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The Petz recovery channel plays an important role in quantum information science as an operation that approximately reverses the effect of a quantum channel.
Replica wormholes and the black hole interior, November 2019
Geoff Penington, Stephen H. Shenker, Douglas Stanford, and Zhenbin Yang · 1911
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Optimal distinction of non-orthogonal quantum signals
Viacheslav Belavkin · 1975
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Optimal multiple quantum statistical hypothesis testing
Viacheslav Belavkin · 1975
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On asymptotically optimal hypothesis testing in quantum statistics
Alexander S. Holevo · 1979
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Sufficient subalgebras and the relative entropy of states of a von Neumann algebra
Dénes Petz · 1986
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Sufficiency of channels over von Neumann algebras
Dénes Petz · 1988
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On the Quantum Mechanical Channel Capacity as a Function of the Density Matrix
Paul Hausladen · 1993
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Quantum Entropy and Its Use
Masanori Ohya and Denes Petz · 1993
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A ‘pretty good’ measurement for distinguishing quantum states
Paul Hausladen and William K. Wootters · 1994
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Classical information capacity of a quantum channel
Paul Hausladen, Richard Jozsa, Benjamin Schumacher, Michael Westmoreland, and William K. Wootters · 1996
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Sending classical information via noisy quantum channels
Benjamin Schumacher and Michael D. Westmoreland · 1997
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Quantum computations: algorithms and error correction
Alexei Yu Kitaev · 1997
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The capacity of the quantum channel with general signal states
Alexander S. Holevo · 1998
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Reversing quantum dynamics with near-optimal quantum and classical fidelity
Howard Barnum and Emanuel Knill · 2002
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Quantum amplitude amplification and estimation
Gilles Brassard, Peter Høyer, Michele Mosca, and Alain Tapp · 2002
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Structure of states which satisfy strong subadditivity of quantum entropy with equality
Patrick Hayden, Richard Jozsa, Dénes Petz, and Andreas Winter · 2004
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Approximate recovery and relative entropy I. general von Neumann subalgebras
Thomas Faulkner, Stefan Hollands, Brian Swingle, and Yixu Wang · 2006
Cited alongside, same era.
Petz reconstruction in random tensor networks
Hewei Frederic Jia and Mukund Rangamani · 2006
Cited alongside, same era.
Optimal measurements for the dihedral hidden subgroup problem
Dave Bacon, Andrew M. Childs, and Wim van Dam · 2006
Cited alongside, same era.
Simple approach to approximate quantum error correction based on the transpose channel
Hui Khoon Ng and Prabha Mandayam · 2010
Cited alongside, same era.
Joseph M. Renes · 2017
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Optimal quantum sample complexity of learning algorithms
Srinivasan Arunachalam and Ronald de Wolf · 2017
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Hamiltonian simulation with optimal sample complexity
Shelby Kimmel, Cedric Yen-Yu Lin, Guang Hao Low, Maris Ozols, and Theodore J. Yoder · 2017
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Efficient quantum algorithms for simulating Lindblad evolution
Richard Cleve and Chunhao Wang · 2017
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Universal recovery from a decrease of quantum relative entropy
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Jon Tyson · 2010
Cited alongside, same era.
Towards a unified framework for approximate quantum error correction
Prabha Mandayam and Hui Khoon Ng · 2012
Cited alongside, same era.
Towards a formulation of quantum theory as a causally neutral theory of Bayesian inference
Matthew S. Leifer and Robert W. Spekkens · 2013
Cited alongside, same era.
Quantum achievability proof via collision relative entropy
Salman Beigi and Amin Gohari · 2014
Cited alongside, same era.
Quantum principal component analysis
Seth Lloyd, Masoud Mohseni, and Patrick Rebentrost · 2014
Cited alongside, same era.
Exponential improvement in precision for simulating sparse Hamiltonians
Dominic W. Berry, Andrew M. Childs, Richard Cleve, Robin Kothari, and Rolando D. Somma · 2014
Cited alongside, same era.
Entanglement sampling and applications
Frederic Dupuis, Omar Fawzi, and Stephanie Wehner · 2015
Cited alongside, same era.
Recoverability in quantum information theory
Mark M. Wilde · 2015
Cited alongside, same era.
Marius Junge, Renato Renner, David Sutter, Mark M. Wilde, and Andreas Winter · 2018
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Approximate reversal of quantum Gaussian dynamics
Ludovico Lami, Siddhartha Das, and Mark M. Wilde · 2018
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András Gilyén, Yuan Su, Guang Hao Low, and Nathan Wiebe · 2018
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Recovery map for fermionic Gaussian channels
Brian G. Swingle and Yixu Wang · 2019
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Entanglement wedge reconstruction via universal recovery channels
Jordan Cotler, Patrick Hayden, Geoffrey Penington, Grant Salton, Brian Swingle, and Michael Walter · 2019
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Hamiltonian simulation by qubitization
Guang Hao Low and Isaac L. Chuang · 2019
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András Gilyén, Yuan Su, Guang Hao Low, and Nathan Wiebe · 2019
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Quantum Singular Value Transformation & Its Algorithmic Applications
András Gilyén · 2019
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Improvements in quantum SDP-solving with applications
Joran van Apeldoorn and András Gilyén · 2019
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Recovery map stability for the data processing inequality
Eric A. Carlen and Anna Vershynina · 2020
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Quantum polar decomposition algorithm
Seth Lloyd, Samuel Bosch, Giacomo De Palma, Bobak Kiani, Zi-Wen Liu, Milad Marvian, Patrick Rebentrost, and David M. Arvidsson-Shukur · 2020
Closest in time.