Digital-Analog Quantum Computation with Arbitrary Two-Body Hamiltonians
Fuente:
arXiv
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| Autori principali: | , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
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| _version_ | 1866929719577935872 |
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| author | Garcia-de-Andoin, Mikel Saiz, Álvaro Pérez-Fernández, Pedro Lamata, Lucas Oregi, Izaskun Sanz, Mikel |
| author_facet | Garcia-de-Andoin, Mikel Saiz, Álvaro Pérez-Fernández, Pedro Lamata, Lucas Oregi, Izaskun Sanz, Mikel |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_00966 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Digital-Analog Quantum Computation with Arbitrary Two-Body Hamiltonians Garcia-de-Andoin, Mikel Saiz, Álvaro Pérez-Fernández, Pedro Lamata, Lucas Oregi, Izaskun Sanz, Mikel Quantum Physics 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. |
| title | Digital-Analog Quantum Computation with Arbitrary Two-Body Hamiltonians |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2307.00966 |