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Non-Markovianity-assisted high-fidelity Deutsch–Jozsa algorithm in diamond

Yang Dong, Yu Zheng, Shen Li, Cong-Cong Li, Xiang‐Dong Chen, G. Guo, F. Sun·January 22, 2018·DOI: 10.1038/s41534-017-0053-z
Computer SciencePhysics

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Abstract

The memory effects in non-Markovian quantum dynamics can induce the revival of quantum coherence, which is believed to provide important physical resources for quantum information processing (QIP). However, no real quantum algorithms have been demonstrated with the help of such memory effects. Here, we experimentally implemented a non-Markovianity-assisted high-fidelity refined Deutsch–Jozsa algorithm (RDJA) with a solid spin in diamond. The memory effects can induce pronounced non-monotonic variations in the RDJA results, which were confirmed to follow a non-Markovian quantum process by measuring the non-Markovianity of the spin system. By applying the memory effects as physical resources with the assistance of dynamical decoupling, the probability of success of RDJA was elevated above 97% in the open quantum system. This study not only demonstrates that the non-Markovianity is an important physical resource but also presents a feasible way to employ this physical resource. It will stimulate the application of the memory effects in non-Markovian quantum dynamics to improve the performance of practical QIP.Non-Markovianity: an important quantum resourceScientists have successfully applied the non-Markovianity of environment as an important quantum resource to improve the performance of quantum information processing. Quantum system unavoidably suffers from notorious decoherence, which is a primary hurdle for wide applications of quantum information techniques in realistic quantum system. Unlike to passively shield the decoherence, a team led by Fang-Wen Sun at University of Science and Technology of China actively utilized the memory effect of a non-Markovian environment, a typical quantum decoherence environment, to revive quantum coherence and correlation and to improve the fidelity of quantum Deutsch-Jozsa algorithm in a diamond nitrogen-vacancy center. This study not only demonstrates that the non-Markovianity is an important quantum resource but also presents a feasible way to employ this physical resource for quantum information techniques.

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