Quantum-control approach to realizing a Toffoli gate in circuit QED
Open accessAbstract
We study the realization of a Toffoli gate with superconducting qubits in a circuit-quantum-electrodynamics setup using quantum-control methods. Starting with optimized piecewise-constant control fields acting on all qubits and typical strengths of $XY$-type coupling between the qubits, we demonstrate that the optimal gate fidelities are affected only slightly by a ``low-pass'' filtering of these fields with the typical cutoff frequencies of microwave driving. Restricting ourselves to the range of control-field amplitudes for which the leakage to the noncomputational states of a physical qubit is heavily suppressed, we theoretically predict that in the absence of decoherence and leakage, within 75 ns a Toffoli gate can be realized with intrinsic fidelities higher than $90%$ while fidelities above $99%$ can be reached in about 140 ns.
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Six CNOT gates are the minimum number needed to construct a Toffoli gate.
“Recently it has been shown that this number (i.e., six) is the minimum number of CNOT gates required in order to construct the Toffoli gate [18].”
From Speed limits for quantum gates in multiqubit systems (2012) · cites this paper as [18]
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- Authors
- Stojanović, V. M., Fedorov, A., Wallraff, A., & Bruder, C.
- Affiliations
- University of Basel (CH)
- ETH Zurich (CH)
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2012-02-13
- Volume
- 85
- Issue
- 5
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2071082440
- Cited by
- 52
- References
- 38
- Citations by year
- 2026: 1 · 2024: 1 · 2023: 2 · 2022: 1 · 2021: 3 · 2020: 3 · 2019: 1 · 2018: 3 · 2017: 5 · 2016: 7 · 2015: 4 · 2014: 8 · 2013: 7 · 2012: 5
- FWCI
- 7.56
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review B (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Keywords
- Toffoli gate, circuit quantum electrodynamics, superconducting qubits, quantum control, gate fidelity, microwave filtering, leakage control, quantum gates
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