The multi-mode quantum Entropy Power Inequality

C. E. Shannon, A Mathematical Theory of Communication, Bell Syst. Tech. J. 27

1948

Earlier work this paper cites.

A. Stam, Some inequalities satisfied by the quantities of information of Fisher and Shannon. Inform. Control 2

1959

Earlier work this paper cites.

N. Blachman, The convolution inequality for entropy powers. IEEE Trans. Inf. Theory 11

1965

Earlier work this paper cites.

P. Bergmans, A simple converse for broadcast channels with additive white Gaussian noise (corresp.). IEEE Trans. Inf. Theory 20, 279 (1974)

1974

Earlier work this paper cites.

A. R. Barron, Entropy and the Central Limit Theorem. The Annals of Probability 14, 336 (1986)

1986

Earlier work this paper cites.

A. Dembo, T. Cover and J. Thomas, Information theoretic inequalities. IEEE Trans. Inf. Theory 37

1991

Earlier work this paper cites.

D. F. Walls and G. J. Milburn, Quantum Optics (Springer, Berlin 1994)

1994

Earlier work this paper cites.

C. M. Caves and P. B. Drummond, Quantum limits on bosonic communication rates, Rev. Mod. Phys. 66, 481 (1994)

1994

Earlier work this paper cites.

C. H. Bennett and P. W. Shor, Quantum Information Theory. IEEE Transf. Inf. Theory 44

1998

Earlier work this paper cites.

G. H. Hardy, J. E. Littlewood and G. Pòlya, Inequalities (Cambridge University Press, Cambridge 1999)

1999

Earlier work this paper cites.

A. S. Holevo and R. F. Werner, Evaluating capacities of bosonic Gaussian channels, Phys. Rev. A 63

2001

Cited alongside, same era.

V. Giovannetti, S. Guha, S. Lloyd, L. Maccone and J. H. Shapiro, Minimum output entropy of bosonic channels: a conjecture, Phys. Rev. A 70

2004

Cited alongside, same era.

T. M. Cover and J. A. Thomas, Elements of information theory, Second edition, John Wiley & Sons (2006)

2006

Cited alongside, same era.

S. Verdù and D. Guo, A simple proof of the entropy-power inequality. IEEE Trans. Inf. Theory 52, 2165-2166 (2006)

2006

Cited alongside, same era.

D. Guo, S. Shamai and S. Verdù, Proof of Entropy Power Inequalities Via MMSE. IEEE Trans. Inf. Theory, 2006 International Symposium on Information Theory, 1011-1015 (2006)

2006

Cited alongside, same era.

O. Rioul, Information theoretic proofs of entropy power inequalities. IEEE Trans. Inf. Theory 57, 33-55 (2011)

2011

Later among the works it cites.

C. Weedbrook, S. Pirandola, R. Garcìa-Patròn, N. J. Cerf, T. C. Ralph, J. H. Shapiro and S. Lloyd, Gaussian quantum information. Rev. Mod. Phys. 84, 621-669 (2012)

2012

Later among the works it cites.

A. S. Holevo, Quantum systems, channels, information. A mathematical introduction, (De Gruyter, Berlin-Boston, 2012)

2012

Later among the works it cites.

R. König and G. Smith, Limits on classical communication from quantum entropy power inequalities. Nature Photonics 7, 142 (2013)

2013

Later among the works it cites.

V. Giovannetti, A. S. Holevo and R. Garcìa-Patròn, A Solution of Gaussian Optimizer Conjecture for Quantum Channels, Commun. Math. Phys., August 2014

2014

Closest in time.