A Szegő type theorem and distribution of symplectic eigenvalues
DOI10.4171/JST/377zbMath1486.81042arXiv2006.11829OpenAlexW3201806984MaRDI QIDQ2078217
Tanvi Jain, Ritabrata Sengupta, Rajendra Bhatia
Publication date: 28 February 2022
Published in: Journal of Spectral Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.11829
Szegő limit theorementropy rateGaussian statesymplectic eigenvaluestationary Gaussian chainsymplectic numerical range
Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Quantum stochastic calculus (81S25) Measures of information, entropy (94A17) Information theory (general) (94A15) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Symplectic dilations, Gaussian states and Gaussian channels
- Quantum systems, channels, information. A mathematical introduction.
- Gaussian quantum marginal problem
- Asymptotic behavior of block Toeplitz matrices and determinants. II
- Introduction to large truncated Toeplitz matrices
- The conditional entropy power inequality for bosonic quantum systems
- Asymptotic behavior of block Toeplitz matrices and determinants
- A unifying approach to some old and new theorems on distribution and clustering
- Sums and products of symplectic eigenvalues
- Eigenvalue distributions of large Hermitian matrices; Wigner's semi- circle law and a theorem of Kac, Murdock, and Szegö
- Symplectic geometry and quantum mechanics
- Entropy and Information Theory
- Exchangeable, stationary, and entangled chains of Gaussian states
- On symplectic eigenvalues of positive definite matrices
- On the asymptotic spectrum of Hermitian block Toeplitz matrices with Toeplitz blocks
- Asymptotic Spectra of Hermitian Block Toeplitz Matrices and Preconditioning Results
- Derivatives of symplectic eigenvalues and a Lidskii type theorem
- Real normal operators and Williamson’s normal form
- Quantum Continuous Variables
- Elements of Information Theory
- An extension of the theorem of Kac, Murdock and Szegö to N dimensions (Corresp.)
- Singular values and eigenvalues of non-Hermitian block Toeplitz matrices
This page was built for publication: A Szegő type theorem and distribution of symplectic eigenvalues