Structure of a general quantum Gaussian observable

DOI10.1134/S0081543821020085zbMath1468.81044arXiv2007.02340OpenAlexW3185849146MaRDI QIDQ2041543

Alexandr S. Holevo

Publication date: 23 July 2021

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.02340

Mathematics Subject Classification ID

Characterization and structure theory for multivariate probability distributions; copulas (62H05) Quantum optics (81V80) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Vector-valued measures and integration (46G10) Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds (46T12) Bosonic systems in quantum theory (81V73) Quantum channels, fidelity (81P47)

Related Items (2)

On Characterization of Quantum Gaussian Measurement Channels ⋮ Quantum Gaussian maximizers and log-Sobolev inequalities

Cites Work

• Information capacity of a quantum observable
• Entanglement-breaking channels in infinite dimensions
• A solution of Gaussian optimizer conjecture for quantum channels
• Quantum systems, channels, information. A mathematical introduction
• Majorization and additivity for multimode bosonic Gaussian channels
• Maximum information gain of approximate quantum position measurement
• Quantum information and correlation bounds
• Information Exclusion Principle for Complementary Observables
• Information capacity of continuous variable measurement channel
• Gaussian Maximizers for Quantum Gaussian Observables and Ensembles
• The Choi–Jamiolkowski forms of quantum Gaussian channels
• The Exponential Representation of Canonical Matrices
• The information capacity of entanglement-assisted continuous variable quantum measurement
• Unnamed Item

This page was built for publication: Structure of a general quantum Gaussian observable