ADDITIVITY CONJECTURE AND COVARIANT CHANNELS

DOI10.1142/S0219749905000530zbMath1133.81320WikidataQ122978696 ScholiaQ122978696MaRDI QIDQ4663285

Alexandr S. Holevo

Publication date: 30 March 2005

Published in: International Journal of Quantum Information (Search for Journal in Brave)

zbMATH Keywords

additivity conjecturecovariant channelQuantum channel

Mathematics Subject Classification ID

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

Related Items

Highly symmetric POVMs and their informational power, On Weyl channels being covariant with respect to the maximum commutative group of unitaries, ADDITIVITY FOR TRANSPOSE DEPOLARIZING CHANNELS, A relation between completely bounded norms and conjugate channels, Information capacity of a quantum observable, On the structure of optimal sets for a quantum channel, On quantum channels and operations preserving finiteness of the von Neumann entropy, Quantum channels irreducibly covariant with respect to the finite group generated by the Weyl operators, On the constrained classical capacity of infinite-dimensional covariant quantum channels, Wehrl-type coherent state entropy inequalities for \(\mathrm{SU}(1,1)\) and its \(AX+B\) subgroup, Compatibility of covariant quantum channels with emphasis on Weyl symmetry, An application of decomposable maps in proving multiplicativity of low dimensional maps, Entanglement of random subspaces via the Hastings bound, Classical capacity of generalized Pauli channels, The extreme points of SU(2)-irreducibly covariant channels, Additivity rates and PPT property for random quantum channels

Cites Work

• Equivalence of additivity questions in quantum information theory
• Dynamical group quantization
• A note on covariant dynamical semigroups
• Counterexample to an additivity conjecture for output purity of quantum channels
• Covariant quantum Markovian evolutions