Quantum channels and representation theory

DOI10.1063/1.1945768zbMath1110.81056arXivquant-ph/0502153OpenAlexW3099869544MaRDI QIDQ3438542

William Gordon Ritter

Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0502153

Mathematics Subject Classification ID

Quantum computation (81P68) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (5)

Temperley-Lieb quantum channels ⋮ Enhanced quantum channel uncertainty relations by skew information ⋮ Quantifying quantumness and the quest for Queens of Quantum ⋮ Quantum reference frames and the classification of rotationally invariant maps ⋮ Diffusive Spin Transport

Cites Work

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• General state changes in quantum theory
• The Bloch vector for \(N\)-level systems
• On characteristic equations, trace identities and Casimir operators of simple Lie algebras
• Conditions for multiplicativity of maximal ℓp-norms of channels for fixed integer p
• Quartic trace identity for exceptional Lie algebras
• The octonions
• Note on Multiple Additivity of Minimal Renyi Entropy Output of the Werner-Holevo Channels
• The capacity of the quantum depolarizing channel
• THE SPHERE S⁶VIEWED AS A G₂/SU(3) COSET SPACE
• Counterexample to an additivity conjecture for output purity of quantum channels
• Inequalities for quantum entropy: A review with conditions for equality

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