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Quantum channel estimation and discrimination are fundamentally related information processing tasks of interest in quantum information science.
Quantifying the magic of quantum channels
Xin Wang, Mark M. Wilde, and Yuan Su · 1903
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Siddhartha Das and Mark M. Wilde · 1904
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Luigi Seveso, Francesco Albarelli, Marco G. Genoni, and Matteo G. A. Paris · 1906
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A geometric perspective on quantum parameter estimation
Jasminder S. Sidhu and Pieter Kok · 1907
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Resource theory of asymmetric distinguishability for quantum channels
Xin Wang and Mark M. Wilde · 1907
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Geometric Rényi divergence and its applications in quantum channel capacities
Kun Fang and Hamza Fawzi · 1909
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Chain rule for the quantum relative entropy
Kun Fang, Omar Fawzi, Renato Renner, and David Sutter · 1909
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Optimal approximate quantum error correction for quantum metrology
Sisi Zhou and Liang Jiang · 1910
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An exact correspondence between the quantum Fisher information and the Bures metric
Sisi Zhou and Liang Jiang · 1910
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Quantifying the unextendibility of entanglement
Kun Wang, Xin Wang, and Mark M. Wilde · 1911
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Theory of statistical estimation
Ronald A. Fisher · 1925
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Information and the accuracy attainable in the estimation of statistical parameters
Calyampudi Radakrishna Rao · 1945
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Mathematical Methods of Statistics
Harald Cramér · 1946
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Positive functions on C*-algebras
William F. Stinespring · 1955
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Conditional expectations in an operator algebra IV (entropy and information)
Hisaharu Umegaki · 1962
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Minimum mean-squared error of estimates in quantum statistics
Carl W. Helstrom · 1967
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Quantum detection and estimation theory
Carl W. Helstrom · 1969
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An analogue of statistical decision theory and noncommutative probability theory
Alexander S. Holevo · 1972
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Multiple-parameter quantum estimation and measurement of nonselfadjoint observables
Horace Yuen and Melvin Lax · 1973
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Quantum Detection and Estimation Theory
Carl W. Helstrom · 1976
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The “transition probability” in the state space of a *-algebra
Armin Uhlmann · 1976
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Studies in Mathematical Physics
Elliott H. Lieb and Walter Thirring · 1976
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Information-theoretical aspects of quantum measurement
Eduard Prugovečki · 1977
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Concavity of certain maps on positive definite matrices and applications to Hadamard products
Tsuyoshi Ando · 1979
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Some assorted inequalities for positive linear maps on C*-algebras
Man-Duen Choi · 1980
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Means of positive linear operators
Fumio Kubo and Tsuyoshi Ando · 1980
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Quantum mechanical noise in an interferometer
Carlton M. Caves · 1981
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Positive cones and ℓ p \ell_{p} -spaces for von Neumann algebras
Huzihiro Araki and Tetsuya Masuda · 1982
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C*-algebraic generalization of relative entropy and entropy
V. P. Belavkin and P. Staszewski · 1982
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Quasi-entropies for states of a von Neumann algebra
Dénes Petz · 1985
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SU(2) and SU(1,1) interferometers
Bernard Yurke, Samuel L. McCall, and John R. Klauder · 1986
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Quasi-entropies for finite quantum systems
Dénes Petz · 1986
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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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A new approach to Cramer-Rao bounds for quantum state estimation
Hiroshi Nagaoka · 1989
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On an inequality of Lieb and Thirring
Huzihiro Araki · 1990
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The proper formula for relative entropy and its asymptotics in quantum probability
Fumio Hiai and Dénes Petz · 1991
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Informationally complete sets of physical quantities
Paul Busch · 1991
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Quantum limits on precision measurements of phase
Samuel L. Braunstein · 1992
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Explicit computation of the Bures distance for density matrices
Matthias Hubner · 1992
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Fundamentals of Statistical Signal Processing, Volume I: Estimation Theory
Steven M. Kay · 1993
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Statistical distance and the geometry of quantum states
Samuel L. Braunstein and Carlton M. Caves · 1994
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One-parameter pure state estimation based on the symmetric logarithmic derivative
Akio Fujiwara · 1994
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Monotone metrics on matrix spaces
Dénes Petz · 1996
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Correlated input-port, matter-wave interferometer: Quantum-noise limits to the atom-laser gyroscope
Jonathan P. Dowling · 1998
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Contraction of generalized relative entropy under stochastic mappings on matrices
Dénes Petz and Mary Beth Ruskai · 1998
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Optimal states and almost optimal adaptive measurements for quantum interferometry
Dominic W. Berry and Howard M. Wiseman · 2000
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Quantum Computation and Quantum Information
Michael A. Nielsen and Isaac L. Chuang · 2000
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Time-information uncertainty relations in thermodynamics
Schuyler B. Nicholson, Luis Pedro Garcia-Pintos, Adolfo del Campo, and Jason R. Green · 2001
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Evaluating the advantage of adaptive strategies for quantum channel distinguishability
Vishal Katariya and Mark M. Wilde · 2001
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Quantum channel identification problem
Akio Fujiwara · 2001
Cited alongside, same era.
The geometric mean, matrices, metrics, and more
Jimmie D. Lawson and Yongdo Lim · 2001
Cited alongside, same era.
Optimal parameter estimation of a depolarizing channel
Masahide Sasaki, Masashi Ban, and Stephen M. Barnett · 2002
Cited alongside, same era.
Communication cost of quantum processes
Yuxiang Yang, Giulio Chiribella, and Masahito Hayashi · 2002
Cited alongside, same era.
Two quantum analogues of Fisher information from a large deviation viewpoint of quantum estimation
Masahito Hayashi · 2002
Cited alongside, same era.
Quantum parameter estimation of a generalized Pauli channel
Akio Fujiwara and Hiroshi Imai · 2003
A new quantum version of f-divergence
Keiji Matsumoto · 2013
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Quantum Systems, Channels, Information: A Mathematical Introduction
Alexander S. Holevo · 2013
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On quantum Rényi entropies: a new generalization and some properties
Martin Müller-Lennert, Frédéric Dupuis, Oleg Szehr, Serge Fehr, and Marco Tomamichel · 2013
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Simpler semidefinite programs for completely bounded norms
John Watrous · 2013
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Using entanglement against noise in quantum metrology
Rafal Demkowicz-Dobrzanski and Lorenzo Maccone · 2014
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Cited alongside, same era.
On the capacities of bipartite Hamiltonians and unitary gates
Charles H. Bennett, Aram W. Harrow, Debbie W. Leung, and John A. Smolin · 2003
Cited alongside, same era.
Asymptotic theory of quantum channel estimation
Sisi Zhou and Liang Jiang · 2003
Cited alongside, same era.
Bures volume of the set of mixed quantum states
Hans-Jürgen Sommers and Karol Zyczkowski · 2003
Cited alongside, same era.
Jensen’s operator inequality
Frank Hansen and Gert K. Pedersen · 2003
Cited alongside, same era.
Estimation of a generalized amplitude-damping channel
Akio Fujiwara · 2004
Cited alongside, same era.
Convex Optimization
Stephen Boyd and Lieven Vandenberghe · 2004
Cited alongside, same era.
Later among the works it cites.
Mark M. Wilde, Andreas Winter, and Dong Yang · 2014
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Quantum fidelities, their duals, and convex analysis
Keiji Matsumoto · 2014
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On the condition of conversion of classical probability distribution families into quantum families
Keiji Matsumoto · 2014
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Quantum Fisher information for density matrices with arbitrary ranks
Jing Liu, Xiao-Xing Jing, Wei Zhong, and Xiao-Guang Wang · 2014
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A limit of the quantum Rényi divergence
Nilanjana Datta and Felix Leditzky · 2014
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Quantum limits in optical interferometry
Rafal Demkowicz-Dobrzanski, Marcin Jarzyna, and Jan Kolodynski · 2015
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Quantum Information Processing with Finite Resources: Mathematical Foundations
Marco Tomamichel · 2015
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Extended convexity of quantum fisher information in quantum metrology
S. Alipour and A. T. Rezakhani · 2015
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Manish Gupta and Mark M. Wilde · 2015
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A faster cutting plane method and its implications for combinatorial and convex optimization
Yin Tat Lee, Aaron Sidford, and Sam Chiu Wai Wong · 2015
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Milán Mosonyi and Tomohiro Ogawa · 2015
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Tom Cooney, Milán Mosonyi, and Mark M. Wilde · 2016
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Relative entropies and their use in quantum information theory
Felix Leditzky · 2016
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Optimal estimation and discrimination of excess noise in thermal and amplifier channels
Masahiro Takeoka and Mark M. Wilde · 2016
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Quantum metrology with full and fast quantum control
Pavel Sekatski, Michalis Skotiniotis, Janek Kołodyński, and Wolfgang Dür · 2017
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Adaptive quantum metrology under general Markovian noise
Rafal Demkowicz-Dobrzanski, Jan Czajkowski, and Pavel Sekatski · 2017
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Fidelity and Fisher information on quantum channels
Haidong Yuan and Chi-Hang Fred Fung · 2017
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Different quantum f f -divergences and the reversibility of quantum operations
Fumio Hiai and Milán Mosonyi · 2017
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Mark M. Wilde · 2017
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Strong converse rates for quantum communication
Marco Tomamichel, Mark M. Wilde, and Andreas Winter · 2017
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Converse bounds for private communication over quantum channels
Mark M. Wilde, Marco Tomamichel, and Mario Berta · 2017
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Resource theory of coherence: Beyond states
Khaled Ben Dana, María García Díaz, Mohamed Mejatty, and Andreas Winter · 2017
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General heuristics for nonconvex quadratically constrained quadratic programming
Jaehyun Park and Stephen Boyd · 2017
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private communication
Milán Mosonyi · 2017
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Discontinuities of the quantum Fisher information and the Bures metric
Dominik Šafránek · 2017
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Nonequilibrium uncertainty principle from information geometry
Schuyler B. Nicholson, Adolfo del Campo, and Jason R. Green · 2018
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Achieving the Heisenberg limit in quantum metrology using quantum error correction
Sisi Zhou, Mengzhen Zhang, John Preskill, and Liang Jiang · 2018
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A new quantum version of f-divergence
Keiji Matsumoto · 2018
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The Theory of Quantum Information
John Watrous · 2018
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Frequentist and bayesian quantum phase estimation
Yan Li, Luca Pezzè, Manuel Gessner, Zhihong Ren, Weidong Li, and Augusto Smerzi · 2018
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Simple expression for the quantum Fisher information matrix
Dominik Šafránek · 2018
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Optimized quantum f-divergences and data processing
Mark M. Wilde · 2018
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Amortized entanglement of a quantum channel and approximately teleportation-simulable channels
Eneet Kaur and Mark M. Wilde · 2018
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Approaches for approximate additivity of the Holevo information of quantum channels
Felix Leditzky, Eneet Kaur, Nilanjana Datta, and Mark M. Wilde · 2018
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Versatile relative entropy bounds for quantum networks
Luca Rigovacca, Go Kato, Stefan Baeuml, M. S. Kim, W. J. Munro, and Koji Azuma · 2018
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Amortization does not enhance the max-Rains information of a quantum channel
Mario Berta and Mark M. Wilde · 2018
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Jointly constrained semidefinite bilinear programming with an application to Dobrushin curves
Stefan Huber, Robert König, and Marco Tomamichel · 2018
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Bounding the energy-constrained quantum and private capacities of bosonic thermal channels
Kunal Sharma, Mark M. Wilde, Sushovit Adhikari, and Masahiro Takeoka · 2018
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Quantum speedup in the identification of cause-effect relations
Giulio Chiribella and Daniel Ebler · 2019
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Extendibility limits the performance of quantum processors
Eneet Kaur, Siddhartha Das, Mark M. Wilde, and Andreas Winter · 2019
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Quantum reading capacity: General definition and bounds
Siddhartha Das and Mark M. Wilde · 2019
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Amortized channel divergence for asymptotic quantum channel discrimination
Mark M. Wilde, Mario Berta, Christoph Hirche, and Eneet Kaur · 2020
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Siddhartha Das, Stefan Bäuml, and Mark M. Wilde · 2020
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Coherence distillation machines are impossible in quantum thermodynamics
Iman Marvian · 2020
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Enhanced sensitivity of photodetection via quantum illumination
Seth Lloyd · 2022
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