Preparing multiparticle entangled states of nitrogen-vacancy centers via adiabatic ground-state transitions

Zhou, Yuan; Li, Bo; Li, Xiaoxiao; Li, Fuli; Li, Pengbo

doi:10.1103/physreva.98.052346

Cited by 35 publications

(21 citation statements)

References 122 publications

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“…Color centers in diamond, such as germanium-vacancy (GeV) [37], nitrogen-vacancy (NV) center [38][39][40][41][42] and silicon-vacancy (SiV) center [43][44][45][46], play an important role in quantum science and technology [47][48][49][50][51]. Due to the high controllability and long coherence time [52][53][54][55][56][57][58][59][60], NV centers stand out among all kinds of solid-state systems.…”

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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“…After that, once we connect this nanotube with a tunable DC, we can further obtain another different ground state

| ψ_{-} (n) ⟩

with the maximum entanglement, which corresponds to the magenta dash dot dot line in Figure 2. According to these discussions above, we keep the NV center and the nanotube in the ground state during the dynamic evolution, if we can tune the spin–phonon coupling to increase from 0 to

λ (t) \equiv λ f (t) \propto I (t)

slowly enough, we can maintain the adiabatic conditions

δ E ≫ 1 / τ

49‐52 . In which,

τ

is the characteristic time for this dynamical transfer process, and

δ E \sim E_{+ (-)} - E_{e (g), n (n + 1)}

is the energy gap between the ground state and the excited state.…”

Section: The Basic Physical Mechanismmentioning

confidence: 99%

“…To exhibit the basic physical mechanism more clearly, we first demonstrate this adiabatic evolution process for ideal condition by setting

κ = γ_{g} = 0

, here, the fidelity for the quantum states of the final ground states is expressed as

F_{s} = {⟨ ψ_{\pm} | ρ (t) | ψ_{\pm} ⟩}^{1 / 2}

33,51,53,54 . And plot the comparison of the dynamical fidelity in Figures 3 and 4.…”

Section: Numerical Simulationsmentioning

confidence: 99%

Adiabatic preparation of maximum entanglement in hybrid quantum systems with the Z ₂ symmetry

Yang

Zhou

Lü

et al. 2021

Quantum Engineering

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A simple theoretical scheme with respect to preparing the maximum entanglement of a nitrogen‐vacancy (NV) spin and the quantized nanotubes carried with the tunable direct current is studied in this work. Basing on its inherent ℤ2 symmetry of the general Jaynes–Cummings model in this spin–phonon coupling system, two special adiabatic channels to bridge the initial discrete ground states and the final ground states with the maximum entanglement are discussed. To further supplement this scheme, we also discuss another equivalent and suitable setup, namely the NV spin and surface acoustic wave strong strain coupling scheme. Owing to adiabaticity, this scheme may be considered as an encouraged attempt for preparing the nonclassical state utilizing the systemic symmetry.

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“…To date, GHZ states of 10 or more physical qubits have been experimentally demonstrated in various systems [60][61][62][63][64][65]. Theoretically, a large number of theoretical methods have been presented for creating GHZ states of multiple physical qubits with different kinds of quantum systems [66][67][68][69][70][71][72][73][74][75][76][77][78][79][80]. However, how to prepare GHZ states with logical qubits encoded in DFS has rarely been investigated.…”

Section: Qubits In a Dfsmentioning

confidence: 99%

Implementing a multi-target-qubit controlled-not gate with logical qubits outside a decoherence-free subspace and its application in creating quantum entangled states

Yang

Nori

2020

Phys. Rev. A

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In general, implementing a multi-logical-qubit gate by manipulating quantum states in a decoherence-free subspace (DFS) becomes more complex and difficult when increasing the number of logical qubits. In this work, we propose a novel idea to realize quantum gates by manipulating quantum states outside their DFS but having the states of the logical qubits remain in their DFS before and after the gate operation. This proposal has the following features: (i) Because the states are manipulated outside the DFS, the multi-qubit gate implementation can be simplified when compared to realizing a multiqubit gate via manipulating quantum states within the DFS, which usually requires unitary operations over a large DFS; and (ii) Because the states of the logical qubits return to the DFS after the gate operation, the errors caused by decoherence during the gate operation are not accumulated for a long-running calculation, and the states of the logical qubits are immune to decoherence when they are stored. Based on this proposal, we then present a way for realizing a multi-target-qubit controlled NOT gate using logical qubits encoded in a decoherence-free subspace (DFS) against collective dephasing. This gate is realized by employing qutrits (three-level quantum systems) placed in a cavity or coupled to a resonator. This proposal has the following advantages: (i) The states of the logical qubits return to their DFS after the gate operation; (ii) The gate can be implemented with only a few basic operations; (iii) The gate operation time is independent of the number of logical qubits; (iv) This gate can be deterministically implemented because no measurement is needed; (v) The intermediate higher-energy level for all qutrits is not occupied during the entire operation, thus decoherence from this level is greatly suppressed; and (vi) This proposal is universal and can be applied to realize the proposed gate using natural atoms or artificial atoms (e.g., quantum dots, NV centers, and various superconducting qutrits, etc.) placed in a cavity or coupled to a resonator. As an application, we also show how to apply this gate to create a Greenberger-Horne-Zeilinger (GHZ) entangled state of multiple logical qubits encoded in DFS, and further investigate the experimental feasibility for creating the GHZ state of three logical qubits in the DFS, by using six superconducting transmon qutrits coupled to a one-dimensional coplanar waveguide resonator.

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Preparing multiparticle entangled states of nitrogen-vacancy centers via adiabatic ground-state transitions

Cited by 35 publications

References 122 publications

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

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

Adiabatic preparation of maximum entanglement in hybrid quantum systems with the Z ₂ symmetry

Implementing a multi-target-qubit controlled-not gate with logical qubits outside a decoherence-free subspace and its application in creating quantum entangled states

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Preparing multiparticle entangled states of nitrogen-vacancy centers via adiabatic ground-state transitions

Cited by 35 publications

References 122 publications

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

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

Adiabatic preparation of maximum entanglement in hybrid quantum systems with the Z 2 symmetry

Implementing a multi-target-qubit controlled-not gate with logical qubits outside a decoherence-free subspace and its application in creating quantum entangled states

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Adiabatic preparation of maximum entanglement in hybrid quantum systems with the Z ₂ symmetry