Towards solving the BCS Hamiltonian gap in Near-Term Quantum Computers

Autor:	Nahum Sá, Ivan S. Oliveira, Itzhak Roditi
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	Quantum Physics Variational Quantum Algorithms Quantum computing Quantum simulation NISQ FOS: Physical sciences General Physics and Astronomy Quantum Physics (quant-ph)
Zdroj:	Results in Physics, 44
ISSN:	2211-3797
Popis:	In this work, using a Noisy Intermediate-Scale Quantum (NISQ) framework, we obtain the gap of a Bardeen- Cooper-Schrieffer (BCS) Hamiltonian. This could lead to interesting implications for superconductivity re-search. For such task, we choose to use the Variational Quantum Deflation and analyze the hardware restrictions that are needed to find the energy spectra on current quantum hardware.We also compare two different kinds of classical optimizers, Constrained Optimization BY Linear Approx-imations (COBYLA) and Simultaneous Perturbation Stochastic Approximation (SPSA), and study the effect of decoherence caused by the presence of noise when using simulations in real devices. We apply our method for an example with both 2 and 5 qubits. Furthermore, we show how to approximate the gap within one standard deviation, even with the presence of noise. Results in Physics, 44 ISSN:2211-3797
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f471ea002fbe00b15a33853d9a1ce462 http://arxiv.org/abs/2105.14936 Zobrazit plný text záznamu