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NISQ algorithm for the matrix elements of a generic observable
by Rebecca Erbanni, Kishor Bharti, Leong-Chuan Kwek, Dario Poletti
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Submission summary
| Authors (as registered SciPost users): | Kishor Bharti · Rebecca Erbanni · Dario Poletti |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2205.10058v1 (pdf) |
| Date submitted: | July 25, 2022, 4:14 a.m. |
| Submitted by: | Kishor Bharti |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
The calculation of off-diagonal matrix elements has various applications in fields such as nuclear physics and quantum chemistry. In this paper, we present a noisy intermediate scale quantum algorithm for estimating the diagonal and off-diagonal matrix elements of a generic observable in the energy eigenbasis of a given Hamiltonian. Several numerical simulations indicate that this approach can find many of the matrix elements even when the trial functions are randomly initialized across a wide range of parameter values without, at the same time, the need to prepare the energy eigenstates.
Current status:
Has been resubmitted