Qudit-native measurement protocol for dynamical correlations using Hadamard tests

Dynamical correlations reveal important out-of-equilibrium properties of the underlying quantum many-body system, yet they are notoriously difficult to measure in experiments. While measurement protocols for dynamical correlations based on Hadamard tests for qubit quantum devices exist, they do not...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2024-07
Main Authors: Popov, Pavel P, Geier, Kevin T, Kasper, Valentin, Lewenstein, Maciej, Hauke, Philipp
Format: Article
Language:English
Subjects:
Algorithms
Correlation
Qubits (quantum computing)
Shot noise
Signal to noise ratio
Spin dynamics
Thermalization (energy absorption)
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Dynamical correlations reveal important out-of-equilibrium properties of the underlying quantum many-body system, yet they are notoriously difficult to measure in experiments. While measurement protocols for dynamical correlations based on Hadamard tests for qubit quantum devices exist, they do not straightforwardly extend to qudits. Here, we propose a modified protocol to overcome this limitation by decomposing qudit observables into unitary operations that can be implemented and probed in a quantum circuit. We benchmark our algorithm numerically at the example of quench dynamics in a spin-1 XXZ chain with finite shot noise and demonstrate advantages in terms of signal-to-noise ratio over established protocols based on linear response. Our scheme can readily be implemented on various platforms and offers a wide range of applications like variational quantum optimization or probing thermalization in many-body systems.
ISSN:2331-8422