Self-Correcting Gottesman-Kitaev-Preskill Qubit and Gates in a Driven-Dissipative Circuit
Creators
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1.
University of Copenhagen
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2.
California Institute of Technology
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3.
Amazon (United States)
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4.
University of Chicago
Abstract
We show that a self-correcting Gottesman-Kitaev-Preskill (GKP) qubit can be realized with a high-impedance 𝐿𝐶 circuit coupled to a resistor and a Josephson junction via a controllable switch. When activating the switch in a particular stepwise pattern, the resonator relaxes into a subspace of GKP states that encode a protected qubit. Under continued operation, the resistor dissipatively error corrects the qubit against bit flips and decoherence by absorbing noise-induced entropy. We show that this leads to an exponential enhancement of the coherence time (𝑇1 and 𝑇2), even in the presence of extrinsic noise, imperfect control, and device-parameter variations. We show that the qubit supports exponentially robust single-qubit Clifford gates, implemented via appropriate control of the switch, and readout and/or initialization via supercurrent measurement. The self-correcting properties of the qubit allow it to operate at approximately 1-K temperatures and resonator 𝑄 factors down to approximately 1000 for realistic parameters, and make it amenable to parallel control through global control signals. We discuss how the effects of quasiparticle poisoning—potentially, though not necessarily, a limiting factor—might be mitigated. We finally demonstrate that a related device supports a self-correcting magic 𝑇 gate.
Copyright and License
Published 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.
Acknowledgement
We gratefully acknowledge useful discussions with Philippe Campagne-Ibarcq, Max Geier, Lev-Arcady Sellem, Jacob Hastrup, Luca Banzerus, Karsten Flensberg, Jonathan Conrad, and Dolev Bluvstein. F.N. was supported by the U.S. Department of Energy, Office of Science, Basic Energy Sciences under Award No. DE-SC0019166, the Simons Foundation under Award No. 623768, the Carlsberg Foundation, under Grant No. CF22-0727 and by the Novo Nordisk Foundation, Grant No. NNF22SA0081175, NNF Quantum Computing Programme. G.R. is grateful for support from the Simons Foundation as well as from the National Science Foundation (NSF) Division of Materials Research (DMR) under Grant No. 1839271, and from the Institute for Quantum Information and Matter (IQIM), an NSF Physics Frontiers Center. L.J. acknowledges support from the Army Research Office (ARO) (Grant No. W911NF-23-1-0077), the ARO Multidisciplinary University Research Initiative (MURI) (Grant No. W911NF-21-1-0325), the Air Force Office of Scientific Research (AFOSR) MURI (Grants No. FA9550-19-1-0399, No. FA9550-21-1-0209, and No. FA9550-23-1-0338), the Defense Advanced Research Projects Agency (DARPA) (Grants No. HR0011-24-9-0359 and No. HR0011-24-9-0361), the National Science Foundation (Grants No. OMA-1936118, No. ERC-1941583, No. OMA-2137642, No. OSI-2326767, and No. CCF-2312755), and the Packard Foundation (Grants No. 2020-71479). This work was performed in part at the Aspen Center for Physics, which is supported by NSF Grant No. PHY-1607611. The computations presented here were, in part, conducted in the Resnick High Performance Computing Center, a facility supported by Resnick Sustainability Institute at the California Institute of Technology.
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Additional details
Additional titles
- Alternative title
- Self-correcting GKP qubit and gates in a driven-dissipative circuit
Related works
- Is new version of
- Discussion Paper: arXiv:2405.05671 (arXiv)
Funding
- United States Department of Energy
- DE-SC0019166
- Simons Foundation
- 623768
- Carlsberg Foundation
- CF22-0727
- Novo Nordisk Foundation
- NNF22SA0081175
- National Science Foundation
- 1839271
- United States Army Research Office
- W911NF-23-1-0077
- United States Army Research Office
- W911NF-21-1-0325
- United States Air Force Office of Scientific Research
- FA9550-19-1-0399
- United States Air Force Office of Scientific Research
- FA9550-21-1-0209
- United States Air Force Office of Scientific Research
- FA9550-23-1-0338
- Defense Advanced Research Projects Agency
- HR0011-24-9-0359
- Defense Advanced Research Projects Agency
- HR0011-24-9-0361
- National Science Foundation
- OMA-1936118
- National Science Foundation
- ERC-1941583
- National Science Foundation
- OMA-2137642
- National Science Foundation
- OSI-2326767
- National Science Foundation
- CCF-2312755
- David and Lucile Packard Foundation
- 2020-71479
- National Science Foundation
- PHY-1607611
Dates
- Accepted
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2025-07-09