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Journal of Shaoyang University

Quantum Decoherence and Dynamics of Nonlocality for Two-mode Single-photon Subtraction Squeezed Vacuum States

Kuang Le

Published Jan 1, 2006• 0 citations
OpenAlex

Abstract

In this paper we investigate the quantum decoherence and the dynamics of nonlocality of two-mode single-photon subtracted squeezed vacuum state(TSSV).We numerically calculate the relative entropy of the entanglement and analyze in detail the linear entropy of the entanglement.Then we calculate the Bell-CHSH inequality based upon pseudospin operators and find that the Bell inequality is always violated.Therefore,we are sure that the decoherence can only decrease the amount of the entanglement but can not eliminate the entanglement of TSSV completely.

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In this paper we investigate the quantum decoherence and the dynamics of nonlocality of two-mode single-photon subtracted squeezed vacuum state(TSSV).We numerically calculate the relative entropy of the entanglement and analyze in detail the linear entropy of the entanglement.Then we calculate the Bell-CHSH inequality based upon pseudospin operators and find that the Bell inequality is always violated.Therefore,we are sure that the decoherence can only decrease the amount of the entanglement but can not eliminate the entanglement of TSSV completely.
Quantum entanglement and nonlocality properties of a family of two-mode Gaussian pure states have been investigated. The results show that the entanglement of these states is determined by both the two-mode squeezing parameter and the difference of the two single-mode squeezing parameters. For the same two-mode squeezing parameter, these states show larger entanglement than the usual two-mode squeezed vacuum state. The violation of Bell inequality depends strongly on all the squeezing parameters of these states and disappears completely in the limit of large squeezing. In particular, these states can exhibit much stronger violation of local realism than two-mode squeezed vacuum state in the range of experimentally available squeezing values.
A new kind of non-Gaussian quantum state is introduced by applying nonlocal coherent superposition (τa + sb) m of photon subtraction to two single-mode squeezed vacuum states, and the properties of entanglement are investigated according to the degree of entanglement and the average fidelity of quantum teleportation. The state can be seen as a single-variable Hermitian polynomial excited squeezed vacuum state, and its normalization factor is related to the Legendre polynomial. It is shown that, for τ = s, the maximum fidelity can be achieved, even over the classical limit (1/2), only for even-order operation m and equivalent squeezing parameters in a certain region. However, the maximum entanglement can be achieved for squeezing parameters with a π phase difference. These indicate that the optimal realizations of fidelity and entanglement could be different from one another. In addition, the parameter τ/s has an obvious effect on entanglement and fidelity.
This work demonstrates that a quantum temporal field can generate genuine Bell entanglement between spatially separated localized modes. By defining two orthogonal, well-localized modes and introducing a parametric two-mode interaction, we produce a two-mode squeezed vacuum state. Through heralding or unitary processing, the system can be projected into an effective single-excitation Bell state. Measurement correlators are computed, showing explicit violation of the CHSH inequality while preserving no-signalling. This provides a field-theoretic realization of quantum correlations directly from the temporal field framework, linking abstract temporal dynamics to concrete quantum information phenomena.
Abstract A class of non-Gaussian entangled states is introduced by applying the nonlocal single-photon addition to two-mode squeezed vacuum state and the properties of entanglement are numerically investigated according to linear entropy and Einstein–Podolsky–Rosen (EPR) steering. After the nonlocal single-photon addition operation, Wigner function of the generated state appears some negative region and loses its Gaussian property in phase space. In essence, non-Gaussian entangled states are generated after applying nonlocal single-photon addition. Additionally, by studying the linear entropy and EPR steering, we find that single-photon addition can enhance their entanglement degree and non-Gaussian steering can be witnessed in a large range of squeezing parameter for the second-order quadratures, which may provide a well application in the fields of quantum information processing.