Energy-constrained diamond norm with applications to the uniform continuity of continuous variable channel capacities

M. Fannes, “A continuity property of the entropy density for spin lattice systems”, Commun. Math. Phys. 31

1973

Earlier work this paper cites.

G. Lindblad, “On the Generators of Quantum Dynamical Semigroups”, Commun. Math. Phys. 48

1976

Earlier work this paper cites.

D. Aharonov, A. Kitaev and N. Nisan, “Quantum circuits with mixed states”, in: Proc. 30th STOC, pp. 20-30, ACM Press, 1998; arXiv:quant-ph/9806029

1998

Earlier work this paper cites.

S. L. Braunstein and H. J. Kimble, “Teleportation of Continuous Quantum Variables”, Phys. Rev. Lett. 80

1998

Earlier work this paper cites.

N. Margolus and L. B. Levitin, “The maximum speed of dynamical evolution”, Physica D: Nonlin. Phenom. 120

1998

Earlier work this paper cites.

A. Winter, “Coding Theorem and Strong Converse for Quantum Channels”, IEEE Trans. Inf. Theory. 45

1999

Earlier work this paper cites.

T. Ogawa and H. Nagaoka, “A New Proof of the Channel Coding Theorem via Hypothesis Testing in Quantum Information Theory”, in: Proc. ISIT 2002, Lausanne, Switzerland, 30 June–5 July 5 2002, p. 73 (2002); arXiv:quant-ph/0208139

2002

Earlier work this paper cites.

V. I. Paulsen, Completely Bounded Maps and Operator Algebras , Cambridge Studies in Advanced Mathematics, Cambridge University Press, Cambridge, 2002

2002

Earlier work this paper cites.

R. Alicki and M. Fannes, “Continuity of quantum conditional information”, J. Phys. A Math. Gen. 37

2004

Cited alongside, same era.

D. Leung and G. Smith, “Continuity of quantum channel capacities”, Commun. Math. Phys. 292

2009

Cited alongside, same era.

W. Matthews, S. Wehner and A. Winter, “Distinguishability of Quantum States Under Restricted Families of Measurements with an Application to Quantum Data Hiding”, Commun. Math. Phys. 291

2009

Cited alongside, same era.

J. Watrous, “Semidefinite Programs for Completely Bounded Norms”, Theory of Computing 5

2009

Cited alongside, same era.

M. Navascués and S. Popescu, “How Energy Conservation Limits Our Measurements”, Phys. Rev. Lett. 112

2014

Cited alongside, same era.

S. Pirandola and C. Lupo, “Ultimate precision of adaptive noise estimation”, Phys. Rev. Lett. 118

2017

Closest in time.

K. Sharma. M. M. Wilde, S. Adhikari and M. Takeoka, “Bounding the energy-constrained quantum and private capacities of bosonic thermal channels”, arXiv[quant-ph]:1708.07257 (2017)

2017

Closest in time.

M. E. Shirokov, “Energy-constrained diamond norms and their use in quantum information theory”, arXiv[quant-ph]:1706.00361v2 (Dec 2017)

2017

Closest in time.

M. E. Shirokov, “Continuity bounds for information characteristics of quantum channels depending on input dimension and on input energy”, arXiv[quant-ph]:1610.08870v3 (Dec 2017)

2017

Closest in time.

I. Siemon, A. S. Holevo and R. F. Werner, “Unbounded generators of dynamical semigroups”, arXiv[quant-ph]:1707.02266 (2017)

2017

Closest in time.