Joint higher rank numerical range of Pauli group

DOI10.1080/03081087.2013.872638zbMath1306.81020OpenAlexW2084940030MaRDI QIDQ2938350

Sayyed Ahmad Mousavi, Abbas Salemi

Publication date: 14 January 2015

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

Full work available at URL: https://doi.org/10.1080/03081087.2013.872638

zbMATH Keywords

tensor productquantum error correctionPauli groupjoint higher rank numerical range

Mathematics Subject Classification ID

Spinor and twistor methods applied to problems in quantum theory (81R25) Other types of codes (94B60) Clifford algebras, spinors (15A66) Multilinear algebra, tensor calculus (15A69) Channel models (including quantum) in information and communication theory (94A40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum coding (general) (81P70)

Related Items (2)

Pauli group: classification and joint higher rank numerical range ⋮ Quantum error correction for a subgroup of the Pauli group using higher rank numerical range

Cites Work

• Efficient quantum error correction for fully correlated noise
• Joint numerical range and its generating hypersurface
• Completely positive linear maps on complex matrices
• Higher Rank Numerical Ranges of Normal Matrices
• Canonical forms, higher rank numerical ranges, totally isotropic subspaces, and matrix equations
• Condition for the higher rank numerical range to be non-empty
• On the generalized numerical range
• Research problems on numerical ranges in quantum computing
• Higher-rank numerical ranges of unitary and normal matrices
• Geometry of higher-rank numerical ranges
• The higher rank numerical range is convex

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