Proposed Robust Entanglement-Based Magnetic Field Sensor Beyond the Standard Quantum Limit

Tanaka, Takehide; Knott, P. A.; Matsuzaki, Yuichiro; Dooley, Shane; Yamaguchi, Hiroshi; Munro, William J.; Saito, Shiro

doi:10.1103/physrevlett.115.170801

Cited by 64 publications

(87 citation statements)

References 86 publications

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“…2 with pink area. This result is also better than the previously obtained results [16][17][18], demonstrating the advantages of the protected protocols.…”

Section: High-temperature Limit and The Longitudinal Spin Relaxationcontrasting

confidence: 55%

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Reviving the precision of multiple entangled probes in an open system by simple π -pulse sequences

et al. 2016

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Quantum metrology with entangled states in realistic noisy environments always suffers from decoherence. Therefore, the measurement precision is greatly reduced. Here we applied the dynamical decoupling method to protect the N -qubit quantum metrology protocol and successfully revived the scaling of the measurement precision as N −k with k ∈ [5/6, 11/12]. The degree of the precision revival, as determined by the noise spectrum distribution, indicates that the performance of the protected protocol can be further improved by controlling the noise spectrum. Such a protected protocol is proved to be universal for entanglement-based quantum metrology in the pure dephasing and relaxation noise, which should stimulate the development of practical quantum metrology for weak signal detection of microscopic physics.

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“…2 with pink area. This result is also better than the previously obtained results [16][17][18], demonstrating the advantages of the protected protocols.…”

Section: High-temperature Limit and The Longitudinal Spin Relaxationcontrasting

confidence: 55%

“…It is much better than the presented in Refs. [16][17][18]. The index k, which evaluates the degree of revival of the measurement precision by the DD protection method, is determined by the shape of the noise spectrum, especially its high frequency component.…”

Section: Introductionmentioning

confidence: 99%

Reviving the precision of multiple entangled probes in an open system by simple π -pulse sequences

et al. 2016

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“…Consequently, improving the performance of QIP by utilizing memory effects as important physical resources in the nonMarkovian environment is crucial. 35,36 However, no real quantum algorithms have been demonstrated with the help of such memory effects. Here, we investigated the memory effects of non-Markovian environments using the quantum Deutsch-Jozsa algorithm 37 with a solid spin in a diamond nitrogen-vacancy (NV) center.…”

Section: Introductionmentioning

confidence: 99%

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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“…Such states may be more robust to decoherence than the GHZ state so that their optimal sensing times would be longer and, moreover, it is likely that partially entangled states can be prepared and measured more quickly than GHZ states. Finally, there are various methods that may enhance the metrological gain that can be achieved using the GHZ state such as quantum error correction [23][24][25][26], adaptive feedback schemes [12,[27][28][29], or fast preparation [15,21,30,31] and readout of entangled states. We leave investigation of these as future work.…”

Section: Discussionmentioning

confidence: 99%

Quantum metrology including state preparation and readout times

Dooley

Munro

Nemoto

2017

Quantum Information and Measurement (QIM) 2017

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There is growing belief that the next decade will see the emergence of sensing devices based on the laws of quantum physics that outperform some of our current sensing devices. For example, in frequency estimation, using a probe prepared in an entangled state can, in principle, lead to a precision gain compared to a probe prepared in a separable state. Even in the presence of some forms of decoherence, it has been shown that the precision gain can increase with the number of probe particles N . Usually, however, the entangled and separable state preparation and readout times are assumed to be negligible. We find that a probe in a maximally entangled (GHZ) state can give an advantage over a separable state only if the entangled state preparation and readout times are lower than a certain threshold. When the probe system suffers dephasing, this threshold is much lower (and more difficult to attain) than it is for an isolated probe. Further, we find that in realistic situations the maximally entangled probe gives a precision advantage only up to some finite number of probe particles N cutoff that is lower for a dephasing probe than it is for an isolated probe.

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Proposed Robust Entanglement-Based Magnetic Field Sensor Beyond the Standard Quantum Limit

Cited by 64 publications

References 86 publications

Reviving the precision of multiple entangled probes in an open system by simple π -pulse sequences

Reviving the precision of multiple entangled probes in an open system by simple π -pulse sequences

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

Quantum metrology including state preparation and readout times

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