One-step implementation of a deterministic SWAP gate via a shortcut to adiabatic passage

Zhang, Chunyu; Lu, Mingxia; Luo, Cheng-Li; Liu, Wenwu

doi:10.1088/1612-202x/aaf8a1

Cited by 5 publications

(5 citation statements)

References 129 publications

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“…In addition, NGQC can cooperate with a lot of quantum control methods, e.g. reverse engineering [68][69][70][71][72][73] and optimal control [74][75][76][77][78][79]. Therefore, the robustness of NGQC against errors can be further enhanced by combining proper quantum control methods [80][81][82].…”

Section: Introductionmentioning

confidence: 99%

Nonadiabatic geometric quantum computation of W-state codes using invariant-based reverse engineering

Wang¹,

Ni²,

Chen³

et al. 2022

Laser Phys. Lett.

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In this paper, we propose a protocol to realize nonadiabatic geometric quantum computation (NGQC)of W-state codes in a spin system using invariant-based reverse engineering. The Heisenberg XY interaction of spin qubits provides a two-dimensional computational subspace spanned by a pair of W states. By applying a time-dependent magnetic on the spin qubits, we realize the effective Pauli operations for the computational subspace. Assisted by the invariant-based reverse engineering, the waveform of the control field is designed and the evolution paths for the NGQC is found. The performance of the protocol under the influence of experimental imperfections is estimated by the numerical simulations with available parameters. The results demonstrate that the protocol is robust against systematic error, random noise and decoherence. Therefore, the protocol may be promising to implement fast and robust manipulation of W states in spin systems.

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Section: Introductionmentioning

confidence: 99%

Nonadiabatic geometric quantum computation of W-state codes using invariant-based reverse engineering

Wang¹,

Ni²,

Chen³

et al. 2022

Laser Phys. Lett.

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“…[37][38][39][40][41][42][43] As an interesting research direction, quantum manipulations of state swap and entanglement creation with superconducting qubits are highly desirable to scalable quantum information processing. [44][45][46] However, in the presence of dissipation and decoherence effects, one of the major obstacles to practical information processing is the difficulty of maintaining the high fidelities of quantum operations when many qubits are addressed together. Compared with adiabatic counterparts, the shortcutbased operations not only remain the high insensitivity to variable imperfections and timing errors, but typically require much shorter duration times.…”

Section: Introductionmentioning

confidence: 99%

Two‐Qubit State Swap and Entanglement Creation in a Superconducting Circuit QED via Counterdiabatic Drivings

Yan

Feng

2020

Adv Quantum Tech

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Optimal coherent control of many qubits is critical to quantum information processing. Here, an efficient scheme is proposed for implementing state swap and creating an entanglement with two superconducting qubits in a circuit quantum electrodynamics (QED). Two qutrits of Cooper‐pair box (CPB) circuits are placed into a cavity field and are driven by individual classical microwaves. In the two‐photon resonance with a large detuning, each CPB is reduced into a qubit effectively. Within a composite system composed of qubit states and cavity photons, two‐qubit state swap and entanglement can be fast obtained using the technique of shortcuts to adiabaticity with counterdiabatic drivings. Benefited from the shorter duration times and less sensitivity to timing errors and parameter imperfections, high‐fidelity quantum operations can be performed with the accessible decoherence rates. The present protocol could offer a feasible route towards optimized operations on superconducting qubits in a circuit QED.

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“…Lately this technique has been reviewed with regard to its concepts, methods, and applications in various fields [29]. In the past several years, STAP has been already used widely in fast creating diverse quantum states [30][31][32][33][34][35][36][37][38][39][40][41] and quantum gates [42][43][44][45][46][47][48][49].…”

Section: Introductionmentioning

confidence: 99%

“…Compared with recent SWAP-gate schemes [44,49,[51][52][53], this work has the following advantages. (i) Different from [51,52] in which the photons in cavities act as qubits, here the binary quantum information is stored in the atomic ground states that have very long coherent time.…”

Section: Introductionmentioning

confidence: 99%

“…The STAP scheme [44] is executed in three steps and needs five-level atoms, while an extra fourlevel auxiliary atom is needed for the nonadiabatic scheme [53]. (iii) The excited states of two atoms are hardly populated due to the large detuning, which enables the scheme more robust to the atomic spontaneous radiation in comparison with the scheme [49]. In addition, we simulate the resilience of the fidelity of performing the SWAP gate against errors in various control parameters and decoherence induced by the atomic spontaneous radiation and decay of the fiber-cavity system, and the results indicate that a high-fidelity SWAP gate can be achieved.…”

Section: Introductionmentioning

confidence: 99%

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Robust SWAP gate on two distant atoms through virtual excitations and transitionless quantum driving

Zhang

Ding

et al. 2020

Laser Phys. Lett.

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We propose a scheme for implementing robust SWAP gate on two distant atoms that are confined in two spatially separated single-mode optical cavities connected by an optical fiber. The SWAP gate cannot be attained by using adiabatic passage for such a physical model, but we achieve it by following transitionless quantum driving, a method of shortcuts to adiabatic passage. In addition, during the execution of the SWAP gate, none of two atoms, two cavities and the fiber is excited, and thus the virtual excitations of the fiber-cavity-atom system make the scheme very robust against the atomic spontaneous radiation and the decay of the cavities and the fiber. Numerical simulations show that the SWAP gate can be attained with high fidelity, and the present scheme is insensitive to the control errors of various parameters. The scheme may have potential applications in distributed quantum computing and quantum information process in a quantum network.

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One-step implementation of a deterministic SWAP gate via a shortcut to adiabatic passage

Cited by 5 publications

References 129 publications

Nonadiabatic geometric quantum computation of W-state codes using invariant-based reverse engineering

Nonadiabatic geometric quantum computation of W-state codes using invariant-based reverse engineering

Two‐Qubit State Swap and Entanglement Creation in a Superconducting Circuit QED via Counterdiabatic Drivings

Robust SWAP gate on two distant atoms through virtual excitations and transitionless quantum driving

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