Generalized multiplicative domains and quantum error correction

DOI10.1090/S0002-9939-2010-10556-7zbMath1218.46033arXiv1004.5112MaRDI QIDQ3082330

Nathaniel Johnston, David W. Kribs

Publication date: 10 March 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.5112

zbMATH Keywords

completely positive mapgeneralized multiplicative domainsunital quantum channels

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) Applications of functional analysis in quantum physics (46N50) Linear spaces of operators (47L05) Quantum algorithms and complexity in the theory of computing (68Q12)

Related Items

Spectral properties of tensor products of channels, Multiplicative properties of quantum channels, Quantum privacy and Schur product channels, Private algebras in quantum information and infinite-dimensional complementarity, On period, cycles and fixed points of a quantum channel, Nullspaces of entanglement breaking channels and applications

Cites Work

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• A Schwarz inequality for positive linear maps on C\(^*\)-algebras
• Completely positive linear maps on complex matrices
• Holonomic quantum computation
• Noiseless subsystems for collective rotation channels in quantum information theory
• Noiseless subsystems and the structure of the commutant in quantum error correction
• Quantum computers and dissipation
• ALGEBRAIC FORMULATION OF QUANTUM ERROR CORRECTION
• The multiplicative domain in quantum error correction
• Error Correcting Codes in Quantum Theory
• Theory of Quantum Error Correction for General Noise
• Entanglement of quantum evolutions
• Mixed-state entanglement and quantum error correction
• On subsystem codes beating the quantum Hamming or Singleton bound
• \(C^*\)-algebras by example