Transformations on density operators that leave the Holevo bound invariant

DOI10.1007/S10773-013-1638-8zbMath1302.81048OpenAlexW2006654557MaRDI QIDQ472689

Lajos Molnár, Gergő Nagy

Publication date: 19 November 2014

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: http://real.mtak.hu/5722/1/Holevo.pdf

zbMATH Keywords

unitary operatorsHolevo boundantiunitary operatorstransformations on density operators

Mathematics Subject Classification ID

Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Quantum measurement theory, state operations, state preparations (81P15) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (5)

TRANSFORMATIONS ON DENSITY OPERATORS PRESERVING GENERALISED ENTROPY OF A CONVEX COMBINATION ⋮ Entropy-preserving maps on quantum states ⋮ The metric property of the quantum Jensen-Shannon divergence ⋮ Maps on positive definite matrices preserving Bregman and Jensen divergences ⋮ Maps on Quantum States in -algebras Preserving von Neumann Entropy or Schatten -norm of Convex Combinations

Cites Work

• Unnamed Item
• Selected preserver problems on algebraic structures of linear operators and on function spaces
• Interaction in Quantum Communication
• Maps on quantum states preserving the Jensen–Shannon divergence

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