Quantum error correction for a subgroup of the Pauli group using higher rank numerical range

DOI10.1080/03081087.2015.1039954zbMath1344.15010OpenAlexW2244054763MaRDI QIDQ2789400

Sayyed Ahmad Mousavi, Abbas Salemi

Publication date: 29 February 2016

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2015.1039954

zbMATH Keywords

quantum computationquantum error correctionPauli grouphigher rank numerical rangerecovery operator

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Multilinear algebra, tensor calculus (15A69) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

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Cites Work

• Efficient quantum error correction for fully correlated noise
• Operator algebraic formulation of the stabilizer formalism for quantum error correction
• Joint higher rank numerical range of Pauli group
• Research problems on numerical ranges in quantum computing