Husimi Q representation

The Husimi Q representation, introduced by Kôdi Husimi in 1940,[1] is a quasiprobability distribution commonly used in quantum mechanics[2] to represent the phase space distribution of a quantum state such as light in the phase space formulation.[3] It is used in the field of quantum optics[4] and particularly for tomographic purposes. It is also applied in the study of quantum effects in superconductors.[5]

Husimi distribution of the squeezed coherent state
Husimi distribution function of three coherent states merged
  1. ^ Kôdi Husimi (1940). "Some Formal Properties of the Density Matrix", Proc. Phys. Math. Soc. Jpn. 22: 264-314 . J Harriman and M Casida (1993), Int Jou Quant Chem 45: 263-294 doi:10.1002/qua.560450304.
  2. ^ Dirac, P. A. M. (1982). The principles of quantum mechanics (Fourth ed.). Oxford UK: Oxford University Press. p. 18 ff. ISBN 0-19-852011-5.
  3. ^ Ulf Leonhardt (1997). Measuring the Quantum State of Light, Cambridge Studies in Modern Optics. ISBN 0521497302 , ISBN 978-0521497305.
  4. ^ H. J. Carmichael (2002). Statistical Methods in Quantum Optics I: Master Equations and Fokker-Planck Equations, Springer-Verlag. ISBN 978-3-540-54882-9
  5. ^ Callaway, D. J. E. (1990). "On the remarkable structure of the superconducting intermediate state". Nuclear Physics B. 344 (3): 627–645. Bibcode:1990NuPhB.344..627C. doi:10.1016/0550-3213(90)90672-Z.