Quantum speed-up capacity in different types of quantum channels for two-qubit open systems

doi:10.1088/1674-1056/27/6/060302

Abstract A potential acceleration of a quantum open system is of fundamental interest in quantum computation, quantum communication, and quantum metrology. In this paper, we investigate the “quantum speed-up capacity” which reveals the potential ability of a quantum system to be accelerated. We explore the evolutions of the speed-up capacity in different quantum channels for two-qubit states. We find that although the dynamics of the capacity is varying in different kinds of channels, it is positive in most situations which are considered in the context except one case in the amplitude-damping channel. We give the reasons for the different features of the dynamics. Anyway, the speed-up capacity can be improved by the memory effect. We find two ways which may be used to control the capacity in an experiment:selecting an appropriate coefficient of an initial state or changing the memory degree of environments.

Keywords: quantum speed-up capacity quantum speed limit two-qubit open systems quantum channel memory effect

Received: 16 November 2017
Revised: 19 February 2018
Accepted manuscript online:

PACS:	03.65.Yz	(Decoherence; open systems; quantum statistical methods)
	03.65.Ta	(Foundations of quantum mechanics; measurement theory)
	03.67.Mn	(Entanglement measures, witnesses, and other characterizations)

Fund: Project supported by the EU FP7 Marie-Curie Career Integration Fund (Grant No.631883)(for Chao Wang),the Royal Society Research Fund (Grant No.RG150036),and the Fundamental Research Fund for the Central Universities,China (Grant No.2018IB010)(for Xin Liu and Wei Wu).

Corresponding Authors: Xin Liu
E-mail: lxheroes@126.com

Cite this article:

Wei Wu(吴薇), Xin Liu(刘辛), Chao Wang(王超) Quantum speed-up capacity in different types of quantum channels for two-qubit open systems 2018 Chin. Phys. B 27 060302

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Quantum speed-up capacity in different types of quantum channels for two-qubit open systems

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