Fast Holonomic Quantum Computation on Superconducting Circuits With Optimal Control

Cavity optomechanical systems converting quantum state between photons facilitate the development of scalable quantum information processors. The control of state transfer in such systems require producing fast and robust transfer to the target state with high fidelity. Shortcuts to adiabaticity (STA) has recently been proved a powerful method for performing fast quantum state conversion in optomechanical systems, which is, however, not robust enough against deviations in control parameters. Here a scheme to realize robust photon state transfer in a universal cavity optomechanical system by combining STA with optimal control technique (OCT) is proposed. Minimizing systematic error sensitivities with adjustable optimization parameters allows to control simultaneously the transfer speed, fidelity, and robustness against errors. Numerical results show that the optimized scheme is insensitive to deviations in optomechanical coupling and frequency detuning over a broad range. The effects of dissipation on the transfer fidelity are also examined for practical implementation of the scheme in realistic scenarios.

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“…[ 57–61 ] In addition, the OCT has also been demonstrated versatile for implementing robust quantum gates. [ 62–67 ]…”

Section: Introductionmentioning

confidence: 99%

Optimal Control for Robust Photon State Transfer in Optomechanical Systems

Wang

Feng

et al. 2021

Annalen der Physik

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“…Until now, IHE has been widely devoted to achieve a short‐time adiabatic‐like evolution and applied in entanglement generation, [ 50 ] population transfer, [ 51 ] and quantum gate implementation. [ 52–55 ]…”

Section: Introductionmentioning

confidence: 99%

Accelerated and Robust Generation of W State by Parametric Amplification and Inverse Hamiltonian Engineering

et al. 2020

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A scheme to realize the accelerated and robust generation of W state in a cavity quantum electrodynamics (QED) system by combining parametric amplification (PA) with inverse Hamiltonian engineering (IHE) is proposed. The atom‐cavity coupling strength can be exponentially enhanced via parametrically squeezing the cavity mode, which facilitates the generation of W state. Moreover, the evolution of the system can be optimized with suppressing the populations of the intermediate states. Numerical simulations show that the scheme is fast and high‐fidelity, immune to systematic parameter deviations, robust against spontaneous emission of atoms, and decay of cavities. Therefore, this scheme may provide some useful applications in entanglement generation.

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“…Superconducting solid-state quantum circuits are easily affected by the environmental noises and by the fluctuations of control variables, [25][26][27] which are detrimental to robust quantum operations. Some novel strategies for fighting against decoherence effects have been put forward, such as dynamical decoupling, [28] geometric phase operation, [29] optimal working point, [30,31] and topological protection. [32] Particularly, fast quantum operations in short duration times can mitigate noise effects greatly.…”

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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Fast Holonomic Quantum Computation on Superconducting Circuits With Optimal Control

Cited by 60 publications

References 73 publications

Optimal Control for Robust Photon State Transfer in Optomechanical Systems

Optimal Control for Robust Photon State Transfer in Optomechanical Systems

Accelerated and Robust Generation of W State by Parametric Amplification and Inverse Hamiltonian Engineering

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

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