Measurement-based state preparation of Kerr parametric oscillators

• URL: http://arxiv.org/abs/2208.04542v1
• Date: Tue, 9 Aug 2022 05:12:09 GMT
• Title: Measurement-based state preparation of Kerr parametric oscillators
• Authors: Yuta Suzuki, Shohei Watabe, Shiro Kawabata and Shumpei Masuda
• Abstract summary: We study the state preparation of a KPO based on homodyne detection, which does not require modulation of a pump field or an auxiliary drive field. We show that the detection data, if averaged over a proper time to decrease the effect of measurement noise, has a strong correlation with the state of the KPO. We examine the success probability of the state estimation taking into account the effect of the measurement noise and bit flips.
• Score: 0.09176056742068812
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Kerr parametric oscillators (KPOs) have attracted increasing attention in terms of their application to quantum information processing and quantum simulations. The state preparation and measurement of KPOs are typical requirements when they are used as qubits. The methods previously proposed for state preparations of KPOs utilize modulation of a pump field or an auxiliary drive field. We study the stochastic state preparation of a KPO based on homodyne detection, which does not require modulation of a pump field nor an auxiliary drive field, and thus can exclude unwanted effects of possible imperfection in control of these fields. We quantitatively show that the detection data, if averaged over a proper time to decrease the effect of measurement noise, has a strong correlation with the state of the KPO, and therefore can be used to estimate the state of the KPO (stochastic state preparation). We examine the success probability of the state estimation taking into account the effect of the measurement noise and bit flips. Moreover, the proper range of the averaging time to realize a high success probability is obtained by developing a binomial-coherent-state model, which describes the stochastic dynamics of the KPO under homodyne detection.

Related papers

• Time-adaptive phase estimation [0.0]
  We present Bayesian phase estimation methods that adaptively choose a control phase and the time of coherent evolution based on prior phase knowledge. We find near-optimal performance with respect to known theoretical bounds, and demonstrate some robustness of the estimates to noise that is not accounted for in the model of the estimator. The methods provide optimal solutions accounting for available prior knowledge and experimental imperfections with minimal effort from the user.
  arXiv  Detail & Related papers  (2024-05-14T19:49:22Z)
• Physics-informed tracking of qubit fluctuations [22.798654837751112]
  We implement a physics-informed and an adaptive Bayesian estimation strategy and apply them in real time to a semiconductor spin qubit. The strategy propagates a probability distribution inside the quantum controller according to the Fokker-Planck equation. The strategy can be applied to other qubit platforms by tailoring the appropriate update equation to capture their distinct noise sources.
  arXiv  Detail & Related papers  (2024-04-14T10:41:48Z)
• Noisy atomic magnetometry with Kalman filtering and measurement-based feedback [0.0]
  We propose a comprehensive approach that integrates measurement, estimation and control strategies. This involves implementing a quantum non-demolition measurement based on continuous light-probing of the atomic ensemble. Thanks to the feedback proposed, the atoms exhibit entanglement even when the measurement data is discarded.
  arXiv  Detail & Related papers  (2024-03-21T18:11:09Z)
• Score Matching-based Pseudolikelihood Estimation of Neural Marked Spatio-Temporal Point Process with Uncertainty Quantification [59.81904428056924]
  We introduce SMASH: a Score MAtching estimator for learning markedPs with uncertainty quantification. Specifically, our framework adopts a normalization-free objective by estimating the pseudolikelihood of markedPs through score-matching. The superior performance of our proposed framework is demonstrated through extensive experiments in both event prediction and uncertainty quantification.
  arXiv  Detail & Related papers  (2023-10-25T02:37:51Z)
• Efficient preparation of the AKLT State with Measurement-based Imaginary Time Evolution [2.5938976557097715]
  We propose a method to prepare the ground state of the Affleck-Lieb-Kennedy-Tasaki model deterministically. We show that it can be prepared efficiently using the MITE approach. We show that the procedure is compatible with qubit-based simulators.
  arXiv  Detail & Related papers  (2023-10-09T18:00:03Z)
• Optomechanics-based quantum estimation theory for collapse models [0.0]
  We show that a study performed in non-equilibrium conditions unveils the advantages provided by the use of genuinely quantum resources. Our investigation contributes to the ongoing effort aimed at identifying suitable conditions for the experimental assessment of collapse models.
  arXiv  Detail & Related papers  (2023-02-17T16:54:50Z)
• Universality of critical dynamics with finite entanglement [68.8204255655161]
  We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement. Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
  arXiv  Detail & Related papers  (2023-01-23T19:23:54Z)
• Probing finite-temperature observables in quantum simulators of spin systems with short-time dynamics [62.997667081978825]
  We show how finite-temperature observables can be obtained with an algorithm motivated from the Jarzynski equality. We show that a finite temperature phase transition in the long-range transverse field Ising model can be characterized in trapped ion quantum simulators.
  arXiv  Detail & Related papers  (2022-06-03T18:00:02Z)
• 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)
• State preparation and measurement in a quantum simulation of the O(3) sigma model [65.01359242860215]
  We show that fixed points of the non-linear O(3) sigma model can be reproduced near a quantum phase transition of a spin model with just two qubits per lattice site. We apply Trotter methods to obtain results for the complexity of adiabatic ground state preparation in both the weak-coupling and quantum-critical regimes. We present and analyze a quantum algorithm based on non-unitary randomized simulation methods.
  arXiv  Detail & Related papers  (2020-06-28T23:44:12Z)
• In and out of equilibrium quantum metrology with mean-field quantum criticality [68.8204255655161]
  We study the influence that collective transition phenomena have on quantum metrological protocols. The single spherical quantum spin (SQS) serves as stereotypical toy model that allows analytical insights on a mean-field level.
  arXiv  Detail & Related papers  (2020-01-09T19:20:42Z)

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.