Abstract
We introduce a new state called photon-added-and-subtracted two modes pair coherent state (PAASTMPCS) by simultaneously adding and subtracting photons to the different modes of a pair coherent state. Its nonclassical and non-Gaussian properties are strengthened by the negative values of its Wigner function as the numbers of photons added or substracted increases. Based on the linear entropy criterion, we indicate that the PAASTMPCS is an entangled state. When increasing the numbers of photons added or substracted to a pair coherent state, the degree of entanglement in the PAASTMPCS is enhanced compared with the original pair coherent state. By using a PAASTMPCS as a non-Gaussian entangled resource, the quantum teleportation process is studied in detail. The results show that the number sum and phase difference measurements protocol is more appropriate than the orthogonal quadrature components measurements protocol in the quantum teleportation process of a coherent state.
Highlights
IntroductionThese effects to the nonclassical states such as pair coherent state [6, 7] or two-mode squeezing state [8] may increase the nonclassicality of the proposed states [9,10,11,12]
The addition and subtraction of photons to the classical states such as a coherent state [1] or a thermal state [2] are the normal operations that can transform to a nonclassical one [3,4,5]
We have introduced a new state called photon-added-and-subtracted two modes pair coherent state (PAASTMPCS) and studied their nonclassical and non-Gaussian properties based on the Wigner function
Summary
These effects to the nonclassical states such as pair coherent state [6, 7] or two-mode squeezing state [8] may increase the nonclassicality of the proposed states [9,10,11,12]. The photons added and subtracted to a two-mode squeezing state have introduced many non-Gaussian states [30,31,32,33], in which the nonclassical and the entanglement properties have been investigated. The photon-added and photon-subtracted pair coherent state [46], in which the added or subtracted photons only take place in one mode of the pair coherent state was introduced In these states, the nonclassical and the entanglement properties of them were studied in detail. We introduce a new state called photon-added-and-subtracted two modes pair coherent state (PAASTMPCS) by acting k times of creation operator a† on mode a and l times with l ≤ q of annihilation operatorb on mode b of a PCS |ξ, q ab as. We will use PAASTMPCS in the form of |ξ, k, h ab in Eqs. (6) and (7) for calculation
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