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Safranek, Dominik
복잡계 이론물리 연구단
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Measuring energy by measuring any other observable

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Title
Measuring energy by measuring any other observable
Author(s)
Dominik Safranek; Dario Rosa
Publication Date
2023-08
Journal
PHYSICAL REVIEW A, v.108, no.2
Publisher
AMER PHYSICAL SOC
Abstract
We present a method to estimate the probabilities of outcomes of a quantum observable, its mean value, and higher moments by measuring any other observable. This method is general and can be applied to any quantum system. In the case of estimating the mean energy of an isolated system, the estimate can be further improved by measuring the other observable at different times. Intuitively, this method uses interplay and correlations between the measured observable, the estimated observable, and the state of the system. We provide two bounds: one that is looser but analytically computable and one that is tighter but requires solving a nonconvex optimization problem. The method can be used to estimate expectation values and related quantities such as temperature and work in setups where performing measurements in a highly entangled basis is difficult, finding use in state-ofthe-art quantum simulators. As a demonstration, we show that in Heisenberg and Ising models of ten sites in the localized phase, performing two-qubit measurements excludes 97.5% and 96.7% of the possible range of energies, respectively, when estimating the ground-state energy.
URI
https://pr.ibs.re.kr/handle/8788114/14080
DOI
10.1103/PhysRevA.108.022208
ISSN
2469-9926
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > 1. Journal Papers (저널논문)
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