J. Quant. Inf. 10(2012) 1250057. [arXiv:1205.0693] [DOI]
B. Nachtergaele, V. B. Scholz, and R. F. Werner: Local approximation of observables and commutator bounds.
pp. 143-150 in: Operator methods in mathematical physics, edited by J. Janas, P. Kurasov, and S. Naboko.
Birkhäuser, 2012. [arXiv:1103.5663] [MR3050163]
R. F. Werner: Aspects of nonlinearity in quantum mechanics.
pp. 1-4 in: NDES 2012; Nonlinear dynamics of electronic systems, edited by W. Matthis.
, 2012. [link]
Y. Zhang, L. H. Kauffman, and R. F. Werner: Permutation and its partial transpose.
Int. J. Quant. Inf. 5(2007) 469-507. [arXiv:quant-ph/0606005] [DOI]
F. Buscemi, M. Keyl, G. M. D'Ariano, P. Perinotti, and R. F. Werner: Clean positive operator valued measures.
J. Math. Phys. 46(2005) 082109. [arXiv:quant-ph/0505095] [DOI] [MR2165832]
T. Eggeling, D. Schlingemann, and R. F. Werner: Semicausal operations are semilocalizable.
Europhys. Lett. 57(2002) 782-788. [arXiv:quant-ph/0104027] [DOI]
K. G. H. Vollbrecht and R. F. Werner: Why two qubits are special.
J. Math. Phys. 41(2000) 6772-6782. [arXiv:quant-ph/9910064] [MR1781406]

⇑Foundations and Bohmianism

R. F. Werner: Bloß ungenau oder falsch --- Laborsprache und verborgene Variablen.
pp. 93-112 in: Unbestimmt und relativ? Das Weltbild der modernen Physik, edited by H. Fink and M. Kuhlmann.
Springer, 2023. [DOI]
R. F. Werner: Is an ontological commitment at the quantum level helpful for good physics?.
Talk at the conference ``New Directions in the Foundation of Physics'', Apr. 24, 2015. Slides with additional comments by Shelley Goldstein were posted at the conference site. [link]
R. F. Werner: What Maudlin replied to.
[arXiv:1411.2120]
R. F. Werner: Comment on What Bell did.
J. Phys. A 47(2014) 424011. [DOI]
R. F. Werner: A generalization of stochastic mechanics and its relation to quantum mechanics.
Phys. Rev. D 34(1986) 463-469. [DOI] [MR848083]

⇑More
Introductory

R. F. Werner: Das Ende der klassischen Welt: Der Physik-Nobelpreis 2022.
Unterricht Physik 33(2022) 47-48. [link]
T. Franz and R. Werner: Unmögliche Maschinen der Quantenphysik.
Praxis der Naturwissenschaften -- Physik in der Schule 65(2016) 39-43.
J. Duhme, T. Franz, S. Schmidt, and R. F. Werner: Verschränkung - Schlüssel zur Quantenwelt. Quanteninformationstheorie Teil 1: Grundlagen.
Physik in unserer Zeit 41(2010) 236-242. [DOI]
J. Duhme, T. Franz, S. Schmidt, and R. F. Werner: Geheime Nachrichten und schnelle Rechner. Quanteninformationstheorie Teil 2: Anwendungen.
Physik in unserer Zeit 41(2010) 236-242. [DOI]
R. F. Werner: Quantenrechner - die neue Generation von Supercomputern?.
pp. 141-168 in: Verschränkte Welt, edited by J. Audretsch.
Wiley-VCH, 2002. Also translated into English. [DOI]
R. F. Werner: Quantum information theory - An invitation.
pp. 14-57 in: Quantum information, edited by G. Alber and al..
Springer-Verlag, Berlin 2001. [arXiv:quant-ph/0101061] [DOI]

⇑Metascience

R. F. Werner: Bibliometrie und die Zukunft des wissenschaftlichen Publizierens.
Jahrbuch der BWG 2016(2017) 47-70. [link]
R. F. Werner: Why we should not think of PRL and Nature as THE top journals in physics.
Blog of IQOQI. [link]
R. F. Werner: The focus on bibliometrics makes papers less useful.
Nature (World View) 517(2015) 245. [DOI]
P. Zoller, T. Beth, D. Binosi, R. Blatt, H. Briegel, D. Bruss, T. Calarco, J. Cirac, D. Deutsch, J. Eisert, A. Ekert, C. Fabre, N. Gisin, P. Grangiere, M. Grassl, S. Haroche, A. Imamoglu, A. Karlson, J. Kempe, L. Kouwenhoven, S. Kroll, G. Leuchs, M. Lewenstein, D. Loss, N. Lutkenhaus, S. Massar, J. Mooij, M. Plenio, E. Polzik, S. Popescu, G. Rempe, A. Sergienko, D. Suter, J. Twamley, G. Wendin, R. F. Werner, A. Winter, J. Wrachtrup, and A. Zeilinger: Quantum information processing and communication - Strategic report on current status, visions and goals for research in Europe.
Eur. Phys. J. D 36(2005) {203-228}. [DOI]

Publications and Preprintsby R.F. Werner

Topics

Publications and Preprints
by R.F. Werner