Quantum correlations dynamics of three-qubit states coupled to an XY spin chain: Role of coupling strengths

Quantum correlations (including entanglement and quantum discord) of two qubits symmetrically coupled to the surrounding XY spin chain in the presence of a transverse magnetic field are studied. We investigate the dynamic evolution of the quantum correlations of the two qubits when the surrounding spin chain is in the thermal equilibrium state. Numerical results show that the thermal effects can accelerate the decay process of the quantum correlations if the initial state of the composite system is not in the decoherence free space. When the temperature is high enough, the quantum phase transition driven by the external magnetic field completely disappear.

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Loschmidt Echo of a central spin coupled to an XY spin chain: The role of the Dzyaloshinsky-Moriya interaction

Chinese Physics C ◽

10.1088/1674-1137/38/7/074102 ◽

2014 ◽

Vol 38 (7) ◽

pp. 074102

Author(s):

Han-Li Lian

Keyword(s):

Spin Chain ◽

Xy Spin Chain ◽

Loschmidt Echo ◽

Moriya Interaction

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Examining quantum correlations in the XY spin chain by local quantum uncertainty

Quantum Information Processing ◽

10.1007/s11128-015-0933-0 ◽

2015 ◽

Vol 14 (4) ◽

pp. 1429-1442 ◽

Cited By ~ 12

Author(s):

Jin-Liang Guo ◽

Jin-Long Wei ◽

Wan Qin ◽

Qing-Xia Mu

Keyword(s):

Spin Chain ◽

Quantum Correlations ◽

Quantum Uncertainty ◽

Local Quantum Uncertainty ◽

Local Quantum ◽

Xy Spin Chain

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Decoherence of a quantum system coupled to an XY spin chain: Role of the initial state of the spin chain

Annals of Physics ◽

10.1016/j.aop.2015.11.014 ◽

2016 ◽

Vol 365 ◽

pp. 223-235 ◽

Cited By ~ 2

Author(s):

Zi-Gang Yuan ◽

Ping Zhang ◽

Shu-Shen Li ◽

Jian Jing

Keyword(s):

Quantum System ◽

Spin Chain ◽

Initial State ◽

Xy Spin Chain

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Loschmidt echo of a central spin coupled to an XY spin chain: Role of three-site interaction

Physica B Condensed Matter ◽

10.1016/j.physb.2011.08.048 ◽

2011 ◽

Vol 406 (22) ◽

pp. 4278-4282 ◽

Cited By ~ 2

Author(s):

HanLi Lian

Keyword(s):

Spin Chain ◽

Xy Spin Chain ◽

Loschmidt Echo

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Quantum interferometric power and the role of nonclassical correlations in quantum metrology for a special class of two-qubit states

International Journal of Modern Physics B ◽

10.1142/s0217979217500527 ◽

2017 ◽

Vol 31 (08) ◽

pp. 1750052 ◽

Cited By ~ 1

Author(s):

H. El Hadfi ◽

Y. Ait Taleb ◽

M. Daoud

Keyword(s):

Quantum Fisher Information ◽

Quantum Correlations ◽

Von Neumann Entropy ◽

Phase Estimation ◽

Quantum Metrology ◽

Von Neumann ◽

Local Quantum ◽

Parameter Precision ◽

Qubit States

We analyze the effects of quantum correlations on the parameter precision in an interferometric configuration. As probe states, we consider a class of two-qubit states for which the analytical expression of the quantum interferometric power, quantifying the quantum correlations, is explicitly derived. Also, we give and analyze the local quantum Fisher information, which evaluates the sensitivity of the probe state to the phase shift, for some relevant local Hamiltonians. The discord-like quantum correlations based on the notion of quantum interferometric power are compared with the original quantum discord based on von Neumann entropy. We also examine the significance of quantum correlations in enhancing the precision of the phase estimation. Our study corroborates the recent series of investigations focusing on the role of quantum correlations other than entanglement on the efficiency of quantum metrology protocols.

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