Universal collective rotation channels and quantum error correction

DOI10.1063/1.1824213zbMath1076.81008arXivmath/0405032OpenAlexW3103946682MaRDI QIDQ3024200

Peter T. Kim, David W. Kribs, Marius Junge

Publication date: 30 June 2005

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

Full work available at URL: https://arxiv.org/abs/math/0405032

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Quantum computation (81P68) Applications of selfadjoint operator algebras to physics (46L60) Other types of codes (94B60) Applications of functional analysis in quantum physics (46N50) Channel models (including quantum) in information and communication theory (94A40)

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Cites Work

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• Completely positive linear maps on complex matrices
• Noiseless subsystems and the structure of the commutant in quantum error correction
• Constructing qubits in physical systems
• Reliable quantum computers
• QUANTUM CHANNELS, WAVELETS, DILATIONS AND REPRESENTATIONS OF $\mathcal{O}_{n}$
• Theory of Quantum Error Correction for General Noise

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