Noise robust detection of quantum phase transitions

Lively, Kevin; Bode, Tim; Szangolies, Jochen; Zhu, Jian-Xin; Fauseweh, Benedikt

doi:10.1103/PhysRevResearch.6.043254

Title: Noise robust detection of quantum phase transitions

Journal Article · 09 December 2024 · Physical Review Research

DOI: https://doi.org/10.1103/PhysRevResearch.6.043254 · OSTI ID:2480749

;

; Zhu, Jian-Xin; Fauseweh, Benedikt

Quantum computing allows for the manipulation of highly correlated states whose properties quickly go beyond the capacity of any classical method to calculate. Thus one natural problem which could lend itself to quantum advantage is the study of ground-states of condensed matter models, and the transitions between them. However, current levels of hardware noise can require extensive application of error-mitigation techniques to achieve reliable computations. In this work, we use several IBM devices to explore a finite-size spin model with multiple “phaselike” regions characterized by distinct ground-state configurations. Using preoptimized Variational Quantum Eigensolver (VQE) solutions, we demonstrate that in contrast to calculating the energy, where zero-noise extrapolation is required in order to obtain qualitatively accurate yet still unreliable results, calculations of the energy derivative, two-site spin correlation functions, and the fidelity susceptibility yield accurate behavior across multiple regions, even with minimal or no application of error-mitigation approaches. Taken together, these sets of observables could be used to identify level crossings in a simple, noise-robust manner which is agnostic to the method of ground state preparation. This work shows promising potential for near-term application to identifying quantum phase transitions, including avoided crossings and nonadiabatic conical intersections in electronic structure calculations. Published by the American Physical Society 2024

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Sponsoring Organization:: USDOE

OSTI ID:: 2480749

Journal Information:: Physical Review Research, Journal Name: Physical Review Research Journal Issue: 4 Vol. 6; ISSN 2643-1564; ISSN PPRHAI

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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