Robust applicability of continuous dynamical decoupling to decoherence reduction in longitudinal and transverse-noise settings: The role of anisotropy
- URL: http://arxiv.org/abs/2606.08114v1
- Date: Sat, 06 Jun 2026 11:35:04 GMT
- Title: Robust applicability of continuous dynamical decoupling to decoherence reduction in longitudinal and transverse-noise settings: The role of anisotropy
- Abstract summary: We analytically evaluate the efficiency of continuous dynamical decoupling (CDD) to curb decoherence in generic qubit setups.<n>We consider the impact of transverse fluctuations, usually present in the practical arrangements.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We analytically evaluate the efficiency of continuous dynamical decoupling (CDD) to curb decoherence in generic qubit setups where diverse sources of noise can be present. Previous theoretical approaches to CDD have mainly focused on its potential to cope with longitudinal fluctuations. Here, the basic scenario tackled with CDD is generalized. Apart from dealing with pure dephasing induced by diagonal noise, we consider the impact of transverse fluctuations, usually present in the practical arrangements. In particular, the implications of anisotropic noisy inputs are studied. Additionally, we analyze the role of the fluctuations in the dressing of the qubit by the CDD field of control: since the driving field is usually switched on through linear ramps of its characteristic parameters, the associated dressing of the original states can be described in terms of noisy Landau-Zener transitions. In our approach, based on a sequence of unitary transformations, the noise entering the system is cast into effective stochastic terms whose spectral characteristics are dependent on the driving parameters. This description allows the design of strategies to mitigate the impact of the fluctuations using controlled changes in the effective-noise properties. Significant robustness of CDD against the generalization of the basic scenario can be achieved through an appropriate choice of the parameters of control.
Related papers
- Characterization of a damping channel as a mixture of amplitude damping and anti-damping channels of different parameters [0.0]
Non-unital noise is a fundamental feature of open quantum systems.<n>Unital dynamics where no translation occurs are often preferred in quantum information processing.<n>We present a constructive framework for generating a broader class of phase-covariant dynamics.
arXiv Detail & Related papers (2026-08-20T15:35:11Z) - Digital techniques for the frustrated Ising ring: the role of counter-diabatic terms [0.0]
We investigate the role of local counter-diabatic (CD) terms in enhancing the performance of discrete-time digital protocols for a frustrated Ising ring.<n>The techniques investigated range from a digitised version of a fixed-schedule protocol, including lowest-order analytical CD terms.<n>We show that DC-QAOA combined with Chopped RAndom Basis (CRAB) quantum control techniques can outperform all the other strategies.
arXiv Detail & Related papers (2026-07-25T06:47:37Z) - Trajectory-Aware Node Contributions and the Limits of Static Controllability [0.0]
"emergent contribution" is a measure of a node's dynamical leverage.<n>"EC" reduces exactly to average controllability in the linear, time-invariant limit.<n>We place five estimated real systems from several domains within this phase space.
arXiv Detail & Related papers (2026-06-02T02:56:36Z) - From Noise to Control: Parameterized Diffusion Policies [54.941343992110426]
We propose a framework for learning diffusion policies conditioned on continuous parameters embedded in a learned behavior manifold.<n>Our approach enables smooth distances between known strategies and efficient adaptation to novel constraints without updating policy weights.
arXiv Detail & Related papers (2026-05-29T20:21:50Z) - The Cylindrical Representation Hypothesis for Language Model Steering [57.97381760521523]
We show that a central axis captures the main difference between concept absence and presence and drives concept generation.<n>We formalize this as the Cylindrical Representation Hypothesis (CRH)<n>Our experiments verify the existence of the cylindrical structure and demonstrate that CRH provides a valid and practical way to interpret model steering behavior in real settings.
arXiv Detail & Related papers (2026-05-03T12:26:13Z) - Addressing prior dependence in hierarchical Bayesian modeling for PTA data analysis II: Noise and SGWB inference through parameter decorrelation [0.0]
PTA analyses assign fixed uniform noise priors to each pulsar, an approach that can introduce systematic biases when combining the array.<n>We adopt a hierarchical Bayesian modeling strategy in which noise priors are parametrized by higher-level hyper parameters.<n>We show that the hierarchical treatment constrains the noise parameters more tightly and partially alleviates the red-noise-SGWB degeneracy.
arXiv Detail & Related papers (2025-11-03T17:54:55Z) - Decoherence reduction via continuous dynamical decoupling: Analytical
study of the role of the noise spectrum [0.0]
We analyze the robust character against non-static noise of clock transitions implemented via a method of continuous dynamical decoupling (CDD)
We show that the amplitude and frequency of the (driving) field of control can be appropriately chosen to force the non-static random input to have a (timedependent) perturbative character.
In particular, the range of noise correlation times where the method of decoherence reduction is still efficient is identified.
arXiv Detail & Related papers (2023-11-14T20:05:05Z) - Improve Noise Tolerance of Robust Loss via Noise-Awareness [60.34670515595074]
We propose a meta-learning method which is capable of adaptively learning a hyper parameter prediction function, called Noise-Aware-Robust-Loss-Adjuster (NARL-Adjuster for brevity)
Four SOTA robust loss functions are attempted to be integrated with our algorithm, and comprehensive experiments substantiate the general availability and effectiveness of the proposed method in both its noise tolerance and performance.
arXiv Detail & Related papers (2023-01-18T04:54:58Z) - Partial Identification with Noisy Covariates: A Robust Optimization
Approach [94.10051154390237]
Causal inference from observational datasets often relies on measuring and adjusting for covariates.
We show that this robust optimization approach can extend a wide range of causal adjustment methods to perform partial identification.
Across synthetic and real datasets, we find that this approach provides ATE bounds with a higher coverage probability than existing methods.
arXiv Detail & Related papers (2022-02-22T04:24:26Z) - Disentangled Generative Models for Robust Prediction of System Dynamics [2.6424064030995957]
In this work, we treat the domain parameters of dynamical systems as factors of variation of the data generating process.
By leveraging ideas from supervised disentanglement and causal factorization, we aim to separate the domain parameters from the dynamics in the latent space of generative models.
Results indicate that disentangled VAEs adapt better to domain parameters spaces that were not present in the training data.
arXiv Detail & Related papers (2021-08-26T09:58:06Z) - Shape Matters: Understanding the Implicit Bias of the Noise Covariance [76.54300276636982]
Noise in gradient descent provides a crucial implicit regularization effect for training over parameterized models.
We show that parameter-dependent noise -- induced by mini-batches or label perturbation -- is far more effective than Gaussian noise.
Our analysis reveals that parameter-dependent noise introduces a bias towards local minima with smaller noise variance, whereas spherical Gaussian noise does not.
arXiv Detail & Related papers (2020-06-15T18:31:02Z) - Cat states in a driven superfluid: role of signal shape and switching
protocol [62.997667081978825]
We investigate the behavior of a one-dimensional Bose-Hubbard model whose kinetic energy is made to oscillate with zero time-average.
We analyze the robustness of this unconventional ground state against variations of a number of system parameters.
arXiv Detail & Related papers (2020-05-11T15:15:06Z)
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.