Bit-flip errors in dissipative cat qubits: second-order perturbation theory

• URL: http://arxiv.org/abs/2407.17299v2
• Date: Mon, 27 Jan 2025 14:05:57 GMT
• Title: Bit-flip errors in dissipative cat qubits: second-order perturbation theory
• Authors: Kirill S. Dubovitskii,
• Abstract summary: We develop a second-order perturbation theory on top of a nonlinear dissipative Lindbladian. We derive an analytical expression for the exponentially small bit-flip rate due to single-photon loss. We also apply our scheme to other perturbations, such as frequency detuning and the Z gate, and find the corresponding bit-flip rates.
• Score: 0.0
• License:
• Abstract: Dissipative cat qubits are known for the exponential suppression of the bit-flip rate. However, there is significant discrepancy between experimental measurements and analytical predictions of the strength of the bit-flip suppression. In this paper we resolve this discrepancy for some of the perturbations, by developing a second-order perturbation theory on top of a nonlinear dissipative Lindbladian. Following this scheme, we derive an analytical expression for the exponentially small bit-flip rate due to single-photon loss, which shows good agreement with numerical simulations. We also apply our scheme to other perturbations, such as frequency detuning and the Z gate, and find the corresponding bit-flip rates, which also show good agreement with the numerical simulation.

Related papers

• Impact of qubit anharmonicity on near-resonant Rabi oscillations [0.0]
  This study investigates the impact of anharmonicity on qubit dynamics under conditions typical for two-qubit entangling gates activated by weak near-resonant microwave drives.
  arXiv  Detail & Related papers  (2025-01-30T17:36:38Z)
• Flux-pump induced degradation of $T_1$ for dissipative cat qubits [42.110730614476104]
  Dissipative stabilization of cat qubits autonomously corrects for bit flip errors by ensuring that reservoir-engineered two-photon losses dominate over other mechanisms inducing phase flip errors. We analyze the dressing of relaxation processes under drives in time-dependent Schrieffer-Wolff perturbation theory for weakly anharmonic bosonic degrees of freedom. We find that spurious single-photon decay rates can increase under the action of the parametric pump that generates the required interactions for cat-qubit stabilization.
  arXiv  Detail & Related papers  (2024-10-01T18:02:16Z)
• Error-Tolerant Amplification and Simulation of the Ultrastrong-Coupling Quantum Rabi Model [3.1716226579025255]
  Cat-state qubits formed by photonic cat states have a biased noise channel, i.e., one type of error dominates over all the others. We demonstrate that such biased-noise qubits are also promising for error-tolerant simulations of the quantum Rabi model (and its varieties) by coupling a cat-state qubit to an optical cavity.
  arXiv  Detail & Related papers  (2024-02-01T06:55:59Z)
• Quantum error correction with dissipatively stabilized squeezed cat qubits [68.8204255655161]
  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.
  arXiv  Detail & Related papers  (2022-10-24T16:02:20Z)
• High-Order Qubit Dephasing at Sweet Spots by Non-Gaussian Fluctuators: Symmetry Breaking and Floquet Protection [55.41644538483948]
  We study the qubit dephasing caused by the non-Gaussian fluctuators. We predict a symmetry-breaking effect that is unique to the non-Gaussian noise.
  arXiv  Detail & Related papers  (2022-06-06T18:02:38Z)
• A Probabilistic Interpretation of Transformers [91.3755431537592]
  We propose a probabilistic interpretation of exponential dot product attention of transformers and contrastive learning based off of exponential families. We state theoretical limitations of our theory and the Hopfield theory and suggest directions for resolution.
  arXiv  Detail & Related papers  (2022-04-28T23:05:02Z)
• Quantum asymmetry and noisy multi-mode interferometry [55.41644538483948]
  Quantum asymmetry is a physical resource which coincides with the amount of coherence between the eigenspaces of a generator. We show that the asymmetry may emphincrease as a result of a emphdecrease of coherence inside a degenerate subspace.
  arXiv  Detail & Related papers  (2021-07-23T07:30:57Z)
• A Unified View of Stochastic Hamiltonian Sampling [18.300078015845262]
  This work revisits the theoretical properties of Hamiltonian differential equations (SDEs) for posterior sampling. We study the two types of errors that arise from numerical SDE simulation: the discretization error and the error due to noisy gradient estimates.
  arXiv  Detail & Related papers  (2021-06-30T16:50:11Z)
• Assessment of weak-coupling approximations on a driven two-level system under dissipation [58.720142291102135]
  We study a driven qubit through the numerically exact and non-perturbative method known as the Liouville-von equation with dissipation. We propose a metric that may be used in experiments to map the regime of validity of the Lindblad equation in predicting the steady state of the driven qubit.
  arXiv  Detail & Related papers  (2020-11-11T22:45:57Z)
• Accelerating Convergence of Replica Exchange Stochastic Gradient MCMC via Variance Reduction [24.794221009364772]
  We study the reduction for a noisy energy estimators variance, which promotes much more effective analysis. We obtain the state-of-the-art results in optimization and uncertainty estimates for synthetic experiments and image data.
  arXiv  Detail & Related papers  (2020-10-02T16:23:35Z)

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.