Statistical properties and the superposition of coherent and vacuum state

Wang Yue-Yuan, Jicheng Wang, Shutian Liu

This paper discusses some statistical properties of the superposition of two coherent states with a vacuum state, such as sub-Poissonian photon statistics and negativity of the Wigner function. Phase probability distribution and phase variance are calculated. Special cases of the constructed superposition states are presented. The results show that depending on the vacuum state coefficient γ and the coherent state coefficient α, it can generate a variety of nonclassical states.

M. M. Al'perin, Ya. D. Klubis

Zhu Cong-xu

The Superposition States,which are composed of the q-coherent states and q-vacuum states,are presented,and its Quantum Statistic Properties are discussed.The ordinary squeezing and q-squeezing are discussed.The results of Superposition of coherent states and vacuum states are contained in the more general conclusion of this paper as special cases.

Chuan-hua Dong

Biswanath Rath

N. Alioui, Akila Frahi-Amroun, C. Bendjaballah

Based on the calculation of the Wigner function, some statistical properties of the superposition of two coherent states with a vacuum state are demonstrated. The distance variation difference function is calculated for these states. Application of homodyne statistics shows that the addition (subtraction) of the vacuum state can improve the classical channel capacity of a noiseless binary symmetric system.