Universal Computation with Quantum Fields

Fuente: arXiv
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Autore principale: Ikeda, Kazuki
Natura: Preprint
Pubblicazione: 2019
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author Ikeda, Kazuki
author_facet Ikeda, Kazuki
contents We explore a way of universal quantum computation with particles which cannot occupy the same position simultaneously and are symmetric under exchange of particle labels. Therefore the associated creation and annihilation operators are neither bosonic nor fermionic. In this work we first show universality of our method and numerically address several examples. We demonstrate dynamics of a Bloch electron system from a viewpoint of adiabatic quantum computation. In addition we provide a novel Majorana fermion system and analyze phase transitions with spin-coherent states and the time average of the OTOC (out-of-time-order correlator). We report that a first-order phase transition is avoided when it evolves in a non-stoquastic manner and the time average of the OTOC diagnoses the phase transitions successfully.
format Preprint
id arxiv_https___arxiv_org_abs_1910_02833
institution arXiv
publishDate 2019
record_format arxiv
spellingShingle Universal Computation with Quantum Fields
Ikeda, Kazuki
Quantum Physics
Mesoscale and Nanoscale Physics
High Energy Physics - Theory
We explore a way of universal quantum computation with particles which cannot occupy the same position simultaneously and are symmetric under exchange of particle labels. Therefore the associated creation and annihilation operators are neither bosonic nor fermionic. In this work we first show universality of our method and numerically address several examples. We demonstrate dynamics of a Bloch electron system from a viewpoint of adiabatic quantum computation. In addition we provide a novel Majorana fermion system and analyze phase transitions with spin-coherent states and the time average of the OTOC (out-of-time-order correlator). We report that a first-order phase transition is avoided when it evolves in a non-stoquastic manner and the time average of the OTOC diagnoses the phase transitions successfully.
title Universal Computation with Quantum Fields
topic Quantum Physics
Mesoscale and Nanoscale Physics
High Energy Physics - Theory
url https://arxiv.org/abs/1910.02833