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Using classical shadows to restore symmetries in quantum computing

Published on:

8 November 2023

Primary Category:

Quantum Physics

Paper Authors:

Edgar Andres Ruiz Guzman,

Denis Lacroix

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Key Details

Presents a quantum-classical hybrid approach to symmetry restoration using classical shadows

Performs symmetry projections classically after quantum state preparation

Applicable to parity, particle number, and spin symmetry restoration

Competitive with fully quantum methods in precision and efficiency

Reduces quantum resources required compared to on-device projection

AI generated summary

Using classical shadows to restore symmetries in quantum computing

This paper introduces a method to enforce symmetries in quantum computing using 'classical shadows' - a classical representation of quantum states. Rather than performing symmetry projections on the quantum device, projections are done as classical post-processing on the classical shadow. This delegates the delicate symmetry restoration task to classical computing while still leveraging quantum resources for state preparation. The method is illustrated for parity, particle number, and spin symmetry restoration.

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