Iterative Linear Quadratic Regulator for Quantum Optimal Control
- URL: http://arxiv.org/abs/2504.10938v1
- Date: Tue, 15 Apr 2025 07:36:32 GMT
- Title: Iterative Linear Quadratic Regulator for Quantum Optimal Control
- Authors: Dirk Heimann, Felix Wiebe, Elie Mounzer, Shivesh Kumar, Frank Kirchner,
- Abstract summary: We establish a connection between the iterative linear quadratic regulator and quantum optimal control by adapting it to gate optimization of quantum systems.<n>We achieve high-fidelity simulation results for X and cross-resonance gates on one- and two-qubit fixed-frequency transmons simulated with two and three levels.
- Score: 5.34772724436823
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Quantum optimal control for gate optimization aims to provide accurate, robust, and fast pulse sequences to achieve gate fidelities on quantum systems below the error correction threshold. Many methods have been developed and successfully applied in simulation and on quantum hardware. In this paper, we establish a connection between the iterative linear quadratic regulator and quantum optimal control by adapting it to gate optimization of quantum systems. We include constraints on the controls and their derivatives to enable smoother pulses. We achieve high-fidelity simulation results for X and cross-resonance gates on one- and two-qubit fixed-frequency transmons simulated with two and three levels.
Related papers
- Using optimal control to guide neural-network interpolation of continuously-parameterized gates [1.989128176079823]
We combine quantum optimal control with physics-informed machine learning to efficiently synthesize control surfaces that interpolate among gate families.<n>Our framework shows how accessible optimal control tools can be combined with simple machine learning to enable practitioners to achieve 3x speedups for their algorithms.
arXiv Detail & Related papers (2024-12-09T16:16:18Z) - Robust Control of Single-Qubit Gates at the Quantum Speed Limit [0.0]
We investigate the underlying robust time-optimal control problem so as to make the best balance.
Based on the Taylor expansion of the system's unitary propagator, we formulate the design problem as the optimal control of an augmented finite-dimensional system.
Numerical simulations for single-qubit systems show that the obtained time-optimal control pulses can effectively suppress gate errors.
arXiv Detail & Related papers (2023-09-11T10:10:58Z) - Optimal State Manipulation for a Two-Qubit System Driven by Coherent and
Incoherent Controls [77.34726150561087]
State preparation is important for optimal control of two-qubit quantum systems.
We exploit two physically different coherent control and optimize the Hilbert-Schmidt target density matrices.
arXiv Detail & Related papers (2023-04-03T10:22:35Z) - 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) - Quantum Gate Generation in Two-Level Open Quantum Systems by Coherent
and Incoherent Photons Found with Gradient Search [77.34726150561087]
We consider an environment formed by incoherent photons as a resource for controlling open quantum systems via an incoherent control.
We exploit a coherent control in the Hamiltonian and an incoherent control in the dissipator which induces the time-dependent decoherence rates.
arXiv Detail & Related papers (2023-02-28T07:36:02Z) - Binary Control Pulse Optimization for Quantum Systems [2.887393074590696]
Quantum control aims to manipulate quantum systems toward specific quantum states or desired operations.
We apply different optimization algorithms and techniques to improve computational efficiency and solution quality.
Our algorithms can obtain high-quality control results, as demonstrated by numerical studies on diverse quantum control examples.
arXiv Detail & Related papers (2022-04-12T12:58:55Z) - Numerical Gate Synthesis for Quantum Heuristics on Bosonic Quantum
Processors [1.195496689595016]
We study the framework in the context of qudits which are controllable electromagnetic modes of a superconducting cavity system.
We showcase control of single-qudit operations up to eight states, and two-qutrit operations, mapped respectively onto a single mode and two modes of the resonator.
arXiv Detail & Related papers (2022-01-19T18:55:13Z) - Optimizing quantum control pulses with complex constraints and few
variables through Tensorflow [0.0]
We show how to apply optimal control algorithms on realistic quantum systems by incorporating multiple constraints into the gradient optimization.
We test our algorithm by finding smooth control pulses to implement single-qubit and two-qubit gates for superconducting transmon qubits with always-on interaction.
Our algorithm provides a promising optimal quantum control approach that is friendly to complex and optional physical constraints.
arXiv Detail & Related papers (2021-10-11T14:59:28Z) - Realization of arbitrary doubly-controlled quantum phase gates [62.997667081978825]
We introduce a high-fidelity gate set inspired by a proposal for near-term quantum advantage in optimization problems.
By orchestrating coherent, multi-level control over three transmon qutrits, we synthesize a family of deterministic, continuous-angle quantum phase gates acting in the natural three-qubit computational basis.
arXiv Detail & Related papers (2021-08-03T17:49:09Z) - Variational Quantum Optimization with Multi-Basis Encodings [62.72309460291971]
We introduce a new variational quantum algorithm that benefits from two innovations: multi-basis graph complexity and nonlinear activation functions.
Our results in increased optimization performance, two increase in effective landscapes and a reduction in measurement progress.
arXiv Detail & Related papers (2021-06-24T20:16:02Z) - Quantum control landscape for ultrafast generation of single-qubit phase
shift quantum gates [68.8204255655161]
We consider the problem of ultrafast controlled generation of single-qubit phase shift quantum gates.
Globally optimal control is a control which realizes the gate with maximal possible fidelity.
Trap is a control which is optimal only locally but not globally.
arXiv Detail & Related papers (2021-04-26T16:38:43Z) - Simulating nonnative cubic interactions on noisy quantum machines [65.38483184536494]
We show that quantum processors can be programmed to efficiently simulate dynamics that are not native to the hardware.
On noisy devices without error correction, we show that simulation results are significantly improved when the quantum program is compiled using modular gates.
arXiv Detail & Related papers (2020-04-15T05:16:24Z)
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.