Variational-quantum-eigensolver-inspired optimization for spin-chain work extraction

Fuente: arXiv
Salvato in:
Dettagli Bibliografici
Autori principali: Medina, Ivan, Drinko, Alexandre, Correr, Guilherme I., Azado, Pedro C., Soares-Pinto, Diogo O.
Natura: Preprint
Pubblicazione: 2023
Soggetti:
Accesso online:
Tags: Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
_version_ 1866929425518428160
author Medina, Ivan
Drinko, Alexandre
Correr, Guilherme I.
Azado, Pedro C.
Soares-Pinto, Diogo O.
author_facet Medina, Ivan
Drinko, Alexandre
Correr, Guilherme I.
Azado, Pedro C.
Soares-Pinto, Diogo O.
contents The energy extraction from quantum sources is a key task to develop new quantum devices such as quantum batteries (QB). In this context, one of the main figures of merit is the ergotropy, which measures the maximal amount of energy (as work) that can be extracted from the quantum source by means of unitary operations. One of the main issues to fully extract energy from the quantum source is the assumption that any unitary operation can be done on the system. This assumption, in general, fails in practice since the operations that can be done are limited and depend on the quantum hardware (experimental platform) one has available. In this work, we propose an approach to optimize the extractable energy inspired by the variational quantum eigensolver (VQE) algorithm. In this approach, we explicitly take into account a limited set of unitaries by using the hardware efficient asatz (HEA) class of parameterized quantum circuits. As a QB we use an one-dimensional spin chain described by a family of paradigmatic first neighbor Hamiltonians such as the $XXX$,$XXZ$, $XYZ$, $XX$, $XY$ and transverse Ising models. By building our parameterized quantum circuits assuming that different types of connectivity may be available depending on the quantum hardware, we numerically compare the efficiency of work extraction for each model. Our results show that the best efficiency is generally obtained with quantum circuits that have connectivity between first neighbor spins.
format Preprint
id arxiv_https___arxiv_org_abs_2310_07617
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Variational-quantum-eigensolver-inspired optimization for spin-chain work extraction
Medina, Ivan
Drinko, Alexandre
Correr, Guilherme I.
Azado, Pedro C.
Soares-Pinto, Diogo O.
Quantum Physics
The energy extraction from quantum sources is a key task to develop new quantum devices such as quantum batteries (QB). In this context, one of the main figures of merit is the ergotropy, which measures the maximal amount of energy (as work) that can be extracted from the quantum source by means of unitary operations. One of the main issues to fully extract energy from the quantum source is the assumption that any unitary operation can be done on the system. This assumption, in general, fails in practice since the operations that can be done are limited and depend on the quantum hardware (experimental platform) one has available. In this work, we propose an approach to optimize the extractable energy inspired by the variational quantum eigensolver (VQE) algorithm. In this approach, we explicitly take into account a limited set of unitaries by using the hardware efficient asatz (HEA) class of parameterized quantum circuits. As a QB we use an one-dimensional spin chain described by a family of paradigmatic first neighbor Hamiltonians such as the $XXX$,$XXZ$, $XYZ$, $XX$, $XY$ and transverse Ising models. By building our parameterized quantum circuits assuming that different types of connectivity may be available depending on the quantum hardware, we numerically compare the efficiency of work extraction for each model. Our results show that the best efficiency is generally obtained with quantum circuits that have connectivity between first neighbor spins.
title Variational-quantum-eigensolver-inspired optimization for spin-chain work extraction
topic Quantum Physics
url https://arxiv.org/abs/2310.07617