Fault-tolerant multiqubit geometric entangling gates using photonic cat-state qubits

• URL: http://arxiv.org/abs/2109.04643v5
• Date: Fri, 2 Sep 2022 02:06:22 GMT
• Title: Fault-tolerant multiqubit geometric entangling gates using photonic cat-state qubits
• Authors: Ye-Hong Chen, Roberto Stassi, Wei Qin, Adam Miranowicz, Franco Nori
• Abstract summary: We propose a theoretical protocol to implement multiqubit geometric gates using photonic cat-state qubits. These cat-state qubits are promising for hardware-efficient universal quantum computing.
• Score: 0.8024702830680637
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We propose a theoretical protocol to implement multiqubit geometric gates (i.e., the M{\o}lmer-S{\o}rensen gate) using photonic cat-state qubits. These cat-state qubits stored in high-$Q$ resonators are promising for hardware-efficient universal quantum computing. Specifically, in the limit of strong two-photon drivings, phase-flip errors of the cat-state qubits are effectively suppressed, leaving only a bit-flip error to be corrected. Because this dominant error commutes with the evolution operator, our protocol preserves the error bias, and, thus, can lower the code-capacity threshold for error correction. A geometric evolution guarantees the robustness of the protocol against stochastic noise along the evolution path. Moreover, by changing detunings of the cavity-cavity couplings at a proper time, the protocol can be robust against parameter imperfections (e.g., the total evolution time) without introducing extra noises into the system. As a result, the gate can produce multi-mode entangled cat states in a short time with high fidelities.

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