Determination of quasiprobability distributions in terms of probability distributions for the rotated quadrature phase

摘要: It is shown that the probability distribution for rotated quadrature phase [${a}^{\mathrm{\ifmmode^\circ\else\textdegree\fi{}}}$exp(i\ensuremath{\theta})+a exp(-i\ensuremath{\theta})]/2 can be expressed in terms of quasiprobability distributions such as P, Q, and Wigner functions also reverse true, i.e., if known every \ensuremath{\theta} interval 0\ensuremath{\le}\ensuremath{\theta}l\ensuremath{\pi}, then obtained.