Optimal quantum channel estimation of two interacting qubits subject to decoherence

We investigate the estimation of the quantum channel parameter for a two-qubit system with each qubit independently interacting with its Markovian environment. The dynamics of quantum Fisher information in this system is studied and employed as a measure to quantify the precision of the estimation....

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Published in:	The European physical journal. D, Atomic, molecular, and optical physics Vol. 68; no. 6
Main Authors:	Zheng, Qiang, Yao, Yao, Li, Yong
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2014 EDP Sciences
Subjects:	Applications of Nonlinear Dynamics and Chaos Theory Atomic Classical and quantum physics: mechanics and fields Exact sciences and technology Foundations, theory of measurement, miscellaneous theories (including aharonov-bohm effect, bell inequalities, berry's phase) Molecular Optical and Plasma Physics Physical Chemistry Physics Physics and Astronomy Quantum information Quantum Information Technology Quantum mechanics Quantum Physics Regular Article Spectroscopy/Spectrometry Spintronics Quantum Information Quantum decoherence Quantum information Quantum entanglement Quantum bit Fisher information
ISSN:	1434-6060, 1434-6079
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Abstract	We investigate the estimation of the quantum channel parameter for a two-qubit system with each qubit independently interacting with its Markovian environment. The dynamics of quantum Fisher information in this system is studied and employed as a measure to quantify the precision of the estimation. We find that the dynamic behavior of quantum Fisher information with respect to the decoherence rate γ is proportional to t 2 /[exp( γt ) − 1] and exp(−2 γt ) in the unitary limit and the completely decoherent limit, respectively. We also study the evolution of quantum Fisher information with respect to the interaction strength, which shows oscillating behavior. Furthermore, we show that the increase in entanglement of the input state may not enhance the precision of quantum estimation.
AbstractList	We investigate the estimation of the quantum channel parameter for a two-qubit system with each qubit independently interacting with its Markovian environment. The dynamics of quantum Fisher information in this system is studied and employed as a measure to quantify the precision of the estimation. We find that the dynamic behavior of quantum Fisher information with respect to the decoherence rate γ is proportional to t 2 /[exp( γt ) − 1] and exp(−2 γt ) in the unitary limit and the completely decoherent limit, respectively. We also study the evolution of quantum Fisher information with respect to the interaction strength, which shows oscillating behavior. Furthermore, we show that the increase in entanglement of the input state may not enhance the precision of quantum estimation.
ArticleNumber	170
Author	Zheng, Qiang Li, Yong Yao, Yao
Author_xml	– sequence: 1 givenname: Qiang surname: Zheng fullname: Zheng, Qiang email: qzhengnju@gmail.com organization: Beijing Computational Science Research Center, School of Mathematics and Computer Science, Guizhou Normal University – sequence: 2 givenname: Yao surname: Yao fullname: Yao, Yao organization: Beijing Computational Science Research Center – sequence: 3 givenname: Yong surname: Li fullname: Li, Yong organization: Beijing Computational Science Research Center, Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China
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Snippet	We investigate the estimation of the quantum channel parameter for a two-qubit system with each qubit independently interacting with its Markovian environment....
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SubjectTerms	Applications of Nonlinear Dynamics and Chaos Theory Atomic Classical and quantum physics: mechanics and fields Exact sciences and technology Foundations, theory of measurement, miscellaneous theories (including aharonov-bohm effect, bell inequalities, berry's phase) Molecular Optical and Plasma Physics Physical Chemistry Physics Physics and Astronomy Quantum information Quantum Information Technology Quantum mechanics Quantum Physics Regular Article Spectroscopy/Spectrometry Spintronics
Title	Optimal quantum channel estimation of two interacting qubits subject to decoherence
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