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Fast adiabatic qubit gates using onlyσzcontrol
Open accessAbstract
A controlled-phase gate was demonstrated in superconducting Xmon transmon qubits with fidelity reaching 99.4%, relying on the adiabatic interaction between the $|11\ensuremath{\rangle}$ and $|02\ensuremath{\rangle}$ states. Here we explain the theoretical concepts behind this protocol, which achieves fast gate times with only ${\ensuremath{\sigma}}_{z}$ control of the Hamiltonian, based on a theory of nonlinear mapping of state errors to a power spectral density and use of optimal window functions. With a solution given in the Fourier basis, optimization is shown to be straightforward for practical cases of an arbitrary state change and finite bandwidth of control signals. We find that errors below ${10}^{\ensuremath{-}4}$ are readily achievable for realistic control wave forms.
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Superconducting quantum circuits at the surface code threshold for fault tolerance
Barends, R., Kelly, J., Megrant, A., Veitia, A., Sank, D., Jeffrey, E., White, T. C., Mutus, J., Fowler, A. G., Campbell, B., et al. (2014) · Nature · doi:10.1038/nature13171 · Cited by 1,733
Self-citationQuantum search by local adiabatic evolution
Roland, J., & Cerf, N. J. (2002) · Physical Review A · doi:10.1103/physreva.65.042308 · Cited by 629
Bason, M. G., Viteau, M., Malossi, N., Huillery, P., Arimondo, E., Ciampini, D., Fazio, R., Giovannetti, V., Mannella, R., & Morsch, O. (2012) · Nature Physics · doi:10.1038/nphys2170 · Cited by 462
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Guéry-Odelin, D., Ruschhaupt, A., Kiely, A., Torrontegui, E., Martínez-Garaot, S., & Muga, J. G. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.045001 · Cited by 1,045
Qubit Architecture with High Coherence and Fast Tunable Coupling
Chen, Y., Neill, C., Roushan, P., Leung, N., Fang, M., Barends, R., Kelly, J., Campbell, B., Chen, Z., Chiaro, B., et al. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.220502 · Cited by 584
Self-citationQuantum logic with spin qubits crossing the surface code threshold
Xue, X., Russ, M., Samkharadze, N., Undseth, B., Sammak, A., Scappucci, G., & Vandersypen, L. M. K. (2022) · Nature · doi:10.1038/s41586-021-04273-w · Cited by 524
Qudits and High-Dimensional Quantum Computing
Wang, Y., Hu, Z., Sanders, B. C., & Kais, S. (2020) · Frontiers in Physics · doi:10.3389/fphy.2020.589504 · Cited by 478
A blueprint for demonstrating quantum supremacy with superconducting qubits
Neill, C., Roushan, P., Kechedzhi, K., Boixo, S., Isakov, S. V., Smelyanskiy, V., Megrant, A., Chiaro, B., Dunsworth, A., Arya, K., et al. (2018) · Science · doi:10.1126/science.aao4309 · Cited by 458
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Metadata
- Authors
- Martinis, J. M., & Geller, M. R.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2014-08-08
- Volume
- 90
- Issue
- 2
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W1572231799
- Cited by
- 195
- References
- 3
- FWCI
- 10.23
- Type
- journal article
- Language
- en
- Open access
- green
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