Measurement-Altered Ising Quantum Criticality

Quantum critical systems constitute appealing platforms for exploring novel measurement-induced phenomena due to their innate sensitivity to perturbations. We study the impact of measurements on paradigmatic Ising quantum-critical chains using an explicit protocol, whereby correlated ancillae are en...

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Main Authors: Sara Murciano, Pablo Sala, Yue Liu, Roger S. K. Mong, Jason Alicea
Format: Article
Language:English
Published: American Physical Society 2023-12-01
Series:Physical Review X
Online Access:http://doi.org/10.1103/PhysRevX.13.041042
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author Sara Murciano
Pablo Sala
Yue Liu
Roger S. K. Mong
Jason Alicea
author_facet Sara Murciano
Pablo Sala
Yue Liu
Roger S. K. Mong
Jason Alicea
author_sort Sara Murciano
collection DOAJ
description Quantum critical systems constitute appealing platforms for exploring novel measurement-induced phenomena due to their innate sensitivity to perturbations. We study the impact of measurements on paradigmatic Ising quantum-critical chains using an explicit protocol, whereby correlated ancillae are entangled with the critical chain and then projectively measured. Using a perturbative analytic framework supported by extensive numerical simulations, we demonstrate that measurements can qualitatively alter critical correlations in a manner dependent on the choice of entangling gate, ancilla measurement basis, measurement outcome, and nature of ancilla correlations. We further show that measurement-altered Ising criticality can be pursued surprisingly efficiently in experiments featuring of order 100 qubits by postselecting for high-probability measurement outcomes or, in certain cases, by averaging observables separately over measurement outcomes residing in distinct symmetry sectors. Our framework naturally adapts to more exotic quantum-critical points and highlights opportunities for realization in noisy intermediate-scale quantum hardware and in Rydberg arrays.
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spelling doaj.art-40a650f802694448a24533677ca7bf632023-12-05T17:09:34ZengAmerican Physical SocietyPhysical Review X2160-33082023-12-0113404104210.1103/PhysRevX.13.041042Measurement-Altered Ising Quantum CriticalitySara MurcianoPablo SalaYue LiuRoger S. K. MongJason AliceaQuantum critical systems constitute appealing platforms for exploring novel measurement-induced phenomena due to their innate sensitivity to perturbations. We study the impact of measurements on paradigmatic Ising quantum-critical chains using an explicit protocol, whereby correlated ancillae are entangled with the critical chain and then projectively measured. Using a perturbative analytic framework supported by extensive numerical simulations, we demonstrate that measurements can qualitatively alter critical correlations in a manner dependent on the choice of entangling gate, ancilla measurement basis, measurement outcome, and nature of ancilla correlations. We further show that measurement-altered Ising criticality can be pursued surprisingly efficiently in experiments featuring of order 100 qubits by postselecting for high-probability measurement outcomes or, in certain cases, by averaging observables separately over measurement outcomes residing in distinct symmetry sectors. Our framework naturally adapts to more exotic quantum-critical points and highlights opportunities for realization in noisy intermediate-scale quantum hardware and in Rydberg arrays.http://doi.org/10.1103/PhysRevX.13.041042
spellingShingle Sara Murciano
Pablo Sala
Yue Liu
Roger S. K. Mong
Jason Alicea
Measurement-Altered Ising Quantum Criticality
Physical Review X
title Measurement-Altered Ising Quantum Criticality
title_full Measurement-Altered Ising Quantum Criticality
title_fullStr Measurement-Altered Ising Quantum Criticality
title_full_unstemmed Measurement-Altered Ising Quantum Criticality
title_short Measurement-Altered Ising Quantum Criticality
title_sort measurement altered ising quantum criticality
url http://doi.org/10.1103/PhysRevX.13.041042
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