On Shor's channel extension and constrained channels

DOI10.1007/s00220-004-1116-5zbMath1080.81005arXivquant-ph/0306196OpenAlexW3099233839MaRDI QIDQ1885621

M. E. Shirokov, Alexandr S. Holevo

Publication date: 11 November 2004

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0306196

zbMATH Keywords

quantum cryptographyadditivity conjecture for quantum channels

Mathematics Subject Classification ID

Quantum computation (81P68) Channel models (including quantum) in information and communication theory (94A40)

Related Items

On Shor's channel extension and constrained channels ⋮ The Holevo capacity of infinite dimensional channels and the additivity problem ⋮ Conditions for coincidence of the classical capacity and entanglement-assisted capacity of a quantum channel ⋮ Remark on the additivity conjecture for a quantum depolarizing channel ⋮ On the structure of optimal sets for a quantum channel ⋮ On approximation of infinite-dimensional quantum channels ⋮ A solution of Gaussian optimizer conjecture for quantum channels ⋮ On estimating the output entropy of the tensor product of a phase-damping channel and an arbitrary channel ⋮ Entanglement-breaking channels in infinite dimensions ⋮ Algebraic methods of the study of quantum information transfer channels ⋮ Estimating the output entropy of a tensor product of two quantum channels

Cites Work

• Remarks on additivity of the Holevo channel capacity and of the entanglement of formation
• On strong superadditivity of the entanglement of formation
• Equivalence of additivity questions in quantum information theory
• On Shor's channel extension and constrained channels
• On entanglement-assisted classical capacity
• Additivity of the classical capacity of entanglement-breaking quantum channels
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