On the mixed-unitary rank of quantum channels
DOI10.1007/s00220-022-04412-yzbMath1501.81006arXiv2003.14405OpenAlexW3014871285MaRDI QIDQ2165051
Mark Girard, Jeremy Levick, John Watrous, Chi-Kwong Li, Vern I. Paulsen, Yiu-Tung Poon, Debbie W. Leung
Publication date: 18 August 2022
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.14405
Operator spaces and completely bounded maps (46L07) Channel models (including quantum) in information and communication theory (94A40) Vector spaces, linear dependence, rank, lineability (15A03) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum channels, fidelity (81P47)
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- Monotonicity of the quantum relative entropy under positive maps
- Factorization and dilation problems for completely positive maps on von Neumann algebras
- On the minimum number of unitaries needed to describe a random-unitary channel
- Cyclic one-factorization of the complete graph
- Completely positive linear maps on complex matrices
- On Birkhoff's theorem for doubly stochastic completely positive maps of matrix algebras
- Randomizing quantum states: constructions and applications
- Unital quantum channels - convex structure and revivals of Birkhoff's theorem
- Zero-Error Communication via Quantum Channels, Noncommutative Graphs, and a Quantum Lovász Number
- Classical deterministic complexity of Edmonds' Problem and quantum entanglement
- ON MUTUALLY UNBIASED BASES
- A Note on Extreme Correlation Matrices
- Quantum data hiding
- The Theory of Quantum Information
- Quantum lost and found
- Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques
- Mixed-state entanglement and quantum error correction
- Additivity and distinguishability of random unitary channels
- Quantum Information Theory
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