Direct Measurement of Topological Numbers with Spins in Diamond

Kong, Fei; Ju, Chenyong; Liu, Ying; Lei, Chao; Wang, Mengqi; Kong, Xinggong; Wang, Pengfei; Huang, Pu; Li, Zhaokai; Shi, Fazhan; Jiang, Liang; Du, Jiangfeng

doi:10.1103/physrevlett.117.060503

Cited by 39 publications

(25 citation statements)

References 37 publications

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“…Among the solid-state spins, the diamond nitrogen vacancy center (NVC) are particularly attractive, owing to extremely long electronic and nuclear spin lifetimes, well qubit readout, fast initialization as well as robust optical interface [1][2][3][4][5][6] . Until now, several hallmark demonstrations on the entanglement between NVCs have been achieved experimentally using the method of magnetic dipolar coupling [7], strong nonclassical correlations between Raman-scattered photons [8], entanglement swapping [9,10], and projective measurements [11,12], respectively.…”

Section: Introductionmentioning

confidence: 99%

Floquet engineering to entanglement protection of distant nitrogen vacancy centers

Yang

Song

et al. 2019

New J. Phys.

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It remains challenging to preserve entanglement between distant solid-state qubits with high-fidelity, such as nitrogen vacancy centers (NVCs). We propose a Floquet engineering strategy to protect the maximal entanglement between two weakly interacting NVCs separated in long spatial distance by locally applying periodic strong driving on the NVCs. It is found that entanglement of the Floquet states of the NVCs resonantly reaches its maximum during the whole driving period at certain values of the driving parameters. Our analysis reveals that it is the occurrence of the avoided level crossing in the Floquet quasienergy spectrum which results in such entanglement resonance. The dissipation effect on the generated entanglement has also been analyzed. Our results may be of both theoretical and experimental interests in exploring the long-lasting entanglement between weakly interacting spins to long distances in realistic environments.

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Section: Introductionmentioning

confidence: 99%

Floquet engineering to entanglement protection of distant nitrogen vacancy centers

Yang

Song

et al. 2019

New J. Phys.

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“…The spin qubits of NV − center can be optically initialized and read out [7] and has a long spin-coherence time up to milliseconds even at room temperature [8,9]. Meanwhile, many quantum gates [10,11], algorithms [12,13] and simulations [14] have been demonstrated on NV scheme as well. Recently, NV − center has been used to detect AC magnetic fields [15], magnetic noises [16] and single nuclear spins [17] via dynamical decoupling.…”

Section: Introductionmentioning

confidence: 99%

Entanglement distribution in star network based on spin chain in diamond

Zhu

2018

Physics Letters A

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Since star network of spins was proposed, generating entanglement directly through spin interactions between distant parties became much possible. We propose an architecture which involves coupled spin chains based on nitrogen-vacancy centers and nitrogen defect spins to expand star network, the numerical analysis shows that the length of spin chains M and spin noise can determine the maximally achievable entanglement Em. The entanglement capability of this configuration under effect of disorder and spin loss is also studied. Moreover, it is shown that with this kind of architecture, star network of spins is feasible in measurement of magnetic-field gradient. INTRODUCTION.

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“…For example, |01 denotes the |m s = 0, m I = 0 state. In order to construct the adiabatic evolution Hamiltonian, a similar quantum simulation approach proposed in Ref [14] can be adopted here. By simultaneously applying RF and MW driving, the system Hamiltonian was transformed to [29] …”

Section: Fig 2 (Color Online)mentioning

confidence: 99%

“…Many quantum gates [6-9], quantum algorithms [10], quantum error corrections [11,12] and quantum simulations [13,14] have been demonstrated on it. However, so far no adiabatic quantum algorithm has been realized on this system.…”

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Experimental Adiabatic Quantum Factorization under Ambient Conditions Based on a Solid-State Single Spin System

Xie

et al. 2017

Phys. Rev. Lett.

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The adiabatic quantum computation is a universal and robust method of quantum computing. In this architecture, the problem can be solved by adiabatically evolving the quantum processor from the ground state of a simple initial Hamiltonian to that of a final one, which encodes the solution of the problem. By far, there is no experimental realization of adiabatic quantum computation on a single solid spin system under ambient conditions, which has been proved to be a compatible candidate for scalable quantum computation. In this letter, we report on the first experimental realization of an adiabatic quantum algorithm on a single solid spin system under ambient conditions. All elements of adiabatic quantum computation, including initial state preparation, adiabatic evolution, and final state readout, are realized experimentally. As an example, we factored 35 into its prime factors 5 and 7 on our adiabatic quantum processor.The nitrogen-vacancy (NV) center in diamond is an excellent quantum processor and quantum sensor at room temperature [1].The spin qubits of NV center are promising for quantum information processing due to fast resonant spin manipulation [2], long coherence time [3,4], easy initialization and read-out by laser illumination [5]. Many quantum gates [6-9], quantum algorithms [10], quantum error corrections [11,12] and quantum simulations [13,14] have been demonstrated on it. However, so far no adiabatic quantum algorithm has been realized on this system. In circuit-model quantum computation, the computational process is implemented by a sequence of quantum gates. In 2000, Farhi et al.[15] developed another architecture of quantum computation, i.e., the adiabatic quantum computing (AQC), in which the computational process can be realized through the adiabatic evolution of a system's Hamiltonian, and it is proved to be equivalent to circuit model quantum computing [16].In contrast to multiplying of large prime numbers, up to now, no efficient classical algorithm for the factorization of large number is known [17]. Previously, many experimental work on large number factorization have been done based on Shor's algorithm [18][19][20][21][22][23][24]. To demonstrate the AQC on the room temperature single spin system, we take 35 as an example and factored it on the adiabatic quantum processor. The core idea used here is to transform a factorization problem to an optimization problem and solve it under the AQC framework [25,26].Generally, to solve a problem under the AQC framework, first we need to find a problem Hamiltonian H p , and the solution of the problem is encoded in the ground state of H p . We start from the ground state of H 0 and the Hamiltonian of the evolution progress is H(t) =(1 − s(t))H 0 + s(t)H p , s(0) = 0, s(T ) = 1.(1)Where T is the total evolution time, and the whole system is governed by the Schrödinger equation

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Direct Measurement of Topological Numbers with Spins in Diamond

Abstract: Topological numbers can characterize the transition between different topological phases, which are not described by Landau's paradigm of symmetry breaking. Since the discovery of quantum Hall effect, more topological phases have been theoretically predicted and experimentally verified.

Cited by 39 publications

References 37 publications

Floquet engineering to entanglement protection of distant nitrogen vacancy centers

Floquet engineering to entanglement protection of distant nitrogen vacancy centers

Entanglement distribution in star network based on spin chain in diamond

Experimental Adiabatic Quantum Factorization under Ambient Conditions Based on a Solid-State Single Spin System

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