Influence of homodyne-based feedback control on the entropic uncertainty in open quantum system

doi:10.1088/1674-1056/28/7/070303

Abstract

For an open quantum system containing two qubits under homodyne-based feedback control, we investigate the dynamical behaviors of quantum-memory-assisted entropic uncertainty. Moreover, we analyze the influence of feedback modes and coefficients on the entropic uncertainty. Numerical investigations show that the memory qubit should be placed in a non-dissipative channel if the single dissipative channel condition can be chosen, which helps reduce the entropic uncertainty of the system. For the homodyne feedback control F=λσ_x (or F=λσ_y), due to different roles of the entangled qubits A and B, when they are subject to feedback control with different feedback coefficients λ, the exchange of feedback coefficients will cause variations of the entropic uncertainty. When the feedback coefficient corresponding to the memory qubit B is larger (λ_B>λ_A), the steady value of the entropic uncertainty will be small, which is conducive to enhancing the robustness of the system. However, for the feedback control F=λσ_z, the difference between the feedback coefficients has no effect on the steady values of the entropic uncertainty.

Keywords: homodyne-based feedback control quantum-memory-assisted entropic uncertainties memory qubit open quantum system

Received: 21 March 2019
Revised: 14 May 2019
Accepted manuscript online:

PACS:	03.65.Ta	(Foundations of quantum mechanics; measurement theory)
	05.40.Ca	(Noise)
	03.65.Yz	(Decoherence; open systems; quantum statistical methods)

Fund:

Project supported by the National Natural Science Foundation of China (Grant Nos. 61663016 and 11404150).

Corresponding Authors: Juju Hu
E-mail: hjj2006@jxnu.edu.cn,jxnuhjj@126.com

Cite this article:

Juju Hu(胡菊菊), Qin Xue(薛琴) Influence of homodyne-based feedback control on the entropic uncertainty in open quantum system 2019 Chin. Phys. B 28 070303

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Influence of homodyne-based feedback control on the entropic uncertainty in open quantum system

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