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• W4382582042 abstract "Bosonic quantum error correction has proven to be a successful approach for extending the coherence of quantum memories, but to execute deep quantum circuits, high-fidelity gates between encoded qubits are needed. To that end, we present a family of error-detectable two-qubit gates for a variety of bosonic encodings. From a new geometric framework based on a “Bloch sphere” of bosonic operators, we construct ZZL(θ) and exponential-swap(θ) gates for the binomial, four-legged cat, dual-rail, and several other bosonic codes. The gate Hamiltonian is simple to engineer, requiring only a programmable beam splitter between two bosonic qubits and an ancilla dispersively coupled to one qubit. This Hamiltonian can be realized in circuit QED hardware with ancilla transmons and microwave cavities. The proposed theoretical framework was developed for circuit QED but is generalizable to any platform that can effectively generate this Hamiltonian. Crucially, one can also detect first-order errors in the ancilla and the bosonic qubits during the gates. We show that this allows one to reach error-detected gate fidelities at the 0.01% level with today’s hardware, limited only by second-order hardware errors.3 MoreReceived 23 December 2022Revised 26 April 2023Accepted 8 May 2023DOI:https://doi.org/10.1103/PRXQuantum.4.020354Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.Published by the American Physical SocietyPhysics Subject Headings (PhySH)Research AreasHarmonic oscillatorOptical quantum information processingQuantum controlQuantum error correctionQuantum gatesQuantum information processing with continuous variablesQuantum information with atoms & lightQuantum information with solid state qubitsQuantum Information" @default.
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• W4382582042 date "2023-06-28" @default.
• W4382582042 modified "2023-10-16" @default.
• W4382582042 title "Error-Detectable Bosonic Entangling Gates with a Noisy Ancilla" @default.
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• W4382582042 doi "https://doi.org/10.1103/prxquantum.4.020354" @default.
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