STATE-EXTENDED UNCERTAINTY RELATIONS AND TOMOGRAPHIC INEQUALITIES AS QUANTUM SYSTEM STATE CHARACTERISTICS

DOI10.1142/S0219749912410171zbMath1282.81113arXiv1210.0464OpenAlexW2066210954MaRDI QIDQ2845274

Vladimir N. Chernega, Vladimir I. Man'ko

Publication date: 22 August 2013

Published in: International Journal of Quantum Information (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.0464

zbMATH Keywords

semigroupuncertainty relationscumulantquantum tomogramsprobability vectornon-Gaussianity parameter

Mathematics Subject Classification ID

Commutation relations and statistics as related to quantum mechanics (general) (81S05) Quantum state estimation, approximate cloning (81P50)

Related Items (1)

Deformed entropy and information relations for composite and noncomposite systems

Cites Work

• A Mathematical Theory of Communication
• Symplectic tomography as classical approach to quantum systems.
• Positive maps of density matrix and a tomographic criterion of entanglement
• Homodyne estimation of quantum state purity by exploiting the covariant uncertainty relation
• An introduction to the tomographic picture of quantum mechanics
• State extended uncertainty relations

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