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Does the uncertainty relation determine the quantum state?

2006/04/06 by Olga V. Man'ko, Olga V. Man’ko, V. I. Man'ko +4
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Applied mathematics #Class (philosophy) #Computer science #Context (archaeology) #Geography #Geometry #Hermitian matrix #Hilbert space #Mathematics #Operator (biology) #Physics #Pure mathematics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Non-Hermitian Physics #Quantum mechanics #Quantum optics and atomic interactions #Relation (database) #Scaling #State (computer science) #Statistical physics #TRACE (psycholinguistics) #Trace class #quant-ph

paper · pdf · doi:10.1016/j.physleta.2006.04.116

published as Phys.Lett. A357 (2006) 255-260 · 11 pages, to be submitted to Physics Letters A

arxiv created 2006/04/06 · openalex publication_date 2006/05/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The example of nonpositive trace-class Hermitian operator for which Robertson-Schroedinger uncertainty relation is fulfilled is presented. The partial scaling criterion of separability of multimode continuous variable system is discussed in the context of using nonpositive maps of density matrices.

Citations