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arXiv:1605.05449 · Physical Review A

Holonomic quantum computation in the ultrastrong-coupling regime of circuit QED

Yimin Wang, Jiang Zhang, Chunfeng Wu, J. Q. You, G. Romero

Published Jul 18, 2016• 88 citations
arXivHTMLPDF

Abstract

We present an experimentally feasible scheme to implement holonomic quantum computation in the ultrastrong-coupling regime of light-matter interaction. The large anharmonicity and the ${\mathbb{Z}}_{2}$ symmetry of the quantum Rabi model allow us to build an effective three-level $\mathrm{\ensuremath{\Lambda}}$-structured artificial atom for quantum computation. The proposed physical implementation includes two gradiometric flux qubits and two microwave resonators where single-qubit gates are realized by a two-tone driving on one physical qubit, and a two-qubit gate is achieved with a time-dependent coupling between the field quadratures of both resonators. Our work paves the way for scalable holonomic quantum computation in ultrastrongly coupled systems.

DOI
10.1103/physreva.94.012328

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We present an experimentally feasible scheme to implement holonomic quantum computation in the ultrastrong-coupling regime of light-matter interaction. The large anharmonicity and the Z2{\mathbb{Z}}_{2}Z2​ symmetry of the quantum Rabi model allow us to build an effective three-level \ensuremathΛ\mathrm{\ensuremath{\Lambda}}\ensuremathΛ-structured artificial atom for quantum computation. The proposed physical implementation includes two gradiometric flux qubits and two microwave resonators where single-qubit gates are realized by a two-tone driving on one physical qubit, and a two-qubit gate is achieved with a time-dependent coupling between the field quadratures of both resonators. Our work paves the way for scalable holonomic quantum computation in ultrastrongly coupled systems.
Holonomic quantum computing has attracted much attention in achieving robust and high-fidelity quantum gates owing to its built-in noise-resilience features. Here in this work, we propose an experimentally feasible scheme to realize scalable nonadiabatic non-Abelian holonomic gates in Rabi lattices, where each building block favors ultrastrong coupling and accordingly is portrayed by a quantum Rabi model (QRM). The polariton states with the lowest two energies in the QRM effectively simulate a spin-half system and thus constitute a logical qubit. In contrast to the existing schemes of using ancillary levels, our holonomic operations are performed with the aid of neighboring QRMs acting as ancillary qubits. Employing the two-tone driving scheme onto the physical system, various noncommutable single-qubit and nontrivial two-qubit holonomic gates are applicable on the computational basis, in which all-resonant control is employed and this guarantees fast speed and consequently high fidelities. In addition, our scheme exhibits a unique advantage of being immune to dephasing noises as a result of intrinsic characteristics of the ultrastrong coupling and the QRM. Therefore, this scheme prompts the integration of ultrastrong coupling and geometric properties to mitigate the negative effect of errors and decoherence. Ultimately, holonomic quantum gates incorporated in QRMs with all-resonant control may enable reaching the accuracy threshold for scalable fault-tolerant quantum-information processing within and beyond the ultrastrong couping regime.
The implementation of holonomic quantum computation in superconducting quantum circuits is challenging due to the general requirement of controllable complicated coupling between multi-level systems. In this Letter, we solve this problem by proposing a scalable circuit QED lattice with simple realization of the universal set of non-adiabatic holonomic quantum computation. Compared with existed proposals, here we can achieve both the single- and two- logical qubit gates in an unprecedented tunable and all-resonant way through a hybrid transmon-transmission-line encoding of the logical qubits in the decoherence-free subspaces. This distinct advantage thus leads to quantum gates with very fast speeds and consequently very high fidelities. Our scheme therefore paves a promising way towards the realization of high fidelity universal holonomic quantum computation.
Circuit quantum electrodynamics, consisting of superconducting artificial atoms coupled to on-chip resonators, represents a prime candidate to implement the scalable quantum computing architecture because of the presence of good tunability and controllability. Furthermore, recent advances have pushed the technology towards the ultrastrong coupling regime of light-matter interaction, where the qubit-resonator coupling strength reaches a considerable fraction of the resonator frequency. Here, we propose a qubit-resonator system operating in that regime, as a quantum memory device and study the storage and retrieval of quantum information in and from the Z(2) parity-protected quantum memory, within experimentally feasible schemes. We are also convinced that our proposal might pave a way to realize a scalable quantum random-access memory due to its fast storage and readout performances.
Circuit quantum electrodynamics, consisting of superconducting artificial atoms coupled to on-chip resonators, represents a prime candidate to implement the scalable quantum computing architecture because of the presence of good tunability and controllability. Furthermore, recent advances have pushed the technology towards the ultrastrong coupling regime of light-matter interaction, where the qubit-resonator coupling strength reaches a considerable fraction of the resonator frequency. Here, we propose a qubit-resonator system operating in that regime, as a quantum memory device and study the storage and retrieval of quantum information in and from the Z2 parity-protected quantum memory, within experimentally feasible schemes. We are also convinced that our proposal might pave a way to realize a scalable quantum random-access memory due to its fast storage and readout performances.
Abstract The intrinsic difficulties of holonomic quantum computation on superconducting circuits are originated from the use of three levels in superconducting transmon qubits and the complicated dispersive interaction between them. Due to the limited anharmonicity of transmon qubits, the experimental realization seems to be very challenging. However, with recent experimental progress, coherent control over microwave photons in superconducting circuit cavities is well achieved, and thus provides a promising platform for quantum information processing with photonic qubits. Here, with all resonant inter-cavity photon–photon interactions, we propose a scheme for implementing scalable holonomic quantum computation on a circuit QED lattice. In our proposal, three cavities, connected by a SQUID, are used to encode a logical qubit. By tuning the inter-cavity photon–photon interaction, we can construct all the holonomies needed for universal quantum computation in a non-adiabatic way. Therefore, our scheme presents a promising alternative for robust quantum computation with microwave photons.
The implementation of holonomic quantum computation on superconducting quantum circuits is challenging due to the general requirement of controllable complicated coupling between multilevel systems. Here we solve this problem by proposing a scalable circuit QED lattice with simple realization of a universal set of nonadiabatic holonomic quantum gates. Compared with the existing proposals, we can achieve both the single and two logical qubit gates in a tunable and all-resonant way through a hybrid transmon--transmission-line encoding of the logical qubits in the decoherence-free subspaces. This distinct advantage thus leads to quantum gates with very fast speeds and consequently very high fidelities. Therefore, our scheme paves a promising way towards the practical realization of high-fidelity nonadiabatic holonomic quantum computation.