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Related Experiment Video

Updated: Oct 3, 2025

Development of an Experimental Setup for the Measurement of the Coefficient of Restitution under Vacuum Conditions

Development of an Experimental Setup for the Measurement of the Coefficient of Restitution under Vacuum Conditions

Published on: March 29, 2016

Stabilizer Rényi Entropy.

Lorenzo Leone¹, Salvatore F E Oliviero¹, Alioscia Hamma^1,2

¹Physics Department, University of Massachusetts Boston, Boston, Massachusetts 02125, USA.

Physical Review Letters

|February 18, 2022

Summary

This summary is machine-generated.

We introduce a novel measure for quantum "magic" using Rényi entropy, offering an easily computable method for quantifying nonstabilizerness. This new measure connects to quantum chaos and out-of-time-order correlations.

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Last Updated: Oct 3, 2025

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Area of Science:

Quantum Information Science
Quantum Computing
Quantum Physics

Background:

Nonstabilizerness, or "magic," is a key quantum resource.
Existing measures of nonstabilizerness can be computationally intensive.
Understanding and quantifying magic is crucial for quantum technologies.

Purpose of the Study:

Introduce a novel, easily computable measure for nonstabilizerness.
Explore the resource-theoretic properties of the new measure.
Connect nonstabilizerness to other quantum phenomena like quantum chaos.

Main Methods:

Utilized Rényi entropy of a specific probability distribution derived from quantum states.
Defined the measure as the square of the expectation value of Pauli strings.
Proposed an experimental protocol using randomized measurements.

Main Results:

Developed the "stabilizer Rényi entropy" as a measure of nonstabilizerness.
Demonstrated its validity within resource theory and compared it to existing measures.
Established a connection between nonstabilizerness and out-of-time-order correlation functions.

Conclusions:

The stabilizer Rényi entropy is a practical and efficient measure of quantum magic.
Maximal nonstabilizerness is a necessary condition for quantum chaos.
The new measure facilitates experimental investigation and theoretical understanding of quantum resources.