Pauli group: classification and joint higher rank numerical range

DOI10.1016/j.laa.2018.03.008zbMath1390.81091OpenAlexW2792462289WikidataQ130185875 ScholiaQ130185875MaRDI QIDQ1747113

Mohammad Ali Mehrjoofard, Akbar Zare Chavoshi, Hamid Reza Afshin

Publication date: 3 May 2018

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

Full work available at URL: https://doi.org/10.1016/j.laa.2018.03.008

zbMATH Keywords

Hermitian matricesquantum error correctionjoint numerical rangePauli groupPauli channelsjoint higher rank numerical range

Mathematics Subject Classification ID

Quantum computation (81P68) Applications of operator theory in the physical sciences (47N50) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Cites Work

• Unnamed Item
• Completely bounded norms of right module maps
• Efficient quantum error correction for fully correlated noise
• Higher-rank numerical ranges and compression problems
• A remark on the convexity and positive definiteness concerning Hermitian matrices
• Convexity of the joint numerical range: Topological and differential geometric viewpoints.
• Joint numerical ranges, quantum maps, and joint numerical shadows
• Quantum error correcting codes from the compression formalism
• Joint higher rank numerical range of Pauli group
• Higher Rank Numerical Ranges of Normal Matrices
• Quantum error correction and generalized numerical ranges
• Canonical forms, higher rank numerical ranges, totally isotropic subspaces, and matrix equations
• Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
• Local distinguishability of quantum states in infinite-dimensional systems
• Research problems on numerical ranges in quantum computing
• Higher-rank numerical ranges of unitary and normal matrices