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Physica Scripta

Teleportation of superposed nonlinear coherent states

Azam Anbaraki, Davood Afshar

Published Nov 13, 2023• 2 citations
Publisher

Abstract

Abstract In this paper, we study the teleportation of nonlinear coherent cat states assuming even and odd nonlinear quasi-Bell states as the channel. Odd nonlinear quasi-Bell states are shown to be maximally entangled independent of the coherent parameter and also nonlinear function but the entanglement of the even nonlinear coherent states depends on the parameters involved. Subsequently, the teleportation probability is evaluated for some nonlinear functions. Our research reveals that when even and odd nonlinear quasi-Bell states are assumed as the quantum channel, the probabilities for successful teleportation are oppositely varied by increasing coherent parameter. For the special case of nonlinear harmonious states, the teleportation probability is a decreasing (increasing) function of the coherent parameter if even (odd) nonlinear quasi-Bell state is used as the channel.

DOI
10.1088/1402-4896/ad0c37

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Abstract In this paper, we study the teleportation of nonlinear coherent cat states assuming even and odd nonlinear quasi-Bell states as the channel. Odd nonlinear quasi-Bell states are shown to be maximally entangled independent of the coherent parameter and also nonlinear function but the entanglement of the even nonlinear coherent states depends on the parameters involved. Subsequently, the teleportation probability is evaluated for some nonlinear functions. Our research reveals that when even and odd nonlinear quasi-Bell states are assumed as the quantum channel, the probabilities for successful teleportation are oppositely varied by increasing coherent parameter. For the special case of nonlinear harmonious states, the teleportation probability is a decreasing (increasing) function of the coherent parameter if even (odd) nonlinear quasi-Bell state is used as the channel.
We propose a scheme for teleportation of an entangled coherent state through bipartite entangled quantum channels. We study the problem in both coherent state picture and orthogonal basis picture composed of coherent states, and find that in the coherent state picture teleportation can be implemented using only linear elements, but the probability of success is less than 1/2, while in the orthogonal basis picture the probability of successful teleportation reaches 1 as long as the four Bell states can be discriminated.
This paper has investigated quantum teleportation of even and odd coherent states in terms of the EPR entanglement states for continuous variables. It discusses the relationship between the fidelity and the entanglement of EPR states, which is characterized by the degree of squeezing and the gain of classical channels. It shows that the quality of teleporting quantum states also depends on the characteristics of the states themselves. The properties of teleporting even and odd coherent states at different intensities are investigated. The difference of teleporting two such kinds of quantum states are analysed based on the quantum distance function.
We present a scheme for implementing a quantum teleportation process using the Jaynes–Cummings model. For this, we study the interaction between an excited state of a two-level atom and a single electromagnetic field in a superposition of coherent states. The resulting entangled state may be considered as a good quantum channel for quantum teleportation protocol. By controlling the interaction field parameters inside the cavity, the average fidelity of the teleported state may be maximized. However, the weight and phase parameters in the teleported states are estimated by using quantum Fisher information. It allows one to show that the sensitivity of the teleported states fluctuates between maximum and minimum bounds for large numbers of photons. Evaluating different quantities of quantum entanglement, average fidelity, and the amount of quantum Fisher information shows that the odd coherent states are usually larger than those obtained using even coherent states.
We consider the problem of teleporting superposed coherent state using non-maximally entangled coherent state as quantum channel and study the effect of entanglement over quality of teleportation. We show that if maximally entangled coherent state (MECS) used by Van Enk and Hirota [Phys. Rev. A 64, 022313 (2001)] and by H Prakash et al. [Phys. Rev. A 75, 044305 (2007)] is replaced by a particular non-maximally entangled coherent state (NMECS), average fidelity of quantum teleportation increases appreciably at small coherent amplitudes. Since it is very challenging to produce superposed coherent states of large coherent amplitudes, the particular NMECS appear to be a good quantum channel for teleportation at small coherent amplitudes for practical implementation.
Quantum Teleportation of N qubits with perfect fidelity using maximally entangled states is explained. It is shown that non-maximally entangled states are used the minimum assured fidelity decreases. It is explained how the success 1/2 of teleportation of a superposition of even and odd coherent states suggested by Van Enk and Hirota was modified by Prakash, Chandra, Prakash and Shivani. It is also shown that the decrease in entanglement may sometimes even result in increase in fidelity. so as to make the success nearly 1. It is also explained how decoherence can be taken into account and how such schemes can be applied to similar phenomena of entanglement diversion and entanglement swapping.
Two-qubit quantum teleportation is closely related to quantum computation,so a teleportation protocol in which an arbitrary bipartite quantum state is perfectly teleported probabilistically from sender to receiver is proposed. One of 16 generalized non-maximally entangled Bell states (G states for simplicity) functions as quantum channel. The teleportation can be successfully realized with a certain probability if sender performs generalized Bell state measurements (G measurements) and receiver introduces an auxiliary particle and operates appropriate unitary transformations and single-qubit measurements. The probability of successful teleportation is determined by the smallest one among the coefficients' absolute values of the quantum channel.