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arXiv:2304.05400 · Acta Physica Polonica A

Two-Mode Photon-Added Entangled Coherent States and Their Entanglement Properties

Arpita Chatterjee

Published Mar 1, 2022• 1 citation
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Abstract

An entangled quantum state is considered by applying a local photon excitation to each mode of an entangled coherent state.The entanglement property is investigated in terms of the entropy of entanglement.It is shown that applying a photon addition can improve the amount of entanglement.It is also examined that in a specific region of parameters, the state |ψ - 1 (α, m, n) is least entangled when photon excitation is minimum.We study the statistical properties of such states by employing the quasi-probability functions.

DOI
10.12693/aphyspola.141.183

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An entangled quantum state is considered by applying a local photon excitation to each mode of an entangled coherent state.The entanglement property is investigated in terms of the entropy of entanglement.It is shown that applying a photon addition can improve the amount of entanglement.It is also examined that in a specific region of parameters, the state |ψ - 1 (α, m, n) is least entangled when photon excitation is minimum.We study the statistical properties of such states by employing the quasi-probability functions.
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A new entangled quantum state is introduced by applying local coherent superposition (CS) (ra†+ta) of photon subtraction and addition to each mode of an even entangled coherent state (EECS). The properties of entanglement are investigated in terms of the Einstein–Podolsky–Rosen (EPR) correlation, the degree of entanglement, and the average fidelity of quantum teleportation. It is found that single- and two-mode CS operations can improve the EPR correlation of the EECS in a big (>0.88) and small (<0.52) region of amplitude, respectively. The enhanced entanglement and fidelity depend on the even or odd order of CS. All optimal results are not achieved at two extreme cases of t=0, 1.
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Abstract We theoretically analyze the nonclassicality and entanglement of two new non-Gaussian entangled states generated by applying multiple-photon addition and subtraction to a two-mode binomial state. The nonclassical properties are investigated in terms of the partial negativity of the Wigner functions, whose results show that their nonclassicality can be enhanced via one-mode even-number photon operations and two-mode symmetrical operations for the initial two-mode binomial state. We also find that there exists some enhancement in the entanglement properties in certain parameter ranges via one-mode photon-addition and two-mode symmetrical operations .