Reachability, Coolability, and Stabilizability of Open Markovian Quantum Systems with Fast Unitary Control

• URL: http://arxiv.org/abs/2308.00561v1
• Date: Tue, 1 Aug 2023 14:03:59 GMT
• Title: Reachability, Coolability, and Stabilizability of Open Markovian Quantum Systems with Fast Unitary Control
• Authors: Emanuel Malvetti, Frederik vom Ende, Gunther Dirr, Thomas Schulte-Herbr\"uggen
• Abstract summary: Open Markovian quantum systems with fast and full Hamiltonian control can be reduced to an equivalent control system on the standard simplex. We show that for certain tasks of interest, the control Hamiltonian can be chosen time-independent.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Open Markovian quantum systems with fast and full Hamiltonian control can be reduced to an equivalent control system on the standard simplex modelling the dynamics of the eigenvalues of the density matrix describing the quantum state. We explore this reduced control system for answering questions on reachability and stabilizability with immediate applications to the cooling of Markovian quantum systems. We show that for certain tasks of interest, the control Hamiltonian can be chosen time-independent. -- The reduction picture is an example of dissipative interconversion between equivalence classes of states, where the classes are induced by fast controls.

Related papers

• Dissipation-induced Quantum Homogenization for Temporal Information Processing [44.99833362998488]
  Quantum reservoirs have great potential as they utilize the complex real-time dissipative dynamics of quantum systems for information processing and target time-series generation without precise control or fine-tuning of the Hamiltonian parameters. We propose the disordered quantum homogenizer as an alternative platform, and prove it satisfies the necessary and sufficient conditions - stability and contractivity - of the reservoir dynamics. The results indicate that the quantum homogenization protocol, physically implementable as either nuclear magnetic resonance ensemble or a photonic system, can potentially function as a reservoir computer.
  arXiv  Detail & Related papers  (2024-12-13T09:05:41Z)
• Shortcuts to adiabaticity in open quantum critical systems [0.0]
  We study shortcuts to adiabaticity (STAs) through counterdiabatic driving in quantum critical systems in the presence of dissipation. We believe the counterdiabatic protocol studied here could be of fundamental importance for understanding STAs in many-body open quantum systems.
  arXiv  Detail & Related papers  (2024-09-10T10:09:07Z)
• Observing Time-Dependent Energy Level Renormalisation in an Ultrastrongly Coupled Open System [37.69303106863453]
  We show how strong coupling and memory effects influence the energy levels of open quantum systems. Measurements reveal a time-dependent shift in the system's energy levels of up to 15% of the bare system frequency. Our findings provide direct evidence of dynamic energy level renormalisation in strongly coupled open quantum systems.
  arXiv  Detail & Related papers  (2024-08-28T16:40:55Z)
• Quantum Property Preservation [2.255961793913651]
  Quantum property preservation (QPP) is the problem of maintaining a target property of a quantum system for as long as possible. Here, we develop a general theory to formalize and analyze QPP. We characterize properties encoded as scalar functions of the system state that can be preserved time-locally via continuous control using smoothly varying control Hamiltonians.
  arXiv  Detail & Related papers  (2024-08-21T01:06:22Z)
• A New Framework for Quantum Phases in Open Systems: Steady State of Imaginary-Time Lindbladian Evolution [18.47824812164327]
  We introduce the concept of imaginary-time Lindbladian evolution as an alternative framework. This new approach defines gapped quantum phases in open systems through the spectrum properties of the imaginary-Liouville superoperator.
  arXiv  Detail & Related papers  (2024-08-06T14:53:40Z)
• 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)
• 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)
• Reachability in Controlled Markovian Quantum Systems: An Operator-Theoretic Approach [0.0]
  We show that for global and local switchable coupling to a temperature-zero bath one can generate every quantum state from every initial state up to arbitrary precision. We also present an inclusion for non-zero temperatures as a consequence of our results on d-majorization.
  arXiv  Detail & Related papers  (2020-12-07T07:43:03Z)
• Steering Interchange of Polariton Branches via Coherent and Incoherent Dynamics [1.9573380763700712]
  We propose the control of single- and two-body Jaynes-Cummings systems in a non-equilibrium scenario. Our findings provide a systematic approach to manipulate polaritons interchange, that we apply to reveal new insights in the transition between Mott Insulator- and Super-like states.
  arXiv  Detail & Related papers  (2020-10-07T16:31:03Z)
• Fault-tolerant Coherent H-infinity Control for Linear Quantum Systems [12.099257242356618]
  This paper is to design a coherent feedback controller for a class of linear quantum systems suffering from Markovian jumping faults. For real applications of the developed fault-tolerant control strategy, we present a linear quantum system example from quantum optics.
  arXiv  Detail & Related papers  (2020-03-21T09:20:15Z)
• Einselection from incompatible decoherence channels [62.997667081978825]
  We analyze an open quantum dynamics inspired by CQED experiments with two non-commuting Lindblad operators. We show that Fock states remain the most robust states to decoherence up to a critical coupling.
  arXiv  Detail & Related papers  (2020-01-29T14:15:19Z)

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.