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HUE UNIVERSITY JOURNAL OF SCIENCE NATURAL SCIENCE

VIỄN TẢI LƯỢNG TỬ VỚI TRẠNG THÁI CON MÈO KẾT CẶP ĐIỆN TÍCH

Dang Huu Dinh

Published Apr 14, 2017• 0 citations
Publisher

Abstract

: In this paper, we investigated the entanglement properties of the charge-pair cat states based on the linear entropy function. We used these states for the teleportation of a coherent state in two different measurements at the sender by using joint measurements of the quadrature amplitude and joint measurements of the photon number sum and phase difference. The investigated results of the fidelity show that the even charge-pair cat states are more suitable for teleportation in the way of the quadrature amplitude measurements. However, according to the results of the joint measurement of the photon-number sum and phase difference, both the even and odd charge-pair cat states are suitable for the teleportation process in the small amplitude of the coherent state.

DOI
10.26459/hueuni-jns.v126i1a.3789

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: In this paper, we investigated the entanglement properties of the charge-pair cat states based on the linear entropy function. We used these states for the teleportation of a coherent state in two different measurements at the sender by using joint measurements of the quadrature amplitude and joint measurements of the photon number sum and phase difference. The investigated results of the fidelity show that the even charge-pair cat states are more suitable for teleportation in the way of the quadrature amplitude measurements. However, according to the results of the joint measurement of the photon-number sum and phase difference, both the even and odd charge-pair cat states are suitable for the teleportation process in the small amplitude of the coherent state.
In this paper, we present two methods to improve the average fidelity in the quantum teleportation processes to teleport a coherent state via the pair coherent states. We use the measuring of the orthogonal quadrature components in the first protocol and the photon number sum and phase difference in the second. The results show that the average fidelity in the first protocol is enhanced by performing a photon number shifting at a receiver, and F av can approach to the unit if q becomes very big. In the second protocol, the average fidelity increases with increasing the amplitude of the pair coherent states. It approaches to the unit in the limit of the big amplitude values of the pair coherent states and small of the input state. The average fidelity of both methods is greatly improved comparing with the Gabris-Agarwal protocol and it approaches to unit depending on the parameters involved.
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 via the negative values of its Wigner function as the numbers of adding and subtracting photons are increased. It indicates that the PAASTMPCS is an entangled state. When increasing the numbers of photon-added and photon-subtracted 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 processes are studied in detail. It is shown 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.
We show how the partial entanglement inherent in a two-mode squeezed vacuum state admits two different teleportation protocols. These two protocols refer to the different kinds of joint measurements that may be made by the sender. One protocol is the recently implemented quadrature phase approach of Braunstein and Kimble [Phys. Rev. Lett. 80,80,80, 869 (1998)]. The other is based on recognizing that a two-mode squeezed vacuum state is also entangled with respect to photon-number difference and phase sum. We show that this protocol can also realize teleportation; however, limitations can arise due to the fact that the photon-number spectrum is bounded from below by zero. Our examples show that a given entanglement resource may admit more than a single teleportation protocol and the question then arises as to what is the optimum protocol in the general case.