Generation of distributed steady entangled state between two solid-state spins

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Generation of distributed steady entangled state between two solid-state spins Zhao Jin1

· Ai-Dong Zhu2 · Shou Zhang2 · Yang Qi3 · S.-L. Su4

Received: 9 February 2020 / Accepted: 12 August 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020

Abstract The generation of distributed entangled states among solid-state spins is key to the development of large-scale quantum networks and quantum computation. We propose a dissipative scheme for generating stable entanglement between the electron-spin states of two separated nitrogen-vacancy centers, each coupled to a microtoroidal resonator and separated in space. An optical fiber-taper waveguide links the two microtoroidal resonators. Numerical simulations show that spontaneous emission from the NV centers and the collective decay of delocalized field modes can act as effective resources to generate stationary singlet-like states without the need for initialization and precise control of the evolution of the system over time. Results indicate that the proposed scheme can reach high-fidelity and purity of states, and is resilient against small parameter fluctuations. We also discuss how the pure spin dephasing that arises from longitudinal magnetic-near-field noise affects the fidelity of the target state. Keywords Distributed entanglement · Nitrogen-vacancy centers · Cavity QED · Dissipative dynamics

This work was supported by the National Natural Science Foundations of China under Grants Nos. 11804308, 11747096, China Postdoctoral Science Foundation under Grant No. 2018T110735, and Basal Research Fund under Grant No. 02060022120009.

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Zhao Jin [email protected] S.-L. Su [email protected]

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College of Sciences, Northeastern University, Shenyang 110819, China

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Department of Physics, College of Science, Yanbian University, Yanji 133002, Jilin, China

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School of Materials Science and Engineering, State Key Laboratory of Rolling and Automation, Northeastern University, Shenyang 110819, China

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School of Physics, Zhengzhou University, Zhengzhou 450001, China 0123456789().: V,-vol

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1 Introduction Dissipation tends to increase the entropy of a system, which is detrimental to establishing quantum correlations because irreversible interactions of quantum systems with the environment induce strong decoherence. A variety of solutions to this problem have been proposed using error-correction [1–5] or prevention mechanisms [6–8]. These strategies for combating decoherence are mainly limited by the large amount of extra resources they require [9]. Researchers have recently begun to focus on a new paradigm for thinking about the function of dissipation in quantum systems. Against conventional wisdom about quantum mechanics, we are now realizing that dissipation can be a powerful tool for steering the dynamics of complex quantum systems. Quantum-reservoir engineering methods have been proposed for universal quantum computing [10], to protect quantum memory [11], and for producing quantum repeaters [12]. Quant