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The Quantum Reverse Shannon Theorem has been a milestone in quantum information theory.
C. E. Shannon, “The zero error capacity of a noisy channel,” IRE Trans. Inform. Theory , vol. 2, no. 3, pp. 8–19, 1956
1956
Earlier work this paper cites.
M. Sion, “On general minimax theorems,” Pac. J. Math. , vol. 8, no. 1, pp. 171–176, 1958
1958
Earlier work this paper cites.
R. Gallager, Information Theory and Reliable Communication . John Wiley & Sons, 1968
1968
Earlier work this paper cites.
L. Lovász, “On the Shannon capacity of a graph,” IEEE Trans. Inf. Theory , vol. 25, no. 1, pp. 1–7, 1979
1979
Earlier work this paper cites.
C. H. Bennett and S. J. Wiesner, “Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states,” Phys. Rev. Lett. , vol. 69, pp. 2881–2884, 1992
1992
Earlier work this paper cites.
C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, “Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels,” Phys. Rev. Lett. , vol. 70, pp. 1895–1899, 1993
1993
Earlier work this paper cites.
M. Burnashev and A. S. Holevo, “On the reliability function for a quantum communication channel,” Probl. Inf. Transm. , vol. 34, no. 2, pp. 97–107, 1998
1998
Earlier work this paper cites.
C. H. Bennett, P. W. Shor, J. A. Smolin, and A. V. Thapliyal, “Entanglement-assisted classical capacity of noisy quantum channels,” Phys. Rev. Lett. , vol. 83, pp. 3081–3084, 1999
1999
Earlier work this paper cites.
A. Winter, “Coding theorems of quantum information theory,” PhD thesis, Universität Bielefeld , 1999
1999
Earlier work this paper cites.
A. S. Holevo, “Reliability function of general classical-quantum channel,” IEEE Trans. Inf. Theory , vol. 46, no. 6, pp. 2256–2261, 2000
2000
Earlier work this paper cites.
C. H. Bennett, P. W. Shor, J. A. Smolin, and A. V. Thapliyal, “Entanglement-assisted capacity of a quantum channel and the reverse Shannon theorem,” IEEE Trans. Inf. Theory , vol. 48, no. 10, pp. 2637–2655, 2002
2002
Earlier work this paper cites.
I. Devetak, “Triangle of dualities between quantum communication protocols,” Phys. Rev. Lett. , vol. 97, p. 140503, 2006
2006
Earlier work this paper cites.
M. Hayashi, “Error exponent in asymmetric quantum hypothesis testing and its application to classical-quantum channel coding,” Phys. Rev. A , vol. 76, p. 062301, 2007
2007
Earlier work this paper cites.
M. Christandl, R. König, and R. Renner, “Postselection technique for quantum channels with applications to quantum cryptography,” Phys. Rev. Lett. , vol. 102, p. 020504, 2009
2009
Earlier work this paper cites.
A. Abeyesinghe, I. Devetak, P. Hayden, and A. Winter, “The mother of all protocols: restructuring quantum information’s family tree,” Proc. R. Soc. A , vol. 465, pp. 2537–2563, 2009
2009
Earlier work this paper cites.
M. Hayashi, “Universal approximation of multi-copy states and universal quantum lossless data compression,” Commun. Math. Phys. , vol. 293, pp. 171–183, 2010
2010
Earlier work this paper cites.
M. Berta, M. Christandl, and R. Renner, “The quantum reverse Shannon theorem based on one-shot information theory,” Commun. Math. Phys. , vol. 306, no. 3, pp. 579–615, 2011
2011
Earlier work this paper cites.
T. S. Cubitt, D. Leung, W. Matthews, and A. Winter, “Zero-error channel capacity and simulation assisted by non-local correlations,” IEEE Trans. Inf. Theory , vol. 57, no. 8, pp. 5509–5523, 2011
2011
Earlier work this paper cites.
N. Datta, M.-H. Hsieh, and M. M. Wilde, “Quantum rate distortion, reverse Shannon theorems, and source-channel separation,” IEEE Trans. Inf. Theory , vol. 59, no. 1, pp. 615–630, 2012
2012
Earlier work this paper cites.
M. Berta, F. G. Brandao, M. Christandl, and S. Wehner, “Entanglement cost of quantum channels,” IEEE Trans. Inf. Theory , vol. 59, no. 10, pp. 6779–6795, 2013
2013
Earlier work this paper cites.
M. M. Wilde, N. Datta, M.-H. Hsieh, and A. Winter, “Quantum rate-distortion coding with auxiliary resources,” IEEE Trans. Inf. Theory , vol. 59, no. 10, pp. 6755–6773, 2013
2013
Cited alongside, same era.
M. Dalai, “Lower bounds on the probability of error for classical and classical-quantum channels,” IEEE Trans. Inf. Theory , vol. 59, no. 12, pp. 8027–8056, 2013
2013
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,” J. Math. Phys. , vol. 54, p. 122203, 2013
2013
Cited alongside, same era.
S. Beigi, “Sandwiched Rényi divergence satisfies data processing inequality,” J. Math. Phys. , vol. 54, p. 122202, 2013
2013
Cited alongside, same era.
R. L. Frank and E. H. Lieb, “Monotonicity of a relative Rényi entropy,” J. Math. Phys. , vol. 54, p. 122201, 2013
E. Chitambar and G. Gour, “Quantum resource theories,” Rev. Mod. Phys. , vol. 91, p. 025001, 2019
2019
Later among the works it cites.
M. M. Mojahedian, S. Beigi, A. Gohari, M. H. Yassaee, and M. R. Aref, “A correlation measure based on vector-valued L p L_{p} -norms,” IEEE Trans. Inf. Theory , vol. 65, no. 12, pp. 7985–8004, 2019
2019
Later among the works it cites.
H.-C. Cheng, M.-H. Hsieh, and M. Tomamichel, “Quantum sphere-packing bounds with polynomial prefactors,” IEEE Trans. Inf. Theory , vol. 65, no. 5, pp. 2872–2898, 2019
2019
Later among the works it cites.
K. Fang, X. Wang, M. Tomamichel, and M. Berta, “Quantum channel simulation and the channel’s smooth max-information,” IEEE Trans. Inf. Theory , vol. 66, no. 4, pp. 2129–2140, 2020
2020
Later among the works it cites.
R. Takagi, K. Wang, and M. Hayashi, “Application of the resource theory of channels to communication scenarios,” Phys. Rev. Lett. , vol. 124, p. 120502, 2020
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2013
Cited alongside, same era.
C. H. Bennett, I. Devetak, A. W. Harrow, P. W. Shor, and A. Winter, “The quantum reverse Shannon theorem and resource tradeoffs for simulating quantum channels,” IEEE Trans. Inf. Theory , vol. 60, no. 5, pp. 2926–2959, 2014
2014
Cited alongside, same era.
M. M. Wilde, A. Winter, and D. Yang, “Strong converse for the classical capacity of entanglement-breaking and Hadamard channels via a sandwiched Rényi relative entropy,” Commun. Math. Phys. , vol. 331, no. 2, pp. 593–622, 2014
2014
Cited alongside, same era.
R. Duan and A. Winter, “No-signalling-assisted zero-error capacity of quantum channels and an information theoretic interpretation of the Lovász number,” IEEE Trans. Inf. Theory , vol. 62, no. 2, pp. 891–914, 2015
2015
Cited alongside, same era.
M. Hayashi, “Precise evaluation of leaked information with secure randomness extraction in the presence of quantum attacker,” Commun. Math. Phys. , vol. 333, no. 1, pp. 335–350, 2015
2015
Cited alongside, same era.
M. K. Gupta and M. M. Wilde, “Multiplicativity of completely bounded p p -norms implies a strong converse for entanglement-assisted capacity,” Commun. Math. Phys. , vol. 334, no. 2, pp. 867–887, 2015
2015
Cited alongside, same era.
M.-H. Hsieh and S. Watanabe, “Channel simulation and coded source compression,” IEEE Trans. Inf. Theory , vol. 62, no. 11, pp. 6609–6619, 2016
2016
Cited alongside, same era.
T. Cooney, M. Mosonyi, and M. M. Wilde, “Strong converse exponents for a quantum channel discrimination problem and quantum-feedback-assisted communication,” Commun. Math. Phys. , vol. 344, no. 3, pp. 797–829, 2016
2016
Cited alongside, same era.
2020
Later among the works it cites.
G. Gour and C. M. Scandolo, “Dynamical entanglement,” Phys. Rev. Lett. , vol. 125, p. 180505, 2020
2020
Later among the works it cites.
P. Faist, M. Berta, and F. G. Brandao, “Thermodynamic implementations of quantum processes,” Commun. Math. Phys. , vol. 384, no. 3, pp. 1709–1750, 2021
2021
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B. Regula and R. Takagi, “One-shot manipulation of dynamical quantum resources,” Phys. Rev. Lett. , vol. 127, p. 060402, 2021
2021
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H.-C. Cheng, E. P. Hanson, N. Datta, and M.-H. Hsieh, “Non-asymptotic classical data compression with quantum side information,” IEEE Trans. Inf. Theory , vol. 67, no. 2, pp. 902–930, 2021
2021
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K. Li and Y. Yao, “Reliable simulation of quantum channels,” arXiv:2112.04475v1 , 2021
2021
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2022
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F. Dupuis, “Privacy amplification and decoupling without smoothing,” IEEE Trans. Inf. Theory , vol. 69, no. 12, pp. 7784–7792, 2023
2023
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K. Li, Y. Yao, and M. Hayashi, “Tight exponential analysis for smoothing the max-relative entropy and for quantum privacy amplification,” IEEE Trans. Inf. Theory , vol. 69, no. 3, pp. 1680–1694, 2023
2023
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N. Ramakrishnan, M. Tomamichel, and M. Berta, “Moderate deviation expansion for fully quantum tasks,” IEEE Trans. Inf. Theory , vol. 69, no. 8, pp. 5041–5059, 2023
2023
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2023
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2023
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K. Li and Y. Yao, “Reliability function of quantum information decoupling via the sandwiched Rényi divergence,” Commun. Math. Phys. , vol. 405, no. 7, p. 160, 2024
2024
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H.-C. Cheng and L. Gao, “Error exponent and strong converse for quantum soft covering,” IEEE Trans. Inf. Theory , vol. 70, no. 5, pp. 3499–3511, 2024
2024
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K. Li and Y. Yao, “Strong converse exponent for entanglement-assisted communication,” IEEE Trans. Inf. Theory , vol. 70, no. 7, pp. 5017–5029, 2024
2024
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