Approximate Petz Recovery from the Geometry of Density Operators

Cree, Sam; Sorce, Jonathan

doi:10.1007/s00220-022-04357-2

Approximate Petz Recovery from the Geometry of Density Operators

Journal Article · 18 March 2022 · Communications in Mathematical Physics

DOI:https://doi.org/10.1007/s00220-022-04357-2· OSTI ID:1976615

Cree, Sam ^[1];

OSTI

Not provided.

Research Organization:: Univ. of California, Oakland, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

DOE Contract Number:: SC0019380

OSTI ID:: 1976615

Journal Information:: Communications in Mathematical Physics, Journal Name: Communications in Mathematical Physics Journal Issue: 3 Vol. 392; ISSN 0010-3616

Publisher:: Springer

Country of Publication:: United States

Language:: English

References (16)

Monotonicity of a relative Rényi entropy Frank, Rupert L.; Lieb, Elliott H. Journal of Mathematical Physics, Vol. 54, Issue 12 https://doi.org/10.1063/1.4838835	journal	December 2013
Generating random quantum channels Kukulski, Ryszard; Nechita, Ion; Pawela, Łukasz Journal of Mathematical Physics, Vol. 62, Issue 6 https://doi.org/10.1063/5.0038838	journal	June 2021
Data processing for the sandwiched Rényi divergence: a condition for equality Leditzky, Felix; Rouzé, Cambyse; Datta, Nilanjana Letters in Mathematical Physics, Vol. 107, Issue 1 https://doi.org/10.1007/s11005-016-0896-9	journal	November 2016
Strong Converse for the Classical Capacity of Entanglement-Breaking and Hadamard Channels via a Sandwiched Rényi Relative Entropy Wilde, Mark M.; Winter, Andreas; Yang, Dong Communications in Mathematical Physics, Vol. 331, Issue 2 https://doi.org/10.1007/s00220-014-2122-x	journal	July 2014
Reversing quantum dynamics with near-optimal quantum and classical fidelity Barnum, H.; Knill, E. Journal of Mathematical Physics, Vol. 43, Issue 5 https://doi.org/10.1063/1.1459754	journal	January 2002
On quantum Rényi entropies: A new generalization and some properties Müller-Lennert, Martin; Dupuis, Frédéric; Szehr, Oleg Journal of Mathematical Physics, Vol. 54, Issue 12 https://doi.org/10.1063/1.4838856	journal	December 2013
QUANTUM f-DIVERGENCES AND ERROR CORRECTION Hiai, Fumio; Mosonyi, MilÁN; Petz, DÉNes Reviews in Mathematical Physics, Vol. 23, Issue 07 https://doi.org/10.1142/S0129055X11004412	journal	August 2011
Gauss’ Law and string-localized quantum field theory Mund, Jens; Rehren, Karl-Henning; Schroer, Bert Journal of High Energy Physics, Vol. 2020, Issue 1 https://doi.org/10.1007/JHEP01(2020)001	journal	January 2020
α -logarithmic negativity Wang, Xin; Wilde, Mark M. Physical Review A, Vol. 102, Issue 3 https://doi.org/10.1103/PhysRevA.102.032416	journal	September 2020
Recoverability for optimized quantum f-divergences Gao, Li; Wilde, Mark M. Journal of Physics A: Mathematical and Theoretical, Vol. 54, Issue 38 https://doi.org/10.1088/1751-8121/ac1dc2	journal	September 2021
Geometric conditions for saturating the data processing inequality Cree, Sam; Sorce, Jonathan Journal of Physics A: Mathematical and Theoretical, Vol. 55, Issue 13 https://doi.org/10.1088/1751-8121/ac5648	journal	March 2022
Universal Recovery Maps and Approximate Sufficiency of Quantum Relative Entropy Junge, Marius; Renner, Renato; Sutter, David Annales Henri Poincaré, Vol. 19, Issue 10 https://doi.org/10.1007/s00023-018-0716-0	journal	August 2018
Sufficiency of Channels over von Neumann Algebras Petz, DÉNes The Quarterly Journal of Mathematics, Vol. 39, Issue 1 https://doi.org/10.1093/qmath/39.1.97	journal	January 1988
Sufficient subalgebras and the relative entropy of states of a von Neumann algebra Petz, D�nes Communications in Mathematical Physics, Vol. 105, Issue 1 https://doi.org/10.1007/BF01212345	journal	March 1986
Sandwiched Rényi divergence satisfies data processing inequality Beigi, Salman Journal of Mathematical Physics, Vol. 54, Issue 12 https://doi.org/10.1063/1.4838855	journal	December 2013
General state changes in quantum theory Kraus, K. Annals of Physics, Vol. 64, Issue 2 https://doi.org/10.1016/0003-4916(71)90108-4	journal	June 1971

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