Holonomic quantum computation on microwave photons with all resonant interactions. (23rd June 2016)

• Record Type: Journal Article
• Authors: Dong, Ping; Yu, Long-Bao; Zhou, Jian
• Is Part Of: Laser physics letters. Volume 13:Number 8(2016:Aug.)
• Publication Date: 2016-06-23
• Subjects: holonomic quantum computation -- resonate interaction -- decoherence-free subspace -- superconducting circuits; Lasers -- Periodicals; Physics -- Periodicals; 621.366
• DOI: 10.1088/1612-2011/13/8/085201
• Languages: English
• ISSNs: 1612-2011

Abstract

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.