Summing free unitary Brownian motions with applications to quantum information
DOI10.1007/s11005-023-01702-xzbMath1530.81019arXiv2210.00208MaRDI QIDQ6113141
Publication date: 8 August 2023
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.00208
partial differential equationfree Jacobi processBell statesreduced density matrixunitary Brownian motion
Brownian motion (60J65) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Canonical forms, reductions, classification (15A21) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum state spaces, operational and probabilistic concepts (81P16) Orthogonal and unitary groups in metric geometry (51F25) Entanglement measures, concurrencies, separability criteria (81P42)
Cites Work
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- Star-cumulants of free unitary Brownian motion
- Free probability and random matrices
- The spectral edge of unitary Brownian motion
- Random pure quantum states via unitary Brownian motion
- Distributions of truncations of the heat kernel on the complex projective space
- Stochastic calculus with respect to free Brownian motion and analysis on Wigner space
- Brown's spectral distribution measure for \(R\)-diagonal elements in finite von Neumann algebras
- Spectral distribution of the free Jacobi process, revisited
- Eigenvalues of non-Hermitian random matrices and Brown measure of non-normal operators: Hermitian reduction and linearization method
- Support of the Brown measure of the product of a free unitary Brownian motion by a free self-adjoint projection
- Relating moments of self-adjoint polynomials in two orthogonal projections
- Free Jacobi process
- Schur-Weyl duality and the heat kernel measure on the unitary group
- Random matrix techniques in quantum information theory
- Remarks on free mutual information and orbital free entropy
- Spectral distribution of the free Jacobi process
- Lectures on the Combinatorics of Free Probability
- Fifty years of Shannon theory
- On the multiplication of free N -tuples of noncommutative random variables
- Generating random quantum channels
- Generating random density matrices