Quantum correlations and tomographic representation

作者: O. V. Man’ko , V. N. Chernega

DOI: 10.1134/S0021364013090099

关键词: Probability distributionQuantum stateRepresentation (mathematics)Star productQuantumQuantum mechanicsStatistical physicsWave functionDensity matrixTomographyPhysics

摘要: We review the probabilistic representation of quantum mechanics within which states are described by probability distribution rather than wavefunction and density matrix. Uncertainty relations have been obtained in form integral inequalities containing measurable optical tomograms states. Formulas for transition probabilities purity parameter derived terms tomographic distributions. Inequalities Shannon Renyi entropies associated with obtained. A scheme star product has developed.

参考文章(44)
Lev Davidovič Landau, Evgenij M. Lifšic, Course of Theoretical Physics ,(2013)
M. Bellini, A. S. Coelho, S. N. Filippov, V. I. Man'ko, A. Zavatta, Towards higher precision and operational use of optical homodyne tomograms Physical Review A. ,vol. 85, pp. 052129- ,(2012) , 10.1103/PHYSREVA.85.052129
O. V. Man’ko, V. I. Man’ko, Photon Number and Optical Tomograms for Gaussian States Laser Physics. ,vol. 19, pp. 1804- 1808 ,(2009) , 10.1134/S1054660X09150286
K Takashima, N Hatakenaka, S Kurihara, A Zeilinger, Nonstationary boundary effect for a quantum flux in superconducting nanocircuits Journal of Physics A. ,vol. 41, pp. 164036- ,(2008) , 10.1088/1751-8113/41/16/164036
S. Wallentowitz, W. Vogel, Unbalanced homodyning for quantum state measurements. Physical Review A. ,vol. 53, pp. 4528- 4533 ,(1996) , 10.1103/PHYSREVA.53.4528
Olga V. Man'ko, Nikolai V. Tcherniega, Photon-number tomography and symplectic approach to stimulated Raman scattering ICONO 2005: Ultrafast Phenomena and Physics of Superintense Laser Fields; Quantum and Atom Optics; Engineering of Quantum Information. ,vol. 6256, ,(2006) , 10.1117/12.682581
S.V. Kuznetsov, A.V. Kyusev, O.V. Man'ko, N.V. Tcherniga, Entanglement in the process of stimulated Brillouin scattering of light Acta Physica Hungarica B) Quantum Electronics. ,vol. 20, pp. 11- 14 ,(2004) , 10.1556/APH.20.2004.1-2.4
Konrad Banaszek, Kryzysztof Wódkiewicz, Direct probing of quantum phase space by photon counting. Physical Review Letters. ,vol. 76, pp. 4344- 4347 ,(1996) , 10.1103/PHYSREVLETT.76.4344
L. D. Landau, J. S. Bell, J. B. Sykes, E. M. Lifshitz, M. E. Rose, Quantum mechanics: Non-relativistic theory, ,(1965)
Sergey V Kuznetsov, Olga V Man ko, Nikolay V Tcherniega, Photon distribution function, tomograms and entanglement in stimulated Raman scattering Journal of Optics B-quantum and Semiclassical Optics. ,vol. 5, ,(2003) , 10.1088/1464-4266/5/4/357