Almost all quantum channels are equidistant
From MaRDI portal
Publication:4565439
DOI10.1063/1.5019322zbMath1390.81054arXiv1612.00401OpenAlexW2557320768WikidataQ62582405 ScholiaQ62582405MaRDI QIDQ4565439
Łukasz Pawela, Ion Nechita, Zbigniew Puchała, Karol Życzkowski
Publication date: 12 June 2018
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.00401
Random matrices (probabilistic aspects) (60B20) Operator spaces and completely bounded maps (46L07) Quantum measurement theory, state operations, state preparations (81P15)
Related Items (3)
Amortized channel divergence for asymptotic quantum channel discrimination ⋮ Generating random quantum channels ⋮ Characterising port-based teleportation as universal simulator of qubit channels
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Extreme gaps between eigenvalues of random matrices
- Quantum detection and estimation theory
- Random quantum operations
- Segal-Bargmann transform, functional calculus on matrix spaces and the theory of semi-circular and circular systems
- Limit of the smallest eigenvalue of a large dimensional sample covariance matrix
- Integration with respect to the Haar measure on unitary, orthogonal and symplectic group
- Random quantum channels. I: Graphical calculus and the Bell state phenomenon
- Spectral analysis of large dimensional random matrices
- Bounds for eigenvalues using traces
- Completely positive linear maps on complex matrices
- Matrix factorizations and their perturbations
- Combinatorial properties of Brownian motion on the compact classical groups
- Computing the norms of elementary operators
- The norm of polynomials in large random and deterministic matrices
- Commutators of free random variables
- Linear transformations which preserve trace and positive semidefiniteness of operators
- Random matrix techniques in quantum information theory
- Convergence of Wigner integrals to the tetilla law
- THE ABSOLUTE POSITIVE PARTIAL TRANSPOSE PROPERTY FOR RANDOM INDUCED STATES
- Conditions for optimal input states for discrimination of quantum channels
- Improving Compressed Sensing With the Diamond Norm
- Lectures on the Combinatorics of Free Probability
- Distribution of bipartite entanglement for random pure states
- Geometry of sets of quantum maps: A generic positive map acting on a high-dimensional system is not completely positive
- Lipschitz Continuity of Functions of Operators in the Schatten Classes
- Asymptotic behavior of group integrals in the limit of infinite rank
- Quantum computations: algorithms and error correction
- Comments on “Improving Compressed Sensing With the Diamond Norm”–Saturation of the Norm Inequalities Between Diamond and Nuclear Norm
- The Theory of Quantum Information
- Statistical properties of random density matrices
- Cryptographic distinguishability measures for quantum-mechanical states
- Alice and Bob Meet Banach
- Simpler semidefinite programs for completely bounded norms
- Positive Functions on C ∗ -Algebras
This page was built for publication: Almost all quantum channels are equidistant