An application of decomposable maps in proving multiplicativity of low dimensional maps

DOI10.1063/1.3277186zbMath1309.81046arXiv0906.3355OpenAlexW3103378334MaRDI QIDQ5246528

Motohisa Fukuda

Publication date: 21 April 2015

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

Full work available at URL: https://arxiv.org/abs/0906.3355

Mathematics Subject Classification ID

Channel models (including quantum) in information and communication theory (94A40) Quantum coherence, entanglement, quantum correlations (81P40) Coding theorems (Shannon theory) (94A24) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Cites Work

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• Equivalence of additivity questions in quantum information theory
• Positive maps of low dimensional matrix algebras
• Multiplicativity properties of entrywise positive maps
• Counterexamples to the maximal \(p\)-norm multiplicativity conjecture for all \(p>1\)
• Positive linear maps of operator algebras
• Conditions for multiplicativity of maximal ℓp-norms of channels for fixed integer p
• New multiplicativity results for qubit maps
• Minimal entropy of states emerging from noisy quantum channels
• ADDITIVITY CONJECTURE AND COVARIANT CHANNELS
• The capacity of the quantum depolarizing channel
• Counterexample to an additivity conjecture for output purity of quantum channels
• Additivity for unital qubit channels
• Extending additivity from symmetric to asymmetric channels
• On the additivity conjecture in quantum information theory

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