Classical dissipative cost of quantum control
- URL: http://arxiv.org/abs/2204.03012v3
- Date: Thu, 14 Jul 2022 08:26:07 GMT
- Title: Classical dissipative cost of quantum control
- Authors: Anthony Kiely, Steve Campbell and Gabriel T. Landi
- Abstract summary: We study the irreversible entropy produced by the classical apparatus generating the control fields.
We focus on the case of time-dependent magnetic fields and shortcuts to adiabaticity.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Protocols for non-adiabatic quantum control often require the use of
classical time varying fields. Assessing the thermodynamic cost of such
protocols, however, is far from trivial. In this letter we study the
irreversible entropy produced by the classical apparatus generating the control
fields, thus providing a direct link between the cost of a control protocol and
dissipation. We focus, in particular, on the case of time-dependent magnetic
fields and shortcuts to adiabaticity. Our results are showcased with two
experimentally realisable case studies: the Landau-Zener model of a spin-1/2
particle in a magnetic field and an ion confined in a Penning trap.
Related papers
- Shortcuts to adiabaticity in harmonic traps: a quantum-classical analog [0.10713888959520208]
We present a new technique for efficiently transitioning a quantum system from an initial to a final stationary state.
Our approach makes use of Nelson's quantization, which represents the quantum system as a classical Brownian process.
arXiv Detail & Related papers (2024-05-03T09:19:24Z) - Quantum-Enhanced Metrology for Molecular Symmetry Violation using
Decoherence-Free Subspaces [5.5922849070931795]
We propose a method to measure time-reversal symmetry violation in molecules that overcomes the standard quantum limit.
The protocol does not require an external electric field, and the entangled states have no first-order sensitivity to static electromagnetic fields.
arXiv Detail & Related papers (2023-07-12T00:42:34Z) - Quantum geometry and bounds on dissipation in slowly driven quantum
systems [0.0]
We show that heat production in slowly driven quantum systems is linked to the topological structure of the driving protocol.
Our results bridge topological phenomena and energy dissipation in slowly driven quantum systems.
arXiv Detail & Related papers (2023-06-29T18:00:03Z) - Quantum Effects on the Synchronization Dynamics of the Kuramoto Model [62.997667081978825]
We show that quantum fluctuations hinder the emergence of synchronization, albeit not entirely suppressing it.
We derive an analytical expression for the critical coupling, highlighting its dependence on the model parameters.
arXiv Detail & Related papers (2023-06-16T16:41:16Z) - Entanglement dynamics of spins using a few complex trajectories [77.34726150561087]
We consider two spins initially prepared in a product of coherent states and study their entanglement dynamics.
We adopt an approach that allowed the derivation of a semiclassical formula for the linear entropy of the reduced density operator.
arXiv Detail & Related papers (2021-08-13T01:44:24Z) - Probing quantum effects with classical stochastic analogs [0.0]
We propose a method to construct a classical analog of an open quantum system.
The classical analog is made out of a collection of identical wells where classical particles of mass $m$ are trapped.
arXiv Detail & Related papers (2020-12-13T18:02:27Z) - 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) - Optical and spin manipulation of non-Kramers rare-earth ions under weak
magnetic field for quantum memory applications [0.0]
This article focuses on the effect of a dc bias magnetic field on the population manipulation of non-Kramers ions with nuclear quadrupole states.
The developed analysis should allow to predict optimal magnetic field configurations for various protocols.
arXiv Detail & Related papers (2020-11-10T14:23:46Z) - Exploring 2D synthetic quantum Hall physics with a quasi-periodically
driven qubit [58.720142291102135]
Quasi-periodically driven quantum systems are predicted to exhibit quantized topological properties.
We experimentally study a synthetic quantum Hall effect with a two-tone drive.
arXiv Detail & Related papers (2020-04-07T15:00:41Z) - From a quantum theory to a classical one [117.44028458220427]
We present and discuss a formal approach for describing the quantum to classical crossover.
The method was originally introduced by L. Yaffe in 1982 for tackling large-$N$ quantum field theories.
arXiv Detail & Related papers (2020-04-01T09:16:38Z) - 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.