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

Physica A Statistical Mechanics and its Applications

One-norm geometric quantum discord of two-qubit state in spin chain environment at finite temperature

Jin‐Liang Guo, Chang-Cheng Cheng

Published Apr 5, 2015• 3 citations
Publisher
DOI
10.1016/j.physa.2015.03.028

Related papers

One-norm geometric quantum discord and critical point estimation in the XY spin chain

Chang-Cheng Cheng, Yao Wang, Jin‐Liang Guo

Annals of Physics•Aug 24, 2016•6 citations

Sudden transitions and scaling behavior of geometric quantum correlation for two qubits in quantum critical environments at finite temperature

Da-Wei Luo, Jing‐Bo Xu

We investigate the phenomenon of sudden transitions in geometric quantum correlation of two qubits in spin chain environments at finite temperature. It is shown that when only one qubit is coupled to the spin environment, the geometric discord exhibits a double sudden transition behavior, which is closely related to the quantum criticality of the spin chain environment. When two qubits are uniformly coupled to a common spin chain environment, the geometric discord is found to display a sudden transition behavior whereby the system transits from pure classical decoherence to pure quantum decoherence. Moreover, an interesting scaling behavior is revealed for the frozen time, and we also present a scheme to prolong the time during which the discord remains constant by applying bang–bang pulses.

Journal of Physics A Mathematical and Theoretical•Aug 22, 2014•5 citations

Geometric Quantum Discord of a Two-Qutrit System Under Decoherence at Finite Temperature

You-neng Guo, Zhen-ke Liu, Qinglong Tian +3 more

International Journal of Theoretical Physics•Feb 2, 2018•3 citations

Protecting geometric quantum discord via partially collapsing measurements of two qubits in multiple bosonic reservoirs

Xue-Yun Bai, Suying Zhang

We study the dynamics of geometric quantum discord (GQD) between two qubits, each qubit interacting at the same time with K independent multiple bosonic reservoirs at zero temperature. In both weak and strong qubit–reservoirs coupling regimes, we find that the increase of the number K of reservoirs can induce the damped oscillation of GQD, and enhance the memory effects of the overall environment. And the Hilbert–Schmidt norm GQD (two-norm GQD) is always smaller than the trace norm geometric quantum discord (one-norm GQD). Therefore, the one-norm GQD is a better way to measure the quantum correlation. Finally, we propose an effective strategy to improve GQD by using partially collapsing measurements, and we find that the protection effect is better with the increase of the weak measurement strength.

Chinese Physics B•Jan 27, 2022•1 citation

Geometric Global Quantum Discord of Arbitrarily Two-qubit States

Yunlong Xiao, Tao Li, Shao-Ming Fei +3 more

•Jan 30, 2015•0 citations

Quantum discord and one-norm geometric quantum discord for XXX Heisenberg spin chain under noisy channels

E. Faizi, H. Eftekhari

Here, we compare the behavior of the quantum discord, 1-norm geometric quantum discord and concurrence under the effect of decoherence for XXX Heisenberg spin chain. Their dependencies on temperature and coupling constant are presented in detail. By a comparison between them we can see that quantum discord and 1-norm geometric quantum discord are more robust than the concurrence against decoherence in the sense that quantum discord and 1-norm geometric quantum discord takes a nonzero value and decrease asymptotically, while the concurrence is zero in a large range of parameters including temperature and coupling constant. Moreover, we find that there is no simple relative ordering between 1-norm geometric quantum discord and quantum discord. This result contradicts the information which provided in some papers.

arXiv:1401.4571•Jan 18, 2014•0 citations
We investigate the phenomenon of sudden transitions in geometric quantum correlation of two qubits in spin chain environments at finite temperature. It is shown that when only one qubit is coupled to the spin environment, the geometric discord exhibits a double sudden transition behavior, which is closely related to the quantum criticality of the spin chain environment. When two qubits are uniformly coupled to a common spin chain environment, the geometric discord is found to display a sudden transition behavior whereby the system transits from pure classical decoherence to pure quantum decoherence. Moreover, an interesting scaling behavior is revealed for the frozen time, and we also present a scheme to prolong the time during which the discord remains constant by applying bang–bang pulses.
We study the dynamics of geometric quantum discord (GQD) between two qubits, each qubit interacting at the same time with K independent multiple bosonic reservoirs at zero temperature. In both weak and strong qubit–reservoirs coupling regimes, we find that the increase of the number K of reservoirs can induce the damped oscillation of GQD, and enhance the memory effects of the overall environment. And the Hilbert–Schmidt norm GQD (two-norm GQD) is always smaller than the trace norm geometric quantum discord (one-norm GQD). Therefore, the one-norm GQD is a better way to measure the quantum correlation. Finally, we propose an effective strategy to improve GQD by using partially collapsing measurements, and we find that the protection effect is better with the increase of the weak measurement strength.
Here, we compare the behavior of the quantum discord, 1-norm geometric quantum discord and concurrence under the effect of decoherence for XXX Heisenberg spin chain. Their dependencies on temperature and coupling constant are presented in detail. By a comparison between them we can see that quantum discord and 1-norm geometric quantum discord are more robust than the concurrence against decoherence in the sense that quantum discord and 1-norm geometric quantum discord takes a nonzero value and decrease asymptotically, while the concurrence is zero in a large range of parameters including temperature and coupling constant. Moreover, we find that there is no simple relative ordering between 1-norm geometric quantum discord and quantum discord. This result contradicts the information which provided in some papers.