Minimal-Energy Optimal Control of Tunable Two-Qubit Gates in Superconducting Platforms Using Continuous Dynamical Decoupling
- URL: http://arxiv.org/abs/2601.10446v1
- Date: Thu, 15 Jan 2026 14:35:33 GMT
- Title: Minimal-Energy Optimal Control of Tunable Two-Qubit Gates in Superconducting Platforms Using Continuous Dynamical Decoupling
- Authors: Adonai Hilário da Silva, Octávio da Motta, Leonardo Kleber Castelano, Reginaldo de Jesus Napolitano,
- Abstract summary: We present a scheme for generating high-fidelity entangling gates in superconducting platforms by continuous dynamical decoupling (CDD)<n>We suppress residual couplings, calibration drifting, and quasistatic noise, resulting in a stable effective Hamiltonian.<n>These results establish CDD-enhanced variational geometric optimal control as a practical and noise-resilient scheme for designing superconducting entangling gates.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We present a unified scheme for generating high-fidelity entangling gates in superconducting platforms by continuous dynamical decoupling (CDD) combined with variational minimal-energy optimal control. During the CDD stage, we suppress residual couplings, calibration drifting, and quasistatic noise, resulting in a stable effective Hamiltonian that preserves the designed ZZ interaction intended for producing tunable couplers. In this stable $\mathrm{SU}(4)$ manifold, we calculate smooth low-energy single-quibt control functions using a variational geodesic optimization process that directly minimizes gate infidelity. We illustrate the methodology by applying it to CZ, CX, and generic engangling gates, achieving virtually unit fidelity and robustness under restricted single-qubit action, with experimentally realistic control fields. These results establish CDD-enhanced variational geometric optimal control as a practical and noise-resilient scheme for designing superconducting entangling gates.
Related papers
- Active robustness against the detuning-error for Rydberg quantum gates [13.490560482651679]
We introduce a family of Rydberg blockade gates with active robustness towards the impacts of versatile noise sources.
The resulting gates with robust pulses can significantly increase the insensitivity to any type of errors acting on the two-photon detuning.
arXiv Detail & Related papers (2024-04-18T02:32:00Z) - Function Approximation for Reinforcement Learning Controller for Energy from Spread Waves [69.9104427437916]
Multi-generator Wave Energy Converters (WEC) must handle multiple simultaneous waves coming from different directions called spread waves.
These complex devices need controllers with multiple objectives of energy capture efficiency, reduction of structural stress to limit maintenance, and proactive protection against high waves.
In this paper, we explore different function approximations for the policy and critic networks in modeling the sequential nature of the system dynamics.
arXiv Detail & Related papers (2024-04-17T02:04:10Z) - Shaping the Laser Control Landscape of a Hydrogen Transfer Reaction by
Vibrational Strong Coupling. A Direct Optimal Control Approach [0.0]
Simultaneous direct optimal control (SimDOC) theory will be applied to a model system describing H-atom transfer in a lossy Fabry-P'erot cavity.
arXiv Detail & Related papers (2024-01-02T10:34:49Z) - Generation of C-NOT, SWAP, and C-Z Gates for Two Qubits Using Coherent
and Incoherent Controls and Stochastic Optimization [56.47577824219207]
We consider a general form of the dynamics of open quantum systems determined by the Gorini-Kossakowsky-Sudarchhan-Lindblad type master equation.
We analyze the control problems of generating two-qubit C-NOT, SWAP, and C-Z gates using piecewise constant controls and optimization.
arXiv Detail & Related papers (2023-12-09T17:55:47Z) - Hamiltonian Switching Control of Noisy Bipartite Qubit Systems [7.094462708097975]
We develop a Hamiltonian switching ansatz for bipartite control inspired by the Quantum Approximate Optimization Algorithm (QAOA)
We demonstrate effective suppression of both coherent and dissipative noise, with numerical studies achieving target gate implementations with fidelities over 0.9999 (four nines)
We analyze how the control depth, total evolution time, number of environmental TLS, and choice of optimization method affect the fidelity achieved by the optimal protocols.
arXiv Detail & Related papers (2023-04-11T20:12:57Z) - 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) - Optimal control for state preparation in two-qubit open quantum systems
driven by coherent and incoherent controls via GRAPE approach [77.34726150561087]
We consider a model of two qubits driven by coherent and incoherent time-dependent controls.
The dynamics of the system is governed by a Gorini-Kossakowski-Sudarshan-Lindblad master equation.
We study evolution of the von Neumann entropy, purity, and one-qubit reduced density matrices under optimized controls.
arXiv Detail & Related papers (2022-11-04T15:20:18Z) - Multi-squeezed state generation and universal bosonic control via a
driven quantum Rabi model [68.8204255655161]
Universal control over a bosonic degree of freedom is key in the quest for quantum-based technologies.
Here we consider a single ancillary two-level system, interacting with the bosonic mode of interest via a driven quantum Rabi model.
We show that it is sufficient to induce the deterministic realization of a large class of Gaussian and non-Gaussian gates, which in turn provide universal bosonic control.
arXiv Detail & Related papers (2022-09-16T14:18:53Z) - Quantum control of tunable-coupling transmons using dynamical invariants
of motion [0.0]
We analyse the implementation of a fast nonadiabatic CZ gate between two transmon qubits with tuneable coupling.
The gate is based on a description of the resonance between the $|11rangle$ and $|20rangle$ using an effective Hamiltonian with the 6 lowest energy states.
arXiv Detail & Related papers (2022-05-13T10:50:16Z) - Optimal control of a nitrogen-vacancy spin ensemble in diamond for
sensing in the pulsed domain [52.77024349608834]
Defects in solid state materials provide an ideal platform for quantum sensing.
Control of such an ensemble is challenging due to the spatial variation in both the defect energy levels and in any control field across a macroscopic sample.
We experimentally demonstrate that we can overcome these challenges using Floquet theory and optimal control optimization methods.
arXiv Detail & Related papers (2021-01-25T13:01:05Z) - 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)
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.