Implemetation of a shooting technique for quantum optimal control on spin qudits
- URL: http://arxiv.org/abs/2603.21689v1
- Date: Mon, 23 Mar 2026 08:22:19 GMT
- Title: Implemetation of a shooting technique for quantum optimal control on spin qudits
- Abstract summary: We introduce a shooting-based quantum optimal control algorithm for systems of finite-dimensional Hilbert spaces.<n>We demonstrate its performances through numerical simulations on systems inspired by single molecule magnets.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: High-fidelity control of quantum systems is essential for scalable quantum technologies. We introduce a shooting-based quantum optimal control algorithm for systems of finite-dimensional Hilbert spaces, and demonstrate its performances through numerical simulations on systems inspired from single molecule magnets. Our method efficiently decomposes quantum gates into selective electromagnetic pulses, outperforming the standard GRAPE method against which it is benchmarked, especially in larger Hilbert spaces
Related papers
- Balancing Expressivity and Learnability in Quantum Kernel Bandit Optimization [50.880384999888044]
We develop misspecified GP bandit algorithms and derive regret bounds that characterize the trade-off between approximation error and information gain.<n>Our methods outperform full quantum kernels in sample efficiency, while substantially reducing computational overhead.
arXiv Detail & Related papers (2026-07-01T15:38:00Z) - Robust and optimal control of open quantum systems [12.046723859337044]
We improve the algorithm that suppresses system imperfections and noises, providing notably enhanced scalability for robust and optimal control of open quantum systems.<n>This work represents a notable advancement in quantum optimal control techniques, paving the way for realizing quantum-enhanced technologies in practical applications.
arXiv Detail & Related papers (2026-03-05T15:02:47Z) - Pulse-based optimization of quantum many-body states with Rydberg atoms in optical tweezer arrays [39.58317527488534]
We explore a pulse-based variational quantum eigensolver algorithm for Rydberg atoms in optical tweezer arrays.<n>We numerically demonstrate that the ground states of the one-dimensional antiferromagnetic Heisenberg model and the mixed-field Ising model can be accurately prepared.
arXiv Detail & Related papers (2025-07-25T10:51:49Z) - Calibration of Quantum Devices via Robust Statistical Methods [45.464983015777314]
We numerically analyze advanced statistical methods for Bayesian inference against the state-of-the-art in quantum parameter learning.<n>We show advantages of these approaches over existing ones, namely under multi-modality and high dimensionality.<n>Our findings have applications in challenging quantumcharacterization tasks namely learning the dynamics of open quantum systems.
arXiv Detail & Related papers (2025-07-09T15:22:17Z) - Hierarchical Quantum Control Gates for Functional MRI Understanding [8.839645003062456]
We present a new quantum-based approach named the Hierarchical Quantum Control Gates (HQCG) method for efficient understanding of fMRI data.
Our method operates end-to-end on a quantum machine, leveraging quantum mechanics to learn patterns within extremely high-dimensional fMRI signals.
arXiv Detail & Related papers (2024-08-07T07:24:15Z) - 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) - Effect of the readout efficiency of quantum measurement on the system entanglement [44.99833362998488]
We quantify the entanglement for a particle on a 1d quantum random walk under inefficient monitoring.
We find that the system's maximal mean entanglement at the measurement-induced quantum-to-classical crossover is in different ways by the measurement strength and inefficiency.
arXiv Detail & Related papers (2024-02-29T18:10:05Z) - Measurement-based cooling of many-body quantum systems [0.0]
We introduce a novel technique for efficiently cooling many-body quantum systems with unknown Hamiltonians down to their ground states.
We present numerical simulation results demonstrating the effectiveness of the technique applied to quantum spin chains with long-range and short-range interactions.
arXiv Detail & Related papers (2022-07-24T12:06:04Z) - High-fidelity tracking of the evolution of multilevel quantum states [0.0]
The developed algorithms for quantum control are based on the use of the spinor representation of the Lorentz transformation group.
We show that feedback through weakly perturbing adaptive quantum measurements turns out to be capable of providing high-precision control of the quantum system.
arXiv Detail & Related papers (2022-01-09T19:23:09Z) - Efficient criteria of quantumness for a large system of qubits [58.720142291102135]
We discuss the dimensionless combinations of basic parameters of large, partially quantum coherent systems.
Based on analytical and numerical calculations, we suggest one such number for a system of qubits undergoing adiabatic evolution.
arXiv Detail & Related papers (2021-08-30T23:50:05Z) - Entanglement transfer, accumulation and retrieval via quantum-walk-based
qubit-qudit dynamics [50.591267188664666]
Generation and control of quantum correlations in high-dimensional systems is a major challenge in the present landscape of quantum technologies.
We propose a protocol that is able to attain entangled states of $d$-dimensional systems through a quantum-walk-based it transfer & accumulate mechanism.
In particular, we illustrate a possible photonic implementation where the information is encoded in the orbital angular momentum and polarization degrees of freedom of single photons.
arXiv Detail & Related papers (2020-10-14T14:33:34Z) - Learning control of quantum systems using frequency-domain optimization
algorithms [3.6822065544021]
We use frequency-domain optimization algorithms in the context of ultrafast laser control of quantum systems.
We demonstrate the capability in an ultrafast laser control experiment for the fragmentation of Pr(hfac)$_3$ molecules.
arXiv Detail & Related papers (2020-05-26T23:14:27Z)
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.