Optimal Control for Continuous Dynamical Decoupling
- URL: http://arxiv.org/abs/2310.08417v2
- Date: Thu, 20 Jun 2024 18:44:10 GMT
- Title: Optimal Control for Continuous Dynamical Decoupling
- Authors: Nicolas André da Costa Morazotti, Adonai Hilário da Silva, Gabriel Audi, Reginaldo de Jesus Napolitano, Felipe Fernandes Fanchini,
- Abstract summary: We introduce a strategy to develop optimally designed fields for continuous dynamical decoupling (CDD)
Our methodology obtains the optimal continuous field configuration to maximize the fidelity of a general one-qubit quantum gate.
We train a neural network on a subset of geodesic solutions, enabling us to promptly generate the time-dependent control Hamiltonian for any desired gate.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We introduce a strategy to develop optimally designed fields for continuous dynamical decoupling (CDD). Our methodology obtains the optimal continuous field configuration to maximize the fidelity of a general one-qubit quantum gate. To achieve this, considering dephasing-noise perturbations, we employ an auxiliary qubit instead of the boson bath to implement a purification scheme, which results in unitary dynamics. Employing the sub-Riemannian geometry framework for the two-qubit unitary group, we derive and numerically solve the geodesic equations, obtaining the optimal time-dependent control Hamiltonian. Also, due to the extended time required to find solutions to the geodesic equations, we train a neural network on a subset of geodesic solutions, enabling us to promptly generate the time-dependent control Hamiltonian for any desired gate, which is crucial in circuit optimization.
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