Digital-Analog Quantum Computation with Arbitrary Two-Body Hamiltonians

• URL: http://arxiv.org/abs/2307.00966v2
• Date: Thu, 14 Dec 2023 10:05:44 GMT
• Title: Digital-Analog Quantum Computation with Arbitrary Two-Body Hamiltonians
• Authors: Mikel Garcia-de-Andoin, \'Alvaro Saiz, Pedro P\'erez-Fern\'andez, Lucas Lamata, Izaskun Oregi, Mikel Sanz
• Abstract summary: Digital-analog quantum computing is a computational paradigm which employs an analog Hamiltonian resource together with single-qubit gates to reach universality. We design a new scheme which employs an arbitrary two-body source Hamiltonian, extending the experimental applicability of this computational paradigm to most quantum platforms.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Digital-analog quantum computing is a computational paradigm which employs an analog Hamiltonian resource together with single-qubit gates to reach universality. Here, we design a new scheme which employs an arbitrary two-body source Hamiltonian, extending the experimental applicability of this computational paradigm to most quantum platforms. We show that the simulation of an arbitrary two-body target Hamiltonian of $n$ qubits requires $\mathcal{O}(n^2)$ analog blocks with guaranteed positive times, providing a polynomial advantage compared to the previous scheme. Additionally, we propose a classical strategy which combines a Bayesian optimization with a gradient descent method, improving the performance by $\sim55\%$ for small systems measured in the Frobenius norm.

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