Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

International Journal of Modern Physics B

Controlling measurement-induced nonlocality in the Heisenberg XX model by three-spin interactions

Yu-Xia Xie, Yuhang Sun, Li Zhao

Published Aug 1, 2017• 5 citations
Publisher

Abstract

We investigate the well-defined measures of measurement-induced nonlocality (MIN) for thermal states of the transverse field XX model, with the addition of three-spin interaction terms being introduced. The results showed that the MINs are very sensitive to system parameters of the chain. The three-spin interactions can serve as flexible parameters for enhancing MINs of the boundary spins, and the maximum enhancement achievable by varying strengths of the three-spin interactions are different for the chain with different number of spins.

DOI
10.1142/s021797921750268x

Related papers

Measurement-induced nonlocality in the anisotropic Heisenberg chain

Chen Wen-xue, Yu-Xia Xie, Xiao-Qiang Xi

Quantum correlations are essential for quantum information processing. Measurement-induced nonlocality (MIN) which is defined based on the projective measurement is a good measure of quantum correlation, and is favored for its potential applications. We investigate here behaviors of the geometric and entropic MIN in the two-qubit Heisenberg XY chain, and reveal effects of the anisotropic parameter $γ$ as well as the external magnetic field $B$ on strength of them. Our results show that both $γ$ and $B$ can serve as efficient controlling parameters for tuning the MIN in the XY chain.

arXiv:1310.7675•Oct 29, 2013•0 citations

Steady-state measurement-induced nonlocality in thermal reservoir

Zhao Li, Yu-Xia Xie

Abstract We examined measurement-induced nonlocality (MIN) of a central system for which every of the constituent qubit is embedded in its respective independent thermal reservoir. By introducing anisotropy to the Heisenberg XY interaction of the qubits, we showed that the strength of the MIN can be enhanced apparently. The anisotropy of the spin interaction can also be employed to generate MIN from the initial zero-MIN states. In the infinite-time limit, the steady-state MIN is independent of the initial states and is determined solely by the anisotropic parameter of the system and the decoherence factor of the thermal reservoir.

Laser Physics Letters•May 10, 2018•5 citations

Measurement-induced nonlocality in the two-qubit Heisenberg XY model

Chen Wen-xue, Yu-Xia Xie, Xiao-Qiang Xi

Quantum correlations are essential for quantum information processing (QIP). Measurement-induced nonlocality (MIN) is a good measure of quantum correlation, and is favored for its conceptual implication and potential application. We investigated here the particular behaviors of the geometric and entropic measures of MIN in the two-qubit Heisenberg XY model and revealed the effects of anisotropic parameter γ and the external magnetic field B on them. Our results showed that both γ and B can serve as efficient controlling parameters for tuning MIN in the XY model.

International Journal of Modern Physics B•Apr 21, 2015•11 citations

Measurement Induced Nonlocality and Entanglement in Two-qubit System

R. Muthuganesan, R. Sankaranarayanan

In this paper, we compare the measurement induced nonlocality (MIN) and entanglement for few well known two-qubit states. We observe that there exists nonlocality in the absence of entanglement, with the behaviour of MIN similar to the quantum correlation measure using mutually unbiased bases. For the thermal state of two interacting spin-1/2 particles, we show the possibility of nonlocality without entanglement as long as the spins are not influenced by an external magnetic field.

•Apr 10, 2016•0 citations

Thermal quantum correlations and teleportation under PT-symmetric system

J. Ramya Parkavi, R. Muthuganesan, V. K. Chandrasekar +1 more

In this article, we exploit the different notions of quantumness measure to understand the properties of the Heisenberg XY model with and without PT-symmetric operation. In the absence of PT-symmetry, we study the significance of different measures, namely entanglement and measurement induced nonlocality (MIN), in the detection of the quantumness of the Heisenberg XY model. It is observed that the quantum correlations and teleportation fidelity monotonically decreases with respect to temperature. Furthermore, the intervention of PT-symmetric operation enhances the strengths of quantum correlation. In addition, we highlight the role of the system's parameters and PT-symmetric operation on the teleportation of a quantum state. Our results also emphasize that after the addition of PT-symmetric operation, the considered physical model remains a versatile resource to achieve successful teleportation of the quantum state.

arXiv:2203.05163•Mar 10, 2022•3 citations

Steered coherence and entanglement in the Heisenberg XX chain under twisted boundary conditions*

Yuhang Sun, Yu-Xia Xie

We study steered coherence (SC) and entanglement in a three-spin Heisenberg XX model under twisted boundary conditions and show that their strengths can be significantly enhanced by tuning the twist angle. The optimal twist angle θ opt for achieving the maximum l 1 norm of SC is π in the region of weak field B and decreases gradually from π to 0 when B increases after a critical value, while for the relative entropy of SC, θ opt equals π in the weak field region and 0 otherwise. The entanglement and the critical temperature above which the entanglement vanishes can also be significantly enhanced by tuning the twist angle from 0 to π.

Chinese Physics B•Feb 1, 2021•1 citation
We investigate the well-defined measures of measurement-induced nonlocality (MIN) for thermal states of the transverse field XX model, with the addition of three-spin interaction terms being introduced. The results showed that the MINs are very sensitive to system parameters of the chain. The three-spin interactions can serve as flexible parameters for enhancing MINs of the boundary spins, and the maximum enhancement achievable by varying strengths of the three-spin interactions are different for the chain with different number of spins.
Quantum correlations are essential for quantum information processing. Measurement-induced nonlocality (MIN) which is defined based on the projective measurement is a good measure of quantum correlation, and is favored for its potential applications. We investigate here behaviors of the geometric and entropic MIN in the two-qubit Heisenberg XY chain, and reveal effects of the anisotropic parameter γγγ as well as the external magnetic field BBB on strength of them. Our results show that both γγγ and BBB can serve as efficient controlling parameters for tuning the MIN in the XY chain.
Abstract We examined measurement-induced nonlocality (MIN) of a central system for which every of the constituent qubit is embedded in its respective independent thermal reservoir. By introducing anisotropy to the Heisenberg XY interaction of the qubits, we showed that the strength of the MIN can be enhanced apparently. The anisotropy of the spin interaction can also be employed to generate MIN from the initial zero-MIN states. In the infinite-time limit, the steady-state MIN is independent of the initial states and is determined solely by the anisotropic parameter of the system and the decoherence factor of the thermal reservoir.
Quantum correlations are essential for quantum information processing (QIP). Measurement-induced nonlocality (MIN) is a good measure of quantum correlation, and is favored for its conceptual implication and potential application. We investigated here the particular behaviors of the geometric and entropic measures of MIN in the two-qubit Heisenberg XY model and revealed the effects of anisotropic parameter γ and the external magnetic field B on them. Our results showed that both γ and B can serve as efficient controlling parameters for tuning MIN in the XY model.
In this article, we exploit the different notions of quantumness measure to understand the properties of the Heisenberg XY model with and without PT-symmetric operation. In the absence of PT-symmetry, we study the significance of different measures, namely entanglement and measurement induced nonlocality (MIN), in the detection of the quantumness of the Heisenberg XY model. It is observed that the quantum correlations and teleportation fidelity monotonically decreases with respect to temperature. Furthermore, the intervention of PT-symmetric operation enhances the strengths of quantum correlation. In addition, we highlight the role of the system's parameters and PT-symmetric operation on the teleportation of a quantum state. Our results also emphasize that after the addition of PT-symmetric operation, the considered physical model remains a versatile resource to achieve successful teleportation of the quantum state.
We study steered coherence (SC) and entanglement in a three-spin Heisenberg XX model under twisted boundary conditions and show that their strengths can be significantly enhanced by tuning the twist angle. The optimal twist angle θ opt for achieving the maximum l 1 norm of SC is π in the region of weak field B and decreases gradually from π to 0 when B increases after a critical value, while for the relative entropy of SC, θ opt equals π in the weak field region and 0 otherwise. The entanglement and the critical temperature above which the entanglement vanishes can also be significantly enhanced by tuning the twist angle from 0 to π.