Improving stabilizer approximation with quantum strategy

• URL: http://arxiv.org/abs/2412.06320v2
• Date: Thu, 13 Feb 2025 03:22:24 GMT
• Title: Improving stabilizer approximation with quantum strategy
• Authors: Fen Zuo,
• Abstract summary: We introduce a quantum strategy from nonlocal games to improve the stabilizer approximation we proposed previously. The resulting approach turns out to be a qubit-by-qubit gauging procedure for standard stabilizers.
• Score: 0.0
• License:
• Abstract: We introduce a quantum strategy from nonlocal games to improve the stabilizer approximation we proposed previously. The resulting approach turns out to be a qubit-by-qubit gauging procedure for standard stabilizers, which could involve discrete or continuous gauge parameters. We take examples from many-body physics and quantum chemistry to show such a procedure leads to an improvement of the performance.

Related papers

• Bayesian Quantum Amplitude Estimation [49.1574468325115]
  We introduce BAE, a noise-aware Bayesian algorithm for quantum amplitude estimation. We show that BAE achieves Heisenberg-limited estimation and benchmark it against other approaches.
  arXiv  Detail & Related papers  (2024-12-05T18:09:41Z)
• Hybrid Stabilizer Matrix Product Operator [44.99833362998488]
  We introduce a novel hybrid approach combining tensor network methods with the stabilizer formalism to address the challenges of simulating many-body quantum systems. We demonstrate the effectiveness of our method through applications to random Clifford T-doped circuits and Random Clifford Floquet Dynamics.
  arXiv  Detail & Related papers  (2024-05-09T18:32:10Z)
• Floquet operator engineering for quantum state stroboscopic stabilization [0.0]
  This work focuses on the tailoring of a unitary evolution leading to the stroboscopic stabilization of quantum states of a Bose-Einstein condensate in an optical lattice. We show how, for states with space and time symmetries, such an evolution can be derived from the initial state-preparation controls. Numerical optimizations highlight the existence of a quantum speed limit for this stabilization process, and our experimental results demonstrate the efficient stabilization of a broad range of quantum states in the lattice.
  arXiv  Detail & Related papers  (2023-07-28T11:02:50Z)
• Parsimonious Optimisation of Parameters in Variational Quantum Circuits [1.303764728768944]
  We propose a novel Quantum-Gradient Sampling that requires the execution of at most two circuits per iteration to update the optimisable parameters. Our proposed method achieves similar convergence rates to classical gradient descent, and empirically outperforms gradient coordinate descent, and SPSA.
  arXiv  Detail & Related papers  (2023-06-20T18:50:18Z)
• Sharp Calibrated Gaussian Processes [58.94710279601622]
  State-of-the-art approaches for designing calibrated models rely on inflating the Gaussian process posterior variance. We present a calibration approach that generates predictive quantiles using a computation inspired by the vanilla Gaussian process posterior variance. Our approach is shown to yield a calibrated model under reasonable assumptions.
  arXiv  Detail & Related papers  (2023-02-23T12:17:36Z)
• A self-consistent field approach for the variational quantum eigensolver: orbital optimization goes adaptive [52.77024349608834]
  We present a self consistent field approach (SCF) within the Adaptive Derivative-Assembled Problem-Assembled Ansatz Variational Eigensolver (ADAPTVQE) This framework is used for efficient quantum simulations of chemical systems on nearterm quantum computers.
  arXiv  Detail & Related papers  (2022-12-21T23:15:17Z)
• Differentiable Analog Quantum Computing for Optimization and Control [14.736412617211538]
  We formulate the first differentiable analog quantum computing framework with a specific parameterization design at the analog signal (pulse) level. We propose a scalable approach to estimate the gradients of quantum dynamics using a forward pass with Monte Carlo sampling.
  arXiv  Detail & Related papers  (2022-10-28T00:28:31Z)
• Bayesian Optimization for QAOA [0.0]
  We present a Bayesian optimization procedure to optimise a quantum circuit. We show that our approach allows for a significant reduction in the number of calls to the quantum circuit. Our results suggest that the method proposed here is a promising framework to leverage the hybrid nature of QAOA on the noisy intermediate-scale quantum devices.
  arXiv  Detail & Related papers  (2022-09-08T13:59:47Z)
• On the Convergence of Stochastic Extragradient for Bilinear Games with Restarted Iteration Averaging [96.13485146617322]
  We present an analysis of the ExtraGradient (SEG) method with constant step size, and present variations of the method that yield favorable convergence. We prove that when augmented with averaging, SEG provably converges to the Nash equilibrium, and such a rate is provably accelerated by incorporating a scheduled restarting procedure.
  arXiv  Detail & Related papers  (2021-06-30T17:51:36Z)
• Stabilization via feedback switching for quantum stochastic dynamics [0.0]
  We propose a new method for pure-state and subspace preparation in quantum systems, which employs the output of a continuous measurement process and switching dissipative control to improve speed. We prove that the proposed closed-loop strategy makes the desired target globallyally stable both in mean and almost surely, and we show it compares favorably against a time-based and a state-based switching control law.
  arXiv  Detail & Related papers  (2020-12-16T02:54:53Z)
• 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)

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.