Control of open quantum systems via dynamical invariants

• URL: http://arxiv.org/abs/2311.13164v2
• Date: Sun, 18 Aug 2024 15:38:17 GMT
• Title: Control of open quantum systems via dynamical invariants
• Authors: Loris Maria Cangemi, Hilario Espinós, Ricardo Puebla, Erik Torrontegui, Amikam Levy,
• Abstract summary: We address the challenge of controlling quantum systems under environmental influences using the theory of dynamical invariants. We employ a reverse engineering approach to develop control protocols designed to be robust against environmental noise and dissipation.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this study, we address the challenge of controlling quantum systems under environmental influences using the theory of dynamical invariants. We employ a reverse engineering approach to develop control protocols designed to be robust against environmental noise and dissipation. This technique offers significant improvements over traditional quantum control methods by accounting for the time-dependent dissipation factor in the master equation, which results from modulating the system's Hamiltonian (the control fields). Additionally, our method obviates the need for iterative propagation of the system state, a resource-intensive process. The method can be applied to any open system dynamics that can be described using a time-dependent Master equation. We demonstrate the effectiveness and practicality of our approach through applications to two fundamental models: a two-level quantum system and a quantum harmonic oscillator, both interacting with a thermal bath.

Related papers

• 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)
• Non-Markovian Quantum Control via Model Maximum Likelihood Estimation and Reinforcement Learning [0.0]
  We propose a novel approach that incorporates the non-Markovian nature of the environment into a low-dimensional effective reservoir. We utilize machine learning techniques to learn the effective quantum dynamics more efficiently than traditional tomographic methods. This approach may not only mitigates the issues of model bias but also provides a more accurate representation of quantum dynamics.
  arXiv  Detail & Related papers  (2024-02-07T18:37:17Z)
• Dynamical invariant based shortcut to equilibration in open quantum systems [0.0]
  We propose using the Lewis-Riesenfeld invariant to speed-up the equilibration of a driven open quantum system. We show that our protocol can achieve a high-fidelity control in shorter timescales than simple non-optimized protocols.
  arXiv  Detail & Related papers  (2024-01-22T02:32:27Z)
• Digital quantum simulation of non-perturbative dynamics of open systems with orthogonal polynomials [0.0]
  We propose the use of the Time Evolving Density operator with Orthogonal Polynomials Algorithm (TEDOPA) on a quantum computer. We show that exponential scalings of computational resources can potentially be avoided for time-evolution simulations of the systems considered in this work.
  arXiv  Detail & Related papers  (2022-03-28T11:16:33Z)
• Decimation technique for open quantum systems: a case study with driven-dissipative bosonic chains [62.997667081978825]
  Unavoidable coupling of quantum systems to external degrees of freedom leads to dissipative (non-unitary) dynamics. We introduce a method to deal with these systems based on the calculation of (dissipative) lattice Green's function. We illustrate the power of this method with several examples of driven-dissipative bosonic chains of increasing complexity.
  arXiv  Detail & Related papers  (2022-02-15T19:00:09Z)
• 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)
• From geometry to coherent dissipative dynamics in quantum mechanics [68.8204255655161]
  We work out the case of finite-level systems, for which it is shown by means of the corresponding contact master equation. We describe quantum decays in a 2-level system as coherent and continuous processes.
  arXiv  Detail & Related papers  (2021-07-29T18:27:38Z)
• Model-Free Quantum Control with Reinforcement Learning [0.0]
  We propose a circuit-based approach for training a reinforcement learning agent on quantum control tasks in a model-free way. We show how to reward the learning agent using measurements of experimentally available observables. This approach significantly outperforms widely used model-free methods in terms of sample efficiency.
  arXiv  Detail & Related papers  (2021-04-29T17:53:26Z)
• 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)
• Method of spectral Green functions in driven open quantum dynamics [77.34726150561087]
  A novel method based on spectral Green functions is presented for the simulation of driven open quantum dynamics. The formalism shows remarkable analogies to the use of Green functions in quantum field theory. The method dramatically reduces computational cost compared with simulations based on solving the full master equation.
  arXiv  Detail & Related papers  (2020-06-04T09:41:08Z)
• Pulse reverse-engineering for strong field-matter interaction [4.141202109660283]
  A coherent control field is designed to drive both closed and open two-level quantum systems. We show that complete population inversion, an equally weighted coherent superposition, and even oscillationlike dynamics can be achieved.
  arXiv  Detail & Related papers  (2020-03-03T23:10:27Z)

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.