Photonic realization of nonlocal memory effects and non-Markovian quantum probes

Liu, Bi-Heng; Cao, Dong-Yang; Huang, Yun‐Feng; Li, Chuan‐Feng; Guo, Guang‐Can; Laine, Elsi-Mari; Breuer, Heinz‐Peter; Piilo, Jyrki

doi:10.1038/srep01781

Cited by 89 publications

(59 citation statements)

References 21 publications

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“…To confirm this supposition and study how the memory effects of the environment affect the RDJA, we measured the non-Markovianity of the quantum system by employing the trace distance method, 29,31,44 which is given by…”

Section: Resultsmentioning

confidence: 99%

“…31,44 In the future, the electron spin of the NV center could be used to address some fundamental physical questions, 28 such as the mathematical structure of the geometric space of non-Markovian quantum dynamical maps, the relevance of non-Markovianity in the study of the border between classical and quantum aspects of nature, and the use of non-Markovian quantum probes to detect nonlocal initial correlations in composite environments. Ultimately, with a deep understanding of and perfect control over the environment, the performance of QIP in solid-state system can be further improved.…”

Section: Discussionmentioning

confidence: 99%

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

et al. 2018

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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 highfidelity refined Deutsch-Jozsa algorithm (RDJA) with a solid spin in diamond. The memory effects can induce pronounced nonmonotonic 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.npj Quantum Information (2018) 4:3 ; doi:10.1038/s41534-017-0053-z INTRODUCTION Based on quantum phenomena, such as superposition, correlation and entanglement, quantum information processing (QIP) has provided great advantages over its classical counterpart 1-3 in efficient algorithms, 4,5 secure communication, 6,7 and highprecision metrology. [8][9][10][11][12][13][14][15][16] However, quantum superposition and correlation are fragile in an open quantum system. Notorious decoherence, [17][18][19] which is caused by interactions with noisy environments, is a major hurdle in the realization of fault-tolerant coherent operation 20,21 and scalable quantum computation. To further expand the implementation of QIP in open quantum systems, full understanding and control of environmental interactions are required. 17,[22][23][24] Many techniques have been developed to address this issue, including decoherence-free subspaces, 25 dynamical decoupling (DD) 13,26 and the geometric approach. 27 However, actively utilizing the environmental interactions would represent a significant achievement, compared with passively shielding them.Usually, the interaction of an open quantum system with a noisy environment exhibits memory-less dynamics with an irreversible loss of quantum coherence, that can be described by the Born-Markov approximation. 28 However, because of strong system-environment couplings, structured or finite reservoirs, low temperatures, or large initial system-environment correlations, the dynamics of an open quantum system may deviate substantially from the Born-Markov approximation and follow a non-Markovian process. [28][29][30][31][32] In such a process, the pronounced memory effect, which is the primary feature of a non-Markovian environment, can be used to revive the genuine quantum properties, 28-34 such as quantum coherence and correlations. Consequently, improving the performance of QIP by utilizing memo...

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Section: Resultsmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

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

et al. 2018

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“…Furthermore, for a bipartite open system where each subsystem locally interacts with a subsystem of a composite environment, the initial correlations between the subsystems of the environment can lead to * Corresponding author: nban@iop.vast.ac.vn non-Markovian behavior of the total open system, although the local dynamics of both subsystems of the system are Markovian [25]. Subsequently, an experimental demonstration of that phenomenon has also been achieved by using a photonic open system [26]. Although the unconventional mechanisms are few, there are still unknown strategies that would induce non-Markovian dynamics of an open quantum system.…”

Section: Introductionmentioning

confidence: 99%

Non-Markovianity of a two-level system transversally coupled to multiple bosonic reservoirs

Man

Xia

2014

Phys. Rev. A

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Dynamics of a two-level open system transversally coupled to a single zero-temperature bosonic reservoir may be Markovian or non-Markovian, depending on whether the system-reservoir coupling is weak or strong. In this paper, we show that when the system is simultaneously coupled to N reservoirs its dynamics is always non-Markovian, provided that N N cr , with N cr a critical number depending on the reservoirs' parameters. Quantitatively, the non-Markovianity N is shown proportional to the number of contributed reservoirs. We explain our results in terms of the pseudomode theory, finding out that when N N cr the pseudomodes of all the reservoirs can always partially return information back to the system, no matter how strong the couplings between the system and each individual reservoir.

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“…The assumption of independent environments may be much restrictive in realistic experiments. The initial correlations between environments have been studied in the electromagnetic field [24][25][26]. Interestingly, it has been shown that initial environmental correlations can be used as a new resource for bringing memory effects in the dynamics of open quantum systems [24] and can induce correlations between the initially uncorrelated atoms [25].…”

Section: Introductionmentioning

confidence: 99%

“…Interestingly, it has been shown that initial environmental correlations can be used as a new resource for bringing memory effects in the dynamics of open quantum systems [24] and can induce correlations between the initially uncorrelated atoms [25]. Moreover, it has been verified experimentally that the information initially held in the environment can induce nonlocal memory effects in a photonic open system [26]. So we are very interested in what effects will be performed on the entanglement dynamics of the spin systems if there are initial environmental correlations.…”

Section: Introductionmentioning

confidence: 99%

Entanglement Dynamics of Two Spins in Initially Correlated Wheel-Shaped Spin Baths

et al. 2015

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We study the effects of the initial correlations in environment on the entanglement dynamics of spin system. The correlated environment is novelly simulated by two correlated wheel-shaped spin baths, each consisting of an intermediate spin interacting with a spin-ring. The correlations in environment are achieved by the entanglement between two intermediate spins. The spin system includes two system-spins, and the interaction between the spin system and the environment is implemented by the coupling between the systemspin and the intermediate spin. Firstly, we analyze the influences of the initial entanglement between the two intermediate spins, the coupling parameters and the temperature of the baths on the entanglement dynamics of the two system-spins in equivalent subsystems. It is demonstrated that the initial entanglement between the baths can act as a resource for the generation and the revivals of the entanglement of the system-spins. Moreover, the amount of the generation and the revivals of the entanglement of the system-spins can be enhanced by regulating the coupling constants and the temperature of the baths. In addition, we also investigate the influences of different coupling ratios in non-equivalent subsystems, it is found that changing the coupling ratios of two subsystems has a significant effect on the generation and revivals of entanglement of system-spins.

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Photonic realization of nonlocal memory effects and non-Markovian quantum probes

Cited by 89 publications

References 21 publications

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

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

Non-Markovianity of a two-level system transversally coupled to multiple bosonic reservoirs

Entanglement Dynamics of Two Spins in Initially Correlated Wheel-Shaped Spin Baths

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