Quantum error correction with dissipatively stabilized squeezed cat qubits

• URL: http://arxiv.org/abs/2210.13359v2
• Date: Mon, 10 Apr 2023 17:07:15 GMT
• Title: Quantum error correction with dissipatively stabilized squeezed cat qubits
• Authors: Timo Hillmann, Fernando Quijandr\'ia
• Abstract summary: We propose and analyze the error correction performance of a dissipatively stabilized squeezed cat qubit. We find that for moderate squeezing the bit-flip error rate gets significantly reduced in comparison with the ordinary cat qubit while leaving the phase flip rate unchanged.
• Score: 68.8204255655161
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Noise-biased qubits are a promising route toward significantly reducing the hardware overhead associated with quantum error correction. The squeezed cat code, a non-local encoding in phase space based on squeezed coherent states, is an example of a noise-biased (bosonic) qubit with exponential error bias. Here we propose and analyze the error correction performance of a dissipatively stabilized squeezed cat qubit. We find that for moderate squeezing the bit-flip error rate gets significantly reduced in comparison with the ordinary cat qubit while leaving the phase flip rate unchanged. Additionally, we find that the squeezing enables faster and higher-fidelity gates.

Related papers

• Hardware-efficient quantum error correction using concatenated bosonic qubits [41.6475446744259]
  Quantum computers will need to incorporate quantum error correction, where a logical qubit is redundantly encoded in many noisy physical qubits. Here, using a microfabricated superconducting quantum circuit, we realize a logical qubit memory formed from the concatenation of encoded bosonic cat qubits. We study the performance and scaling of the logical qubit memory, finding that the phase-flip correcting repetition code operates below threshold.
  arXiv  Detail & Related papers  (2024-09-19T18:00:53Z)
• Fault-tolerant quantum architectures based on erasure qubits [49.227671756557946]
  We exploit the idea of erasure qubits, relying on an efficient conversion of the dominant noise into erasures at known locations. We propose and optimize QEC schemes based on erasure qubits and the recently-introduced Floquet codes. Our results demonstrate that, despite being slightly more complex, QEC schemes based on erasure qubits can significantly outperform standard approaches.
  arXiv  Detail & Related papers  (2023-12-21T17:40:18Z)
• Demonstrating a long-coherence dual-rail erasure qubit using tunable transmons [59.63080344946083]
  We show that a "dual-rail qubit" consisting of a pair of resonantly coupled transmons can form a highly coherent erasure qubit. We demonstrate mid-circuit detection of erasure errors while introducing $ 0.1%$ dephasing error per check. This work establishes transmon-based dual-rail qubits as an attractive building block for hardware-efficient quantum error correction.
  arXiv  Detail & Related papers  (2023-07-17T18:00:01Z)
• High-performance repetition cat code using fast noisy operations [0.0]
  Cat qubits stabilized by two-photon driven dissipation benefit from exponential suppression of bit-flip errors and an extensive set of gates preserving this protection. We propose a performance optimization of the repetition cat code architecture using fast but noisy CNOT gates for stabilizer measurements.
  arXiv  Detail & Related papers  (2022-12-22T18:03:37Z)
• Autonomous quantum error correction and fault-tolerant quantum computation with squeezed cat qubits [16.26495567081241]
  We show that a structured dissipation can stabilize a two-component SC while autonomously correcting the errors. While our proposed scheme is device independent, it is readily implementable with current experimental platforms.
  arXiv  Detail & Related papers  (2022-10-24T17:04:29Z)
• Construction of Bias-preserving Operations for Pair-cat Code [17.34207569961146]
  Multi-level systems can achieve a desirable set of bias-preserving quantum operations. Cat codes are not compatible with continuous quantum error correction against excitation loss error. We generalize the bias-preserving operations to pair-cat codes to be compatible with continuous quantum error correction against both bosonic loss and dephasing errors.
  arXiv  Detail & Related papers  (2022-08-14T20:45:26Z)
• Fault-tolerant multiqubit geometric entangling gates using photonic cat-state qubits [0.8024702830680637]
  We propose a theoretical protocol to implement multiqubit geometric gates using photonic cat-state qubits. These cat-state qubits are promising for hardware-efficient universal quantum computing.
  arXiv  Detail & Related papers  (2021-09-10T03:04:32Z)
• Fault-tolerant parity readout on a shuttling-based trapped-ion quantum computer [64.47265213752996]
  We experimentally demonstrate a fault-tolerant weight-4 parity check measurement scheme. We achieve a flag-conditioned parity measurement single-shot fidelity of 93.2(2)%. The scheme is an essential building block in a broad class of stabilizer quantum error correction protocols.
  arXiv  Detail & Related papers  (2021-07-13T20:08:04Z)
• Engineering fast bias-preserving gates on stabilized cat qubits [64.20602234702581]
  bias-preserving gates can significantly reduce resource overhead for fault-tolerant quantum computing. In this work, we apply a derivative-based leakage suppression technique to overcome non-adiabatic errors.
  arXiv  Detail & Related papers  (2021-05-28T15:20:21Z)
• Exponential suppression of bit or phase flip errors with repetitive error correction [56.362599585843085]
  State-of-the-art quantum platforms typically have physical error rates near $10-3$. Quantum error correction (QEC) promises to bridge this divide by distributing quantum logical information across many physical qubits. We implement 1D repetition codes embedded in a 2D grid of superconducting qubits which demonstrate exponential suppression of bit or phase-flip errors.
  arXiv  Detail & Related papers  (2021-02-11T17:11:20Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.