Related papers: Control of quantum noise: on the role of dilations

Control of quantum noise: on the role of dilations

URL: http://arxiv.org/abs/2010.00279v2
Date: Mon, 25 Jul 2022 13:04:55 GMT
Title: Control of quantum noise: on the role of dilations
Authors: Daniel Burgarth, Paolo Facchi, Robin Hillier
Abstract summary: We show that every finite-dimensional quantum system with Markovian time evolution has an autonomous unitary dilation which can be dynamically decoupled. This highlights the role of dilations in the control of quantum noise.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: We show that every finite-dimensional quantum system with Markovian (i.e., GKLS-generated) time evolution has an autonomous unitary dilation which can be dynamically decoupled. Since there is also always an autonomous unitary dilation which cannot be dynamically decoupled, this highlights the role of dilations in the control of quantum noise. We construct our dilation via a time-dependent version of Stinespring in combination with Howland's clock Hamiltonian and certain point-localised states, which may be regarded as a C*-algebraic analogue of improper bra-ket position eigenstates and which are hence of independent mathematical and physical interest.

Related papers

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)
Designing open quantum systems with known steady states: Davies generators and beyond [0.9903198600681908]
We provide a systematic framework for constructing generic models of nonequilibrium quantum dynamics with a target stationary (mixed) state. We focus on Gibbs states of stabilizer Hamiltonians, identifying local Lindbladians compatible therewith by constraining the rates of dissipative and unitary processes. Our methods also reveal new models of quantum dynamics: for example, we provide a "measurement-induced phase transition" where measurable two-point functions exhibit critical (power-law) scaling with distance at a critical ratio of the transverse field and rate of measurement and feedback.
arXiv Detail & Related papers (2024-04-22T19:21:34Z)
Universal Time-Entanglement Trade-off in Open Quantum Systems [0.0]
We show a surprising connection between pure steady state entanglement and relaxation timescales in a class of Markovian open systems. This setup encompases a broad class of adaptive quantum dynamics based on continuous measurement and feedback. Our work provides general insights into how dynamics and entanglement are connected in open systems, and has specific relevance to quantum reservoir engineering.
arXiv Detail & Related papers (2024-04-04T17:47:52Z)
Entanglement and localization in long-range quadratic Lindbladians [49.1574468325115]
Signatures of localization have been observed in condensed matter and cold atomic systems. We propose a model of one-dimensional chain of non-interacting, spinless fermions coupled to a local ensemble of baths. We show that the steady state of the system undergoes a localization entanglement phase transition by tuning $p$ which remains stable in the presence of coherent hopping.
arXiv Detail & Related papers (2023-03-13T12:45:25Z)
Sufficient condition for gapless spin-boson Lindbladians, and its connection to dissipative time-crystals [64.76138964691705]
We discuss a sufficient condition for gapless excitations in the Lindbladian master equation for collective spin-boson systems. We argue that gapless modes can lead to persistent dynamics in the spin observables with the possible formation of dissipative time-crystals.
arXiv Detail & Related papers (2022-09-26T18:34:59Z)
Unification of Random Dynamical Decoupling and the Quantum Zeno Effect [68.8204255655161]
We show that the system dynamics under random dynamical decoupling converges to a unitary with a decoupling error that characteristically depends on the convergence speed of the Zeno limit. This reveals a unification of the random dynamical decoupling and the quantum Zeno effect.
arXiv Detail & Related papers (2021-12-08T11:41:38Z)
Harmonic oscillator kicked by spin measurements: a Floquet-like system without classical analogous [62.997667081978825]
The impulsive driving is provided by stroboscopic measurements on an ancillary degree of freedom. The dynamics of this system is determined in closed analytical form. We observe regimes with crystalline and quasicrystalline structures in phase space, resonances, and evidences of chaotic behavior.
arXiv Detail & Related papers (2021-11-23T20:25:57Z)
Unpredictability and entanglement in open quantum systems [0.0]
We show that unpredictability and quantum entanglement can coexist even in the long time limit. We show that the required many-body interactions for the cellular automaton embedding can be efficiently realized within a variational quantum simulator platform.
arXiv Detail & Related papers (2021-06-14T18:00:12Z)
Equivalence of approaches to relational quantum dynamics in relativistic settings [68.8204255655161]
We show that the trinity' of relational quantum dynamics holds in relativistic settings per frequency superselection sector. We ascribe the time according to the clock subsystem to a POVM which is covariant with respect to its (quadratic) Hamiltonian.
arXiv Detail & Related papers (2020-07-01T16:12:24Z)
Toda chain flow in Krylov space [77.34726150561087]
We show that the singularity along the imaginary axis, which is a generic behavior for quantum non-integrable many-body system, is due to delocalization in Krylov space.
arXiv Detail & Related papers (2019-12-27T16:40:10Z)

This list is automatically generated from the titles and abstracts of the papers in this site.