Optimal shortcut-to-adiabaticity quantum control
- URL: http://arxiv.org/abs/2503.20130v1
- Date: Wed, 26 Mar 2025 00:46:19 GMT
- Title: Optimal shortcut-to-adiabaticity quantum control
- Authors: C. L. Latune, D. Sugny, S. Guérin,
- Abstract summary: We introduce a new class of Shortcut-To-Adiabaticity protocols with minimal energy expenditure.<n>The control process produces the same transformation as a counterdiabatic drive, but at the lowest possible energy cost.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We introduce a new class of Shortcut-To-Adiabaticity (STA) protocols with minimal energy expenditure. The control process produces the same transformation as a counterdiabatic drive, but at the lowest possible energy cost. We apply optimal control theory to analytically design the latter for a qubit. We discuss the robustness of this control scheme with respect to a standard STA approach.
Related papers
- Energy control in a quantum oscillator using coherent control and engineered environment [83.88591755871734]
We develop and analyze a new method for manipulation of energy in a quantum harmonic oscillator using coherent, electromagnetic, field and incoherent control.
An approach to coherent and incoherent controls design based on the speed gradient algorithms is proposed.
A robustified speed-gradient control algorithm in differential form is also proposed.
arXiv Detail & Related papers (2024-03-25T20:44:46Z) - Direct pulse-level compilation of arbitrary quantum logic gates on superconducting qutrits [36.30869856057226]
We demonstrate any arbitrary qubit and qutrit gate can be realized with high-fidelity, which can significantly reduce the length of a gate sequence.
We show that optimal control gates are robust to drift for at least three hours and that the same calibration parameters can be used for all implemented gates.
arXiv Detail & Related papers (2023-03-07T22:15:43Z) - Fast adiabatic control of an optomechanical cavity [62.997667081978825]
We present a shortcut to adiabaticity for the control of an optomechanical cavity with two moving mirrors.
We find analytical expressions that give us effective trajectories which implement a STA for the quantum field inside the cavity.
arXiv Detail & Related papers (2022-11-09T15:32:28Z) - Shortcuts to Adiabaticity with Inherent Robustness and without Auxiliary
Control [5.948596206157954]
Shortcuts to adiabaticity (STA) are fast methods to realize the same final state evolution of quantum adiabatic process.
We develop a general theory to construct a new kind of STA by solely sampling the points of the adiabatic path of the original adiabatic Hamiltonian.
Based on path sampling, the resulting STA protocols are simple and can avoid points of adiabatic path that are challenging to implement.
arXiv Detail & Related papers (2022-11-04T16:06:57Z) - Skip Training for Multi-Agent Reinforcement Learning Controller for
Industrial Wave Energy Converters [94.84709449845352]
Recent Wave Energy Converters (WEC) are equipped with multiple legs and generators to maximize energy generation.
Traditional controllers have shown limitations to capture complex wave patterns and the controllers must efficiently maximize the energy capture.
This paper introduces a Multi-Agent Reinforcement Learning controller (MARL), which outperforms the traditionally used spring damper controller.
arXiv Detail & Related papers (2022-09-13T00:20:31Z) - A Quantum Optimal Control Problem with State Constrained Preserving
Coherence [68.8204255655161]
We consider a three-level $Lambda$-type atom subjected to Markovian decoherence characterized by non-unital decoherence channels.
We formulate the quantum optimal control problem with state constraints where the decoherence level remains within a pre-defined bound.
arXiv Detail & Related papers (2022-03-24T21:31:34Z) - Counterdiabatic Optimised Local Driving [0.0]
Adiabatic protocols are employed across a variety of quantum technologies.
The problem of speeding up these processes has garnered a large amount of interest.
Two approaches are complementary: optimal control manipulates control fields to steer the dynamics.
shortcuts to adiabaticity aim to retain the adiabatic condition upon speed-up.
arXiv Detail & Related papers (2022-03-03T19:00:00Z) - Optimal control of stimulated Raman adiabatic passage in a
superconducting qudit [22.4182419394983]
We introduce an optimally controlled shortcut-to-adiabatic technique to speed up the STIRAP protocol in a superconducting qudit.
By modifying the shapes of the STIRAP pulses, we experimentally realize a fast (32 ns) and high-fidelity quantum state transfer.
arXiv Detail & Related papers (2021-11-22T03:32:51Z) - Geodesic path for the minimal energy cost in shortcuts to isothermality [4.156535226615695]
Shortcut to isothermality is a driving strategy to steer the system to its equilibrium states within finite time.
Finding optimal scheme to minimize the energy cost is of critical importance in applications of this strategy in pharmaceutical drug test, biological selection, and quantum computation.
arXiv Detail & Related papers (2021-10-18T09:44:29Z) - Competitive Control [52.28457815067461]
We focus on designing an online controller which competes against a clairvoyant offline optimal controller.
A natural performance metric in this setting is competitive ratio, which is the ratio between the cost incurred by the online controller and the cost incurred by the offline optimal controller.
arXiv Detail & Related papers (2021-07-28T22:26:27Z) - Connection between inverse engineering and optimal control in shortcuts
to adiabaticity [10.925879590519434]
We consider fast high-fidelity control by using a shortcut to adiabaticity (STA) technique and optimal control theory ( OCT)
Three specific examples, including expansion of cold atoms from the harmonic trap, atomic transport by moving harmonic trap, and spin dynamics in the presence of dissipation, are explicitly detailed.
arXiv Detail & Related papers (2021-01-09T16:20:43Z) - Time-local optimal control for parameter estimation in the Gaussian
regime [68.8204255655161]
instantaneous control unitaries may be used to mitigate the decrease of information caused by an open dynamics.
A possible, locally optimal (in time) choice for such controls is the one that maximises the time-derivative of the quantum Fisher information.
arXiv Detail & Related papers (2020-01-10T16:24:31Z)
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.