Error-detectable bosonic entangling gates with a noisy ancilla
- URL: http://arxiv.org/abs/2212.11196v1
- Date: Wed, 21 Dec 2022 17:12:20 GMT
- Title: Error-detectable bosonic entangling gates with a noisy ancilla
- Authors: Takahiro Tsunoda, James D. Teoh, William D. Kalfus, Stijn J. de Graaf,
Benjamin J. Chapman, Jacob C. Curtis, Neel Thakur, Steven M. Girvin, Robert
J. Schoelkopf
- Abstract summary: We present a family of error-detectable two-qubit gates for a variety of bosonic encodings.
The gate Hamiltonian is simple to engineer, requiring only a programmable beamsplitter between two bosonic qubits and an ancilla dispersively coupled to one qubit.
We show that this allows one to reach error-detected gate fidelities at the $10-4$ level with today's hardware, limited only by second-order hardware errors.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- 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 $ZZ_L(\theta)$ and $\text{eSWAP}(\theta)$ gates
for the binomial, 4-legged cat, dual-rail and several other bosonic codes. The
gate Hamiltonian is simple to engineer, requiring only a programmable
beamsplitter 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
$10^{-4}$ level with today's hardware, limited only by second-order hardware
errors.
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