{"title":"算子投影变分量子虚时间演化","authors":"Aeishah Ameera Anuar, Francois Jamet, Fabio Gironella, Fedor Simkovic IV, Riccardo Rossi","doi":"arxiv-2409.12018","DOIUrl":null,"url":null,"abstract":"Variational Quantum Imaginary Time Evolution (VQITE) is a leading technique\nfor ground state preparation on quantum computers. A significant computational\nchallenge of VQITE is the determination of the quantum geometric tensor. We\nshow that requiring the imaginary-time evolution to be correct only when\nprojected onto a chosen set of operators allows to achieve a twofold reduction\nin circuit depth by bypassing fidelity estimations, and reduces measurement\ncomplexity from quadratic to linear in the number of parameters. We demonstrate\nby a simulation of the transverse-field Ising model that our algorithm achieves\na several orders of magnitude improvement in the number of measurements\nrequired for the same accuracy.","PeriodicalId":501226,"journal":{"name":"arXiv - PHYS - Quantum Physics","volume":"105 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Operator-Projected Variational Quantum Imaginary Time Evolution\",\"authors\":\"Aeishah Ameera Anuar, Francois Jamet, Fabio Gironella, Fedor Simkovic IV, Riccardo Rossi\",\"doi\":\"arxiv-2409.12018\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Variational Quantum Imaginary Time Evolution (VQITE) is a leading technique\\nfor ground state preparation on quantum computers. A significant computational\\nchallenge of VQITE is the determination of the quantum geometric tensor. We\\nshow that requiring the imaginary-time evolution to be correct only when\\nprojected onto a chosen set of operators allows to achieve a twofold reduction\\nin circuit depth by bypassing fidelity estimations, and reduces measurement\\ncomplexity from quadratic to linear in the number of parameters. We demonstrate\\nby a simulation of the transverse-field Ising model that our algorithm achieves\\na several orders of magnitude improvement in the number of measurements\\nrequired for the same accuracy.\",\"PeriodicalId\":501226,\"journal\":{\"name\":\"arXiv - PHYS - Quantum Physics\",\"volume\":\"105 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - PHYS - Quantum Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.12018\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Quantum Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.12018","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Operator-Projected Variational Quantum Imaginary Time Evolution
Variational Quantum Imaginary Time Evolution (VQITE) is a leading technique
for ground state preparation on quantum computers. A significant computational
challenge of VQITE is the determination of the quantum geometric tensor. We
show that requiring the imaginary-time evolution to be correct only when
projected onto a chosen set of operators allows to achieve a twofold reduction
in circuit depth by bypassing fidelity estimations, and reduces measurement
complexity from quadratic to linear in the number of parameters. We demonstrate
by a simulation of the transverse-field Ising model that our algorithm achieves
a several orders of magnitude improvement in the number of measurements
required for the same accuracy.