arXiv Open Access 2023

A quantum Monte Carlo algorithm for arbitrary spin-1/2 Hamiltonians

Lev Barash Arman Babakhani Itay Hen

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Abstrak

We present a universal parameter-free quantum Monte Carlo (QMC) algorithm designed to simulate arbitrary spin-$1/2$ Hamiltonians. To ensure the convergence of the Markov chain to equilibrium for every conceivable case, we devise a clear and simple automated protocol that produces QMC updates that are provably ergodic and satisfy detailed balance. We demonstrate the applicability and versatility of our method by considering several illustrative examples, including the simulation of the XY model on a triangular lattice, the toric code, and random $k$-local Hamiltonians. We have made our program code freely accessible on GitHub.

Topik & Kata Kunci

physics.comp-ph cond-mat.other quant-ph

Penulis (3)

Lev Barash

Arman Babakhani

Itay Hen

Format Sitasi

APA MLA BibTeX

Barash, L., Babakhani, A., Hen, I. (2023). A quantum Monte Carlo algorithm for arbitrary spin-1/2 Hamiltonians. https://arxiv.org/abs/2307.06503

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓