Invariant-based control of quantum many-body systems across critical points

• URL: http://arxiv.org/abs/2309.05469v2
• Date: Tue, 30 Jul 2024 14:42:01 GMT
• Title: Invariant-based control of quantum many-body systems across critical points
• Authors: Hilario Espinós, Loris Maria Cangemi, Amikam Levy, Ricardo Puebla, Erik Torrontegui,
• Abstract summary: We introduce a control technique based on dynamical invariants tailored to ensure adiabatic-like evolution within the lowest-energy subspace of many-body systems. By tuning the controllable parameter according to analytical control results, we achieve high-fidelity evolutions operating close to the speed limit. Remarkably, our approach leads to the breakdown of Kibble-Zurek scaling laws, offering tunable and significantly improved time scaling behavior.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum many-body systems are emerging as key elements in the quest for quantum-based technologies and in the study of fundamental physics. In this study, we address the challenge of achieving fast and high-fidelity evolutions across quantum phase transitions, a crucial requirement for practical applications. We introduce a control technique based on dynamical invariants tailored to ensure adiabatic-like evolution within the lowest-energy subspace of the many-body systems described by the transverse-field Ising and long-range Kitaev models. By tuning the controllable parameter according to analytical control results, we achieve high-fidelity evolutions operating close to the speed limit. Remarkably, our approach leads to the breakdown of Kibble-Zurek scaling laws, offering tunable and significantly improved time scaling behavior. We provide detailed numerical simulations to illustrate our findings, demonstrating scalability with the system size and robustness against noisy controls and disorder, as well as its applicability to a non-integrable system.

Related papers

• Machine-learning-inspired quantum control in many-body dynamics [6.817811305553492]
  We introduce a promising and versatile control neural network tailored to optimize control fields. We address the problem of suppressing defect density and enhancing cat-state fidelity during the passage across the critical point in the quantum Ising model. In comparison to gradient-based power-law quench methods, our approach demonstrates significant advantages for both small system sizes and long-term evolutions.
  arXiv  Detail & Related papers  (2024-04-09T01:47:55Z)
• Quantum control by the environment: Turing uncomputability, Optimization over Stiefel manifolds, Reachable sets, and Incoherent GRAPE [56.47577824219207]
  In many practical situations, the controlled quantum systems are open, interacting with the environment. In this note, we briefly review some results on control of open quantum systems using environment as a resource.
  arXiv  Detail & Related papers  (2024-03-20T10:09:13Z)
• Overhead-constrained circuit knitting for variational quantum dynamics [0.0]
  We use circuit knitting to partition a large quantum system into smaller subsystems that can each be simulated on a separate device. We show that the same method can be used to reduce the circuit depth by cutting long-ranged gates.
  arXiv  Detail & Related papers  (2023-09-14T17:01:06Z)
• Controlling quantum many-body systems using reduced-order modelling [0.0]
  We propose an efficient approach for solving a class of control problems for many-body quantum systems. Simulating dynamics of such a reduced-order model, viewed as a digital twin" of the original subsystem, is significantly more efficient. Our results will find direct applications in the study of many-body systems, in probing non-trivial quasiparticle properties, as well as in development control tools for quantum computing devices.
  arXiv  Detail & Related papers  (2022-11-01T13:58:44Z)
• Self-Correcting Quantum Many-Body Control using Reinforcement Learning with Tensor Networks [0.0]
  We present a novel framework for efficiently controlling quantum many-body systems based on reinforcement learning (RL) We show that RL agents are capable of finding universal controls, of learning how to optimally steer previously unseen many-body states, and of adapting control protocols on-thefly when the quantum dynamics is subject to perturbations.
  arXiv  Detail & Related papers  (2022-01-27T20:14:09Z)
• Sparsity in Partially Controllable Linear Systems [56.142264865866636]
  We study partially controllable linear dynamical systems specified by an underlying sparsity pattern. Our results characterize those state variables which are irrelevant for optimal control.
  arXiv  Detail & Related papers  (2021-10-12T16:41:47Z)
• Quantum algorithms for quantum dynamics: A performance study on the spin-boson model [68.8204255655161]
  Quantum algorithms for quantum dynamics simulations are traditionally based on implementing a Trotter-approximation of the time-evolution operator. variational quantum algorithms have become an indispensable alternative, enabling small-scale simulations on present-day hardware. We show that, despite providing a clear reduction of quantum gate cost, the variational method in its current implementation is unlikely to lead to a quantum advantage.
  arXiv  Detail & Related papers  (2021-08-09T18:00:05Z)
• Dynamically corrected gates from geometric space curves [55.41644538483948]
  We review a technique for designing control fields that dynamically correct errors while performing operations using a close relationship between quantum evolution and geometric space curves. This approach provides access to the global solution space of control fields that accomplish a given task, facilitating the design of experimentally feasible gate operations for a wide variety of applications.
  arXiv  Detail & Related papers  (2021-03-30T01:12:36Z)
• Enhancement of quantum correlations and geometric phase for a driven bipartite quantum system in a structured environment [77.34726150561087]
  We study the role of driving in an initial maximally entangled state evolving under a structured environment. This knowledge can aid the search for physical setups that best retain quantum properties under dissipative dynamics.
  arXiv  Detail & Related papers  (2021-03-18T21:11:37Z)
• Entanglement transfer, accumulation and retrieval via quantum-walk-based qubit-qudit dynamics [50.591267188664666]
  Generation and control of quantum correlations in high-dimensional systems is a major challenge in the present landscape of quantum technologies. We propose a protocol that is able to attain entangled states of $d$-dimensional systems through a quantum-walk-based it transfer & accumulate mechanism. In particular, we illustrate a possible photonic implementation where the information is encoded in the orbital angular momentum and polarization degrees of freedom of single photons.
  arXiv  Detail & Related papers  (2020-10-14T14:33:34Z)
• Engineering Fast High-Fidelity Quantum Operations With Constrained Interactions [0.0]
  We present a very general method for designing high-efficiency control sequences. Our approach reduces in the end to finding control fields by solving a set of time-independent linear equations. We illustrate our method by applying it to a number of physically-relevant problems.
  arXiv  Detail & Related papers  (2020-03-26T18:29:03Z)

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.