Engineering Strong Beamsplitter Interaction between Bosonic Modes via Quantum Optimal Control Theory

• URL: http://arxiv.org/abs/2111.15573v2
• Date: Wed, 20 Apr 2022 16:12:15 GMT
• Title: Engineering Strong Beamsplitter Interaction between Bosonic Modes via Quantum Optimal Control Theory
• Authors: Daniel Basilewitsch, Yaxing Zhang, S. M. Girvin, Christiane P. Koch
• Abstract summary: We show how quantum optimal control theory can be used to improve the beamsplitter interaction between two cavities. We find that replacing the two-tone protocol by a three-tone protocol accelerates the effective beamsplitter rate. We show how to further improve the three-tone protocol via gradient-based optimization while keeping the optimized drives experimentally feasible.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In continuous-variable quantum computing with qubits encoded in the infinite-dimensional Hilbert space of bosonic modes, it is a difficult task to realize strong and on-demand interactions between the qubits. One option is to engineer a beamsplitter interaction for photons in two superconducting cavities by driving an intermediate superconducting circuit with two continuous-wave drives, as demonstrated in a recent experiment. Here, we show how quantum optimal control theory (OCT) can be used in a systematic way to improve the beamsplitter interaction between the two cavities. We find that replacing the two-tone protocol by a three-tone protocol accelerates the effective beamsplitter rate between the two cavities. The third tone's amplitude and frequency are determined by gradient-free optimization and make use of cavity-transmon sideband couplings. We show how to further improve the three-tone protocol via gradient-based optimization while keeping the optimized drives experimentally feasible. Our work exemplifies how to use OCT to systematically improve practical protocols in quantum information applications.

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