Deterministic interconversions between the Greenberger-Horne-Zeilinger states and the 
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 states by invariant-based pulse design

Zheng, Ri‐Hua; Kang, Yi‐Hao; Ran, Du; Shi, Zhi‐Cheng; Yan, Xin

doi:10.1103/physreva.101.012345

Cited by 42 publications

(15 citation statements)

References 49 publications

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“…Multiparticle entanglement has attracted great attention for its diverse applications in quantum metrology and quantum computing [1][2][3][4][5][6][7][8][9][10]. Efforts along this direction have lead to a plenty of proposals for generating entangled states with particles as many as possible [11][12][13], such as spin squeezing states [14][15][16] and GHZ states [17][18][19][20]. So far, multiparticle entanglement has been realized involving up to 20 qubits in trapped-ion systems [21], and 12 qubits in superconducting circuits [22].…”

Section: Introductionmentioning

confidence: 99%

Phononic-waveguide-assisted steady-state entanglement of silicon-vacancy centers

Qiao

Dong

et al. 2020

Phys. Rev. A

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Multiparticle entanglement is of great significance for quantum metrology and quantum information processing. We here present an efficient scheme to generate stable multiparticle entanglement in a solid state setup, where an array of silicon-vacancy centers are embedded in a quasi-onedimensional acoustic diamond waveguide. In this scheme, the continuum of phonon modes induces a controllable dissipative coupling among the SiV centers. We show that, by an appropriate choice of the distance between the SiV centers, the dipole-dipole interactions can be switched off due to destructive interferences, thus realizing a Dicke superradiance model. This gives rise to an entangled steady state of SiV centers with high fidelities. The protocol provides a feasible setup for the generation of multiparticle entanglement in a solid state system.

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Section: Introductionmentioning

confidence: 99%

Phononic-waveguide-assisted steady-state entanglement of silicon-vacancy centers

Qiao

Dong

et al. 2020

Phys. Rev. A

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“…Therefore, NHQC can reduce the influence of decoherence to the unitary operations by shortening the operation time. In addition, recent works [33][34][35][36][37] have indicated that NHQC is compatible with a lot of control and optimal methods, such as reverse engineering [38][39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54] and the systematic-error-sensitivity nullified optimal control method [55][56][57][58][59][60]. By using proper control methods in NHQC, robustness against systematic errors can be significantly enhanced.…”

Section: Introductionmentioning

confidence: 99%

Effective non-adiabatic holonomic quantum computation of cavity modes via invariant-based reverse engineering

Kang

Shi

Song

et al. 2022

Phil. Trans. R. Soc. A.

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In this paper, we propose a protocol to realize non-adiabatic holonomic quantum computation (NHQC) of cavity modes via invariant-based reverse engineering. Coupling cavity modes with an auxiliary atom trapped in a cavity, we derive effective Hamiltonians with the help of laser pulses. Based on the derived Hamiltonians, invariant-based reverse engineering is used to find proper evolution paths for NHQC. Moreover, the systematic-error-sensitivity nullified optimal control method is considered in the parameter selections, making the protocol insensitive to the influence of systematic errors of pulses. We also estimate the imperfections induced by random noise and decoherence. Numerical results show that the protocol holds robustness against these imperfections. Therefore, the protocol may provide useful perspectives to quantum computation with optical qubits in cavity quantum electrodynamics systems. This article is part of the theme issue ‘Shortcuts to adiabaticity: theoretical, experimental and interdisciplinary perspectives’.

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“…To date, many NHQC+ schemes have been put forward in different physical systems, for example, superconducting circuit [28][29][30], spin qubits [31,32], and Rydberg atoms [33][34][35][36]. The Rydberg atom system is one promising candidate platform for physical implementation of quantum computing due to its long coherence time and strong interatomic interaction [37][38][39][40][41][42][43][44][45][46][47][48][49][50][51]. In Rydberg atom systems, the most representative phenomenon is Rydberg blockade [52,53].…”

Section: Introductionmentioning

confidence: 99%

Optimized nonadiabatic holonomic quantum computation based on Förster resonance in Rydberg atoms

Liu¹,

Shen²,

Zheng³

et al. 2021

Preprint

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In this paper, we propose a scheme for implementing the nonadiabatic holonomic quantum computation (NHQC+) of two Rydberg atoms by using invariant-based reverse engineering (IBRE). The scheme is based on Förster resonance induced by strong dipole-dipole interaction between two Rydberg atoms, which provides a selective coupling mechanism to simply the dynamics of system. Moreover, for improving the fidelity of the scheme, the optimal control method is introduced to enhance the gate robustness against systematic errors. Numerical simulations show the scheme is robust against the random noise in control fields, the deviation of dipole-dipole interaction, the Förster defect, and the spontaneous emission of atoms. Therefore, the scheme may provide some useful perspectives for the realization of quantum computation with Rydberg atoms.

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Deterministic interconversions between the Greenberger-Horne-Zeilinger states and the W states by invariant-based pulse design

Cited by 42 publications

References 49 publications

Phononic-waveguide-assisted steady-state entanglement of silicon-vacancy centers

Phononic-waveguide-assisted steady-state entanglement of silicon-vacancy centers

Effective non-adiabatic holonomic quantum computation of cavity modes via invariant-based reverse engineering

Optimized nonadiabatic holonomic quantum computation based on Förster resonance in Rydberg atoms

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