Publications by Topic

Reinhard F. Werner

This list is not complete, since some papers refused to settle into non-trivial groups. For a more complete list with abstracts, see the pages of the QI group.

Arrival time in quantum mechanics
Finitely correlated states (aka matrix product states)
... other papers on spin chains
Mean field theory
... other statistical mechanics
Quantum mechanics in phase space and classical limit
Bell inequality violation in quantum field theory
Bell inequalities and qualitative entanglement theory
Quantum information tasks
Quantum error correction
Entanglement measures and capacities
Nonstandard commutation relations
Basic quantum structures
Quantum walks and quantum cellular automata
Introductory or popular

⇑ Arrival time in quantum mechanics

R. F. Werner: Screen observables in relativistic and nonrelativistic quantum mechanics.
J. Math. Phys. 27(1986) 793-803
[DOI] [MR825166]
R. F. Werner: Arrival time observables in quantum mechanics.
Ann. Inst. H. Poincaré Phys. Théor. 47(1987) 429-449
[MR933685]
R. F. Werner: Wigner quantisation of arrival time and oscillator phase.
J. Phys. A 21(1988) 4565-4575
[DOI] [MR974703]
R. F. Werner: Dilations of symmetric operators shifted by a unitary group.
J. Funct. Anal. 92(1990) 166-176
[MR1064692]
J. Kiukas, A. Ruschhaupt, and R. F. Werner: Tunneling times with covariant measurements.
Foundation of Physics 39(2009) 829-846
[arXiv:0907.1792] [DOI]

⇑ Finitely correlated states (aka matrix product states)

M. Fannes, B. Nachtergaele, and R. F. Werner: Exact antiferromagnetic ground-states of quantum spin chains.
Europhys. Lett. 10(1989) 633-637
[DOI]
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: 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: 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]
M. Fannes, B. Nachtergaele, and R. F. Werner: Finitely correlated states on quantum spin chains.
Comm. Math. Phys. 144(1992) 443-490
[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: Finitely correlated pure states.
J. Funct. Anal. 120(1994) 511-534
[MR1266319]
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.
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] [DOI] [MR1370078]
O. Bratteli, P. E. T. Jørgensen, A. Kishimoto, and R. F. Werner: Pure states on O_d.
J. Operator Theory 43(2000) 97-143
[MR1740897]

⇑ ... other papers on spin chains

C.-T. Gottstein and R. F. Werner: Ground states of the infinite q-deformed Heisenberg ferromagnet.
[arXiv:cond-mat/9501123]
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]
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]

⇑ Mean field theory

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]
G. A. Raggio and R. F. Werner: The Gibbs variational principle for inhomogeneous mean-field systems.
Helv. Phys. Acta 64(1991) 633-667
[MR1127778]
N. G. Duffield and R. F. Werner: Mean-field dynamical semigroups on C*-algebras.
Rev. Math. Phys. 4(1992) 383-424
[DOI] [MR1189117]
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. [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]
N. G. Duffield and R. F. Werner: Local dynamics of mean-field quantum systems.
Helv. Phys. Acta 65(1992) 1016-1054
[MR1200101]
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. [MR1186674]

⇑ ... other statistical mechanics

R. F. Werner: The concept of embeddings in statistical mechanics.
PhD Thesis, Marburg 1982.
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.
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]
K. Bärwinkel and R. F. Werner: Bounds to linear transfer and accomodation at the gas-solid interface.
pp. in: Rarefied gas dynamics, edited by O. Belotserkovskii, M. Kogan, S. Kutateladze, and A. Rebrov.
Plenum, New York 1985.
E. Buffet and R. F. Werner: A counterexample in coagulation theory.
J. Math. Phys. 32(1991) 2276-2278
[DOI] [MR1123623]
R. F. Werner: Inequalities expressing the Pauli principle for generalized observables.
pp. 179-196 in: Mathematical methods in statistical mechanics (leuven, 1988), edited by .
Leuven Univ. Press, Leuven 1989. [MR1060777]

⇑ Quantum mechanics in phase space and classical limit

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]
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.
T. Bröcker and R. F. Werner: Mixed states with positive Wigner functions.
J. Math. Phys. 36(1995) 62-75
[DOI] [MR1308628]
R. F. Werner: The classical limit of quantum theory.
[arXiv:quant-ph/9504016]
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]
R. F. Werner: The uncertainty relation for joint measurement of position and momentum.
Quantum Inform. Comput. 4(2004) 546-562
[arXiv:quant-ph/0405184] [MR2124572]

⇑ Bell inequality violation in quantum field theory

S. J. Summers and R. F. Werner: The vacuum violates Bell's inequalities.
Phys. Lett. A 110(1985) 257-259
[DOI] [MR803854]
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]
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: Maximal violation of Bell's inequalities is generic in quantum field theory.
Commun. Math. Phys. 110(1987) 247-259
[DOI] [MR887998]
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: On Bell's inequalities and algebraic invariants.
Lett. Math. Phys. 33(1995) 321-334
[DOI] [MR1326345]
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]

⇑ Bell inequalities and qualitative entanglement theory

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.
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: Remarks on a quantum state extension problem.
Lett. Math. Phys. 19(1990) 319-326
[DOI] [MR1051814]
R. F. Werner: EPR states for von Neumann algebras.
[arXiv:quant-ph/9910077]
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]
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: Bell inequalities and entanglement.
Quantum Inform. Comput. 1(2001) 1-25
[arXiv:quant-ph/0107093] [MR1907485]
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 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]
M. Keyl, D. Schlingemann, and R. F. Werner: Infinitely entangled states.
Quantum Inform. Comput. 3(2003) 281-306
[arXiv:quant-ph/0212014] [MR2003567]
R. F. Werner, A. S. Holevo, and M. E. Shirokov: On the concept of entanglement in Hilbert spaces.
Uspekhi Mat. Nauk 60(2005) 153-154
[arXiv:quant-ph/0504204] [MR2152950]
V. B. Scholz and R. F. Werner: Tsirelson's problem.
[arXiv:0812.4305]

⇑ Quantum information tasks

R. F. Werner: Optimal cloning of pure states.
Phys. Rev. A 58(1998) 1827-1832
[arXiv:quant-ph/9804001] [DOI]
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]
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]
V. Buzek, M. Hillery, and F. Werner: Universal-NOT gate.
J. Modern Opt. 47(2000) 211-232
[MR1756849]
R. F. Werner: All teleportation and dense coding schemes.
J. Phys. A 34(2001) 7081-7094
[arXiv:quant-ph/0003070] [MR1863141]
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]
T. Eggeling and R. F. Werner: Hiding classical data in multipartite quantum states.
Phys. Rev. Lett. 89(2002) 097905
[arXiv:quant-ph/0203004] [DOI]
G. M. D'Ariano, R. D. Gill, M. Keyl, R. F. Werner, B. Kümmerer, and H. Maassen: The quantum Monty Hall problem.
Quantum Inform. Comput. 2(2002) 355-366
[arXiv:quant-ph/0202120] [MR1929308]
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. Reimpell and R. F. Werner: A meaner king uses biased bases.
Phys. Rev. A 75(2007) 062334
[arXiv:quant-ph/0612035] [DOI] [MR2328765]
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]

⇑ Quantum error correction

D. Schlingemann and R. F. Werner: Quantum error-correcting codes associated with graphs.
Phys. Rev. A 65(2002) 012308
[arXiv:quant-ph/0012111] [DOI]
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]
M. Reimpell and R. F. Werner: Iterative optimization of quantum error correcting codes.
Phys. Rev. Lett. 94(2005) 080501
[arXiv:quant-ph/0307138] [DOI]
M. Gregoratti and R. F. Werner: Quantum lost and found.
J. Modern Opt. 50(2003) 915-933
[arXiv:quant-ph/0209025] [DOI] [MR1994982]
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]

⇑ Entanglement measures and capacities

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]
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.
M. Keyl and R. F. Werner: The rate of optimal purification procedures.
Ann. Henri Poincaré 2(2001) 1-26
[DOI] [MR1823831]
K. G. H. Vollbrecht and R. F. Werner: Entanglement measures under symmetry.
Phys. Rev. A 64(2001) 062307
[arXiv:quant-ph/0010095] [DOI]
G. Vidal and R. F. Werner: Computable measure of entanglement.
Phys. Rev. A 65(2002) 032314
[arXiv:quant-ph/0102117] [DOI]
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]
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]
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. 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]
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]
D. Kretschmann and R. F. Werner: Quantum channels with memory.
Phys. Rev. A 72(2005) 062323
[arXiv:quant-ph/0502106] [DOI]
O. Gühne, M. Reimpell, and R. F. Werner: Estimating entanglement measures in experiments.
Phys. Rev. Lett. 98(2007) 110502
[arXiv:quant-ph/0607163] [DOI]

⇑ Nonstandard commutation relations

R. F. Werner: The free quon gas suffers Gibbs' paradox.
Phys. Rev. D (3) 48(1993) 2929-2934
[DOI] [MR1236665]
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
[MR1285568]
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. [MR1284951]
P. E. T. Jørgensen and R. F. Werner: Coherent states of the $q$-canonical commutation relations.
Comm. Math. Phys. 164(1994) 455-471
[DOI] [MR1291240]
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]

⇑ Basic quantum structures

R. F. Werner: A generalization of stochastic mechanics and its relation to quantum mechanics.
Phys. Rev. D 34(1986) 463-469
[DOI] [MR848083]
M. Fannes and R. F. Werner: Boundary conditions for quantum lattice systems.
Helv. Phys. Acta 68(1995) 635-657
[arXiv:cond-mat/9504090] [MR1395060]
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]
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]
D. Kretschmann, D. Schlingemann, and R. F. Werner: A continuity theorem for Stinespring's dilation.
J. Funct. Anal. 255(2008) 1889-1904
[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
[DOI] [MR2450296]

⇑ Quantum walks and quantum cellular automata

S. Richter and R. F. Werner: Ergodicity of quantum cellular automata.
J. Statist. Phys. 82(1996) 963-998
[arXiv:cond-mat/9504001] [DOI] [MR1372433]
B. Schumacher and R. F. Werner: Reversible quantum cellular automata.
[arXiv:quant-ph/0405174]
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.
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.-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]
J. Gütschow, S. Uphoff, R. F. Werner, and Z. Zimborás: Time asymptotics and entanglement generation of clifford quantum cellular automata.
[arXiv:0906.3195]

⇑ Introductory or popular

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]
R. F. Werner: Quantenrechner - die neue Generation von Supercomputern?.
pp. 141-168 in: Verschränkte Welt, edited by J. Audretsch.
Wiley-VCH, 2002.

Last updated: Jul 20, 2009
Back to home page