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Fewer Measurements from Shadow Tomography with N-Representability Conditions
Irma Avdic1, David A Mazziotti1
1Department of Chemistry and The James Franck Institute, The University of Chicago, Chicago, Illinois 60637, USA.
Physical Review Letters
|June 15, 2024
Summary
This study introduces a new algorithm for quantum many-body simulations using classical shadow tomography. It significantly reduces measurement requirements for accurately determining quantum states and properties on near-term quantum devices.
Area of Science:
- Quantum Information Science
- Computational Quantum Physics
- Quantum Many-Body Systems
Background:
- Classical shadow tomography offers a cost-effective method for quantum state approximation.
- Efficient characterization of complex quantum systems is crucial for advancing quantum computing.
Purpose of the Study:
- To develop an algorithm for reducing measurement counts in many-body system shadow tomography.
- To accelerate the tomography of the two-body reduced density matrix (2-RDM) by integrating N-representability conditions.
Main Methods:
- Combined classical shadows with N-representability constraints for 2-RDM.
- Applied the algorithm to compute ground-state energies and 2-RDMs for hydrogen chains and the N2 dissociation curve.
Main Results:
- Demonstrated a significant reduction in the number of required measurements.
- Successfully computed ground-state energies and 2-RDMs, validating the approach.
Conclusions:
- The developed algorithm enhances the efficiency of quantum state tomography for many-body systems.
- This method has significant implications for quantum many-body simulations on near-term quantum devices.
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