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The fidelity-based smooth min-relative entropy is a distinguishability measure that has appeared in a variety of contexts in prior work on quantum information, including resource theories like thermodynamics and coherence.
S. Khatri, E. Kaur, S. Guha, and M. M. Wilde, “Second-order coding rates for key distillation in quantum key distribution,” 2019 · 1910
Earlier work this paper cites.
W. F. Stinespring, “Positive Functions on C*-Algebras,” Proceedings of the American Mathematical Society
1955
Earlier work this paper cites.
H. Umegaki, “Conditional expectations in an operator algebra IV (entropy and information),” Kodai Mathematical Seminar Reports
1962
Earlier work this paper cites.
R. Blahut, “Hypothesis testing and information theory,” IEEE Transactions on Information Theory
1974
Earlier work this paper cites.
A. Uhlmann, “The “transition probability” in the state space of a *-algebra,” Reports on Mathematical Physics
1976
Earlier work this paper cites.
H. Konno, “A cutting plane algorithm for solving bilinear programs,” Mathematical Programming
1976
Earlier work this paper cites.
D. Petz, “Quasi-entropies for States of a von Neumann Algebra,” Publications of the Research Institute for Mathematical Sciences
1985
Earlier work this paper cites.
D. Petz, “Quasi-entropies for finite quantum systems,” Reports in Mathematical Physics
1986
Earlier work this paper cites.
K. Życzkowski, P. Horodecki, A. Sanpera, and M. Lewenstein, “Volume of the set of separable states,” Physical Review A
1998
Earlier work this paper cites.
A. E. Rastegin, “Relative error of state-dependent cloning,” Physical Review A
2002
Earlier work this paper cites.
J. Oppenheim, M. Horodecki, P. Horodecki, and R. Horodecki, “Thermodynamical approach to quantifying quantum correlations,” Physical Review Letters
2002
Earlier work this paper cites.
arXiv:quant-ph/0102117
G. Vidal and R. F. Werner, “Computable measure of entanglement,” Physical Review A · 2002
Earlier work this paper cites.
A. E. Rastegin, “A lower bound on the relative error of mixed-state cloning and related operations,” Journal of Optics B: Quantum and Semiclassical Optics
2003
Earlier work this paper cites.
R. Renner and S. Wolf, “Smooth Rényi entropy and applications,” in International Symposium on Information Theory
2004
Earlier work this paper cites.
I. Devetak and A. Winter, “Distilling common randomness from bipartite quantum states,” IEEE Transactions on Information Theory
2004
Earlier work this paper cites.
PhD thesis, ETH Zürich, 2005
R. Renner, Security of Quantum Key Distribution · 2005
Earlier work this paper cites.
A. Gilchrist, N. K. Langford, and M. A. Nielsen, “Distance measures to compare real and ideal quantum processes,” Physical Review A
2005
Earlier work this paper cites.
I. Devetak, “Distillation of local purity from quantum states,” Physical Review A
2005
Earlier work this paper cites.
B. Groisman, S. Popescu, and A. Winter, “Quantum, classical, and total amount of correlations in a quantum state,” Physical Review A
2005
Earlier work this paper cites.
A. E. Rastegin, “Sine distance for quantum states,” arXiv:quant-ph/0602112
2006
Earlier work this paper cites.
H. Krovi and I. Devetak, “Local purity distillation with bounded classical communication,” Physical Review A
2007
Earlier work this paper cites.
K. M. R. Audenaert, J. Calsamiglia, R. Muñoz-Tapia, E. Bagan, L. Masanes, A. Acin, and F. Verstraete, “Discriminating states: The quantum Chernoff bound,” Physical Review Letters
2007
Earlier work this paper cites.
I. Devetak, A. W. Harrow, and A. Winter, “A resource framework for quantum Shannon theory,” IEEE Transactions on Information Theory
2008
Earlier work this paper cites.
N. Datta, “Min-and max-relative entropies and a new entanglement monotone,” IEEE Transactions on Information Theory
2009
Earlier work this paper cites.
C. Schaffner, B. Terhal, and S. Wehner, “Robust cryptography in the noisy-quantum-storage model,” Quantum Information and Computation
2009
Earlier work this paper cites.
M. Nussbaum and A. Szkoła, “The Chernoff lower bound for symmetric quantum hypothesis testing,” Annals of Statistics
2009
Cited alongside, same era.
F. Buscemi and N. Datta, “The quantum capacity of channels with arbitrarily correlated noise,” IEEE Transactions on Information Theory
2010
Cited alongside, same era.
Y. Polyanskiy, H. V. Poor, and S. Verdu, “Channel coding rate in the finite blocklength regime,” IEEE Transactions on Information Theory
2010
Cited alongside, same era.
M. Tomamichel, R. Colbeck, and R. Renner, “Duality between smooth min- and max-entropies,” IEEE Transactions on Information Theory
2010
Cited alongside, same era.
S. Khatri and M. M. Wilde, “Principles of quantum communication theory: A modern approach,” 2020 · 2011
Cited alongside, same era.
C. T. Chubb, V. Y. F. Tan, and M. Tomamichel, “Moderate deviation analysis for classical communication over quantum channels,” Communications in Mathematical Physics
2017
Later among the works it cites.
PhD thesis, Massachusetts Institute of Technology, 2018
Z.-W. Liu, On quantum randomness and quantum resources · 2018
Later among the works it cites.
M. M. Wilde, “Optimized quantum f f -divergences and data processing,” Journal of Physics A
2018
Later among the works it cites.
M. M. Wilde, “Optimized quantum f-divergences,” in IEEE International Symposium on Information Theory (ISIT)
2018
Later among the works it cites.
H. Qi, Q. Wang, and M. M. Wilde, “Applications of position-based coding to classical communication over quantum channels,” Journal of Physics A: Mathematical and Theoretical
2018
Later among the works it cites.
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F. G. S. L. Brandao and N. Datta, “One-shot rates for entanglement manipulation under non-entangling maps,” IEEE Transactions on Information Theory
2011
Cited alongside, same era.
L. Wang and R. Renner, “One-shot classical-quantum capacity and hypothesis testing,” Physical Review Letters
2012
Cited alongside, same era.
2012
Cited alongside, same era.
M. Müller-Lennert, F. Dupuis, O. Szehr, S. Fehr, and M. Tomamichel, “On quantum Rényi entropies: A new generalization and some properties,” Journal of Mathematical Physics
2013
Cited alongside, same era.
M. Tomamichel and M. Hayashi, “A hierarchy of information quantities for finite block length analysis of quantum tasks,” IEEE Transactions on Information Theory
2013
Cited alongside, same era.
R. L. Frank and E. H. Lieb, “Monotonicity of a relative Rényi entropy,” Journal of Mathematical Physics
2013
Cited alongside, same era.
J. Watrous, “Simpler semidefinite programs for completely bounded norms,” Chicago Journal of Theoretical Computer Science
2013
Cited alongside, same era.
G. Manzano, F. Plastina, and R. Zambrini, “Optimal work extraction and thermodynamics of quantum measurements and correlations,” Physical Review Letters
2018
Later among the works it cites.
E. Chitambar and G. Gour, “Quantum resource theories,” Reviews of Modern Physics
2019
Later among the works it cites.
X. Wang and M. M. Wilde, “Resource theory of asymmetric distinguishability,” Physical Review Research
2019
Later among the works it cites.
X. Wang and M. M. Wilde, “Resource theory of asymmetric distinguishability for quantum channels,” Physical Review Research
2019
Later among the works it cites.
Q. Zhao, Y. Liu, X. Yuan, E. Chitambar, and A. Winter, “One-shot coherence distillation: towards completing the picture,” IEEE Transactions on Information Theory
2019
Later among the works it cites.
S. Khabbazi Oskouei, S. Mancini, and M. M. Wilde, “Union bound for quantum information processing,” Proceedings of the Royal Society A
2019
Later among the works it cites.
A. Anshu, M. Berta, R. Jain, and M. Tomamichel, “A minimax approach to one-shot entropy inequalities,” Journal of Mathematical Physics
2019
Later among the works it cites.
B. Morris, L. Lami, and G. Adesso, “Assisted work distillation,” Physical Review Letters
2019
Later among the works it cites.
A. Anshu, R. Jain, and N. A. Warsi, “Building blocks for communication over noisy quantum networks,” IEEE Transactions on Information Theory
2019
Later among the works it cites.
S. Huber, R. König, and M. Tomamichel, “Jointly constrained semidefinite bilinear programming with an application to Dobrushin curves,” IEEE Transactions on Information Theory
2019
Later among the works it cites.
Y. Zhang, L. K. Shalm, J. C. Bienfang, M. J. Stevens, M. D. Mazurek, S. W. Nam, C. Abellán, W. Amaya, M. W. Mitchell, H. Fu, C. A. Miller, A. Mink, and E. Knill, “Experimental low-latency device-independent quantum randomness,” Physical Review Letters
2020
Later among the works it cites.
A. B. Wagner, N. V. Shende, and Y. Altuğ, “A new method for employing feedback to improve coding performance,” IEEE Transactions on Information Theory
2020
Later among the works it cites.
M. M. Wilde, “Second law of entanglement dynamics for the non-asymptotic regime,” in 2021 IEEE Information Theory Workshop
2021
Later among the works it cites.
L. K. Shalm, Y. Zhang, J. C. Bienfang, C. Schlager, M. J. Stevens, M. D. Mazurek, C. Abellán, W. Amaya, M. W. Mitchell, M. A. Alhejji, H. Fu, J. Ornstein, R. P. Mirin, S. W. Nam, and E. Knill, “Device-independent randomness expansion with entangled photons,” Nature Physics
2021
Later among the works it cites.
R. Rubboli and M. Tomamichel, “Fundamental limits on correlated catalytic state transformations,” Physical Review Letters
2022
Later among the works it cites.
R. Takagi, B. Regula, and M. M. Wilde, “One-shot yield-cost relations in general quantum resource theories,” PRX Quantum
2022
Later among the works it cites.
2022
Later among the works it cites.
N. Ramakrishnan, M. Tomamichel, and M. Berta, “Moderate deviation expansion for fully quantum tasks,” IEEE Transactions on Information Theory
2023
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L. Lami, B. Regula, X. Wang, and M. M. Wilde, “Upper bounds on the distillable randomness of bipartite quantum states,” in Proceedings of the 2023 Information Theory Workshop · 2023
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