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 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 the 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 and probing thermalization in many-body systems.
Authors
- Kevin T. Geier (ORCID: https://orcid.org/0000-0001-9411-3898)
- Maciej Lewenstein (ORCID: https://orcid.org/0000-0002-0210-7800)
- Valentin Kasper (ORCID: https://orcid.org/0000-0001-7687-663X)
- Philipp Hauke (ORCID: https://orcid.org/0000-0002-0414-1754)
- Pavel P. Popov (ORCID: https://orcid.org/0000-0003-3696-7195)
Institutions
- Institució Catalana de Recerca i Estudis Avançats (ES)
- Institute of Photonic Sciences (ES)
- University of Trento (IT)
- Technology Innovation Institute (AE)
- Istituto Nazionale di Fisica Nucleare, Trento Institute for Fundamental Physics And Applications (IT)
Publication Details
- Journal
- Physical review. A/Physical review, A
- Published
- 2025-04-03
- DOI
- https://doi.org/10.1103/physreva.111.042604
- Primary Topic
- Quantum Computing Algorithms and Architecture
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Fundación Cellex
- “la Caixa” Foundation
- National Research Council
- Istituto Nazionale di Fisica Nucleare Sezione di Padova
- Generalitat de Catalunya
- Federación Española de Enfermedades Raras
- Fondazione Bruno Kessler
- Università degli Studi di Trento
- Ministerio de Ciencia e Innovación
- Barcelona Supercomputing Center
- Provincia Autonoma di Trento
- FUNDACIÓ Privada MIR-PUIG
- Ministero dell'Università e della Ricerca
- Horizon 2020 Framework Programme
- European Research Council
- Agència de Gestió d'Ajuts Universitaris i de Recerca
- HORIZON EUROPE Marie Sklodowska-Curie Actions