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Updated: Jul 6, 2025
08:04
Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
Published on: May 27, 2020
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Efficient and robust estimation of many-qubit Hamiltonians
Daniel Stilck França1,2, Liubov A Markovich3,4, V V Dobrovitski3
1QMATH, Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, 2100, Copenhagen, Denmark. daniel.stilck_franca@ens-lyon.fr.
Nature Communications
|January 8, 2024
Summary
We developed an efficient protocol to characterize quantum device dynamics and noise. This method reduces measurement time-resolution needs and sample complexity for improved quantum technology development.
Area of Science:
- Quantum Information Science
- Quantum Computing
- Quantum Control
Background:
- Characterizing quantum systems is crucial for advancing quantum technologies.
- Understanding Hamiltonian dynamics and Markovian noise is essential for device performance.
Purpose of the Study:
- To propose an efficient protocol for characterizing multi-qubit device dynamics and noise.
- To reduce the complexity and time-resolution requirements for quantum system characterization.
Main Methods:
- Utilizing polynomial interpolation to estimate time-derivatives of few-qubit observables.
- Employing product state preparation and single-qubit measurements.
- Improving shadow tomography for quantum channel characterization.
Main Results:
- Exponential relaxation of time-resolution requirements for finite-range dynamics.
- Quadratic reduction in sample complexity compared to prior methods.
- Capability to characterize systems with algebraically decaying interactions.
Conclusions:
- The proposed protocol offers an efficient and robust method for Hamiltonian learning and noise characterization.
- Applicable to both current and future quantum devices, enabling parallelized learning.
- Enhances the development and reliability of quantum technologies.
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