Probability representation and state-extended uncertainty relations

2011/02/09 by V. N. Chernega, Chernega, V. N., V. I. Manʹko +2
Computer Science · Decision Sciences · Physics and Astronomy · #FOS: Physical sciences #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Scientific Measurement and Uncertainty Evaluation #quant-ph

paper · pdf · doi:10.48550/arxiv.1102.1948

5 pages, to appear in Journal of Russian Laser Research, misprints corrected

openalex publication_date 2011/02/09 · arxiv created 2011/03/20 · arxiv updated 2011/03/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The new inequality recently found by Trifonov and called the state-extended inequality is considered in the tomographic-probability representation of quantum mechanics. The Trifonov uncertainty relations are expressed in terms of optical tomograms and can be checked in experiments on homodyne detection of the photon states.

Related

• State-extended uncertainly relations and tomographic inequalities as quantum system state characteristics
• New Inequalities for Tomograms in the Probability Representation of Quantum States
• A possible experimental check of the uncertainty relations by means of homodyne measuring photon quadrature
• Noise-resolution uncertainty principle in classical and quantum systems
• Quantum probability measures and tomographic probability densities