Higher rank matricial ranges and hybrid quantum error correction
DOI10.1080/03081087.2020.1748852OpenAlexW3014422752MaRDI QIDQ5858696
Chi-Kwong Li, Mike Nelson, David W. Kribs, Yiu-Tung Poon, Ning-Ping Cao, Bei Zeng
Publication date: 14 April 2021
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.12744
numerical rangeoperator algebraquantum error correctionquantum channelhybrid codesmatricial rangejoint higher rank matricial ranges
Quantum computation (81P68) Applications of operator algebras to the sciences (47L90) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Channel models (including quantum) in information and communication theory (94A40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum coding (general) (81P70)
Related Items (1)
Cites Work
- Unnamed Item
- Efficient quantum error correction for fully correlated noise
- Higher-rank numerical ranges and compression problems
- Higher rank numerical ranges and low rank perturbations of quantum channels
- Completely positive linear maps on complex matrices
- Convexity and star-shapedness of matricial range
- The capacity of a quantum channel for simultaneous transmission of classical and quantum information
- The Ryu-Takayanagi formula from quantum error correction
- Bulk locality and quantum error correction in AdS/CFT
- Holographic quantum error-correcting codes: toy models for the bulk/boundary correspondence
- Quantum error correcting codes from the compression formalism
- An algebraic framework for information theory: classical information
- Higher Rank Numerical Ranges of Normal Matrices
- Quantum Computation and Quantum Information
- Quantum error correction on infinite-dimensional Hilbert spaces
- Quantum error correction and generalized numerical ranges
- Imbedding Conditions for Hermitian and 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
- Error Correcting Codes in Quantum Theory
- Theory of Quantum Error Correction for General Noise
- The capacity of hybrid quantum memory
- Entanglement-Assisted Communication of Classical and Quantum Information
- Research problems on numerical ranges in quantum computing
- A Generalization of Radon's Theorem
- Mixed-state entanglement and quantum error correction
- Geometry of higher-rank numerical ranges
- The higher rank numerical range is convex
- \(C^*\)-algebras by example
This page was built for publication: Higher rank matricial ranges and hybrid quantum error correction
