Stabilizing steady-state properties of open quantum systems with parameter engineering

• URL: http://arxiv.org/abs/2503.09847v1
• Date: Wed, 12 Mar 2025 21:10:38 GMT
• Title: Stabilizing steady-state properties of open quantum systems with parameter engineering
• Authors: Koray Aydoğan, Anthony W. Schlimgen, Kade Head-Marsden,
• Abstract summary: We describe a technique to optimize parameters for generating desired non-equilibrium steady states (NESSs) in driven-dissipative quantum systems governed by the Lindblad equation.<n>We apply this approach to predict highly-entangled and mixed NESSs in Ising, Kitaev, and Dicke models in several quantum phases.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Realistic quantum systems are affected by environmental loss, which is often seen as detrimental for applications in quantum technologies. Alternatively, weak coupling to an environment can aid in stabilizing highly entangled and mixed states, but determining optimal system-environment parameters can be challenging. Here, we describe a technique to optimize parameters for generating desired non-equilibrium steady states (NESSs) in driven-dissipative quantum systems governed by the Lindblad equation. We apply this approach to predict highly-entangled and mixed NESSs in Ising, Kitaev, and Dicke models in several quantum phases.

Related papers

• Enhanced Quantum Parameter Estimation via Dynamical Modulation [3.93042397391066]
  In quantum theory, the inescapable interaction between a system and its surroundings would lead to a loss of coherence and leakage of information into the environment.<n>We propose a general dynamical modulation scheme that enables the enhancement of estimation precision irrespective of the origin of the parameters to be estimated.
  arXiv  Detail & Related papers  (2025-01-10T02:34:18Z)
• 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)
• Differentiable master equation solver for quantum device characterisation [0.0]
  Differentiable models of physical systems provide a powerful platform for gradient-based algorithms. Quantum systems present a particular challenge for such characterisation and control. We present a versatile differentiable quantum master equation solver, and incorporate this solver into a framework for device characterisation.
  arXiv  Detail & Related papers  (2024-03-07T17:23:56Z)
• Dynamics with autoregressive neural quantum states: application to critical quench dynamics [41.94295877935867]
  We present an alternative general scheme that enables one to capture long-time dynamics of quantum systems in a stable fashion. We apply the scheme to time-dependent quench dynamics by investigating the Kibble-Zurek mechanism in the two-dimensional quantum Ising model.
  arXiv  Detail & Related papers  (2022-09-07T15:50:00Z)
• Topological Entanglement Stabilization in Superconducting Quantum Circuits [0.0]
  Topological properties of quantum systems are one of the most intriguing emerging phenomena in condensed matter physics. We propose a concept of using topological modes to stabilize fully entangled quantum states. We show that entanglement remains stable against parameter fluctuations in the topologically non-trivial regime.
  arXiv  Detail & Related papers  (2022-05-18T17:45:15Z)
• Convex Optimization for Nonequilibrium Steady States on a Hybrid Quantum Processor [0.0]
  We present a quantum-assisted algorithm to determine the steady states of open system dynamics. We demonstrate that our hybrid approach allows us to estimate the steady states of higher dimensional open quantum systems.
  arXiv  Detail & Related papers  (2022-04-07T04:12:49Z)
• Stabilizing Preparation of Quantum Gaussian States via Continuous Measurement [2.6663319869017523]
  The evolution of the open quantum system is described in terms of the quantum master equation. We present necessary and sufficient conditions for the system to have a unique stabilizing steady Gaussian state.
  arXiv  Detail & Related papers  (2021-09-27T01:18:04Z)
• 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)
• FLIP: A flexible initializer for arbitrarily-sized parametrized quantum circuits [105.54048699217668]
  We propose a FLexible Initializer for arbitrarily-sized Parametrized quantum circuits. FLIP can be applied to any family of PQCs, and instead of relying on a generic set of initial parameters, it is tailored to learn the structure of successful parameters. We illustrate the advantage of using FLIP in three scenarios: a family of problems with proven barren plateaus, PQC training to solve max-cut problem instances, and PQC training for finding the ground state energies of 1D Fermi-Hubbard models.
  arXiv  Detail & Related papers  (2021-03-15T17:38:33Z)
• 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)
• QuTiP-BoFiN: A bosonic and fermionic numerical hierarchical-equations-of-motion library with applications in light-harvesting, quantum control, and single-molecule electronics [51.15339237964982]
  "hierarchical equations of motion" (HEOM) is a powerful exact numerical approach to solve the dynamics. It has been extended and applied to problems in solid-state physics, optics, single-molecule electronics, and biological physics. We present a numerical library in Python, integrated with the powerful QuTiP platform, which implements the HEOM for both bosonic and fermionic environments.
  arXiv  Detail & Related papers  (2020-10-21T07:54:56Z)
• Quantum Non-equilibrium Many-Body Spin-Photon Systems [91.3755431537592]
  dissertation concerns the quantum dynamics of strongly-correlated quantum systems in out-of-equilibrium states. Our main results can be summarized in three parts: Signature of Critical Dynamics, Driven Dicke Model as a Test-bed of Ultra-Strong Coupling, and Beyond the Kibble-Zurek Mechanism.
  arXiv  Detail & Related papers  (2020-07-23T19:05:56Z)
• Optimal non-classical correlations of light with a levitated nano-sphere [34.82692226532414]
  Nonclassical correlations provide a resource for many applications in quantum technology. Optomechanical systems can generate nonclassical correlations between the mechanical mode and a mode of travelling light. We propose automated optimization of the production of quantum correlations in such a system.
  arXiv  Detail & Related papers  (2020-06-26T15:27:47Z)

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.