End-to-End Efficient Quantum Thermal and Ground State Preparation Made Simple

Fuente: arXiv
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Autori principali: Ding, Zhiyan, Zhan, Yongtao, Preskill, John, Lin, Lin
Natura: Preprint
Pubblicazione: 2025
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author Ding, Zhiyan
Zhan, Yongtao
Preskill, John
Lin, Lin
author_facet Ding, Zhiyan
Zhan, Yongtao
Preskill, John
Lin, Lin
contents We propose new quantum algorithms for thermal and ground state preparation based on system-bath interactions. These algorithms require only forward evolution under a system-bath Hamiltonian in which the bath is a single reusable ancilla qubit, making them especially well-suited for early fault-tolerant quantum devices. By carefully designing the bath and interaction Hamiltonians, we prove that the fixed point of the dynamics accurately approximates the desired quantum state. Furthermore, we establish theoretical guarantees on the mixing time, and thereby providing a rigorous justification for the end-to-end efficiency of system-bath interaction models in thermal and ground state preparation, for several physically relevant systems.
format Preprint
id arxiv_https___arxiv_org_abs_2508_05703
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle End-to-End Efficient Quantum Thermal and Ground State Preparation Made Simple
Ding, Zhiyan
Zhan, Yongtao
Preskill, John
Lin, Lin
Quantum Physics
We propose new quantum algorithms for thermal and ground state preparation based on system-bath interactions. These algorithms require only forward evolution under a system-bath Hamiltonian in which the bath is a single reusable ancilla qubit, making them especially well-suited for early fault-tolerant quantum devices. By carefully designing the bath and interaction Hamiltonians, we prove that the fixed point of the dynamics accurately approximates the desired quantum state. Furthermore, we establish theoretical guarantees on the mixing time, and thereby providing a rigorous justification for the end-to-end efficiency of system-bath interaction models in thermal and ground state preparation, for several physically relevant systems.
title End-to-End Efficient Quantum Thermal and Ground State Preparation Made Simple
topic Quantum Physics
url https://arxiv.org/abs/2508.05703