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Related Experiment Video

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Generation and Coherent Control of Pulsed Quantum Frequency Combs

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Simulability of High-Dimensional Quantum Measurements.

Marie Ioannou¹, Pavel Sekatski¹, Sébastien Designolle¹

¹Department of Applied Physics, University of Geneva, 1211 Geneva, Switzerland.

Physical Review Letters

|November 18, 2022

Summary

This summary is machine-generated.

We explore quantum information compression using measurements, quantifying measurement incompatibility. Full compression is possible only if measurements are jointly measurable, linking to quantum channel concepts.

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Area of Science:

Quantum Information Science
Quantum Measurement Theory
Quantum Information Compression

Background:

Investigating quantum information compression requires understanding the properties of measurement sets.
The concept of simulability aims to recover quantum state statistics after compression.
Measurement incompatibility is a key challenge in quantum information processing.

Purpose of the Study:

To define and investigate quantum information compression with respect to a set of high-dimensional measurements.
To establish a connection between full quantum compression and joint measurability.
To quantify measurement incompatibility in terms of dimensionality reduction.

Main Methods:

Developing a notion of simulability based on compressing quantum states and subsequent measurements.
Utilizing semidefinite programming for constructing simulation models.
Analytical construction of optimal simulation models for specific measurement types.

Main Results:

Full quantum compression is achievable if and only if the measurement set is jointly measurable.
Simulatability quantifies measurement incompatibility in terms of dimension.
Optimal simulation models were constructed for projective measurements under noise and losses.

Conclusions:

The study provides a framework for understanding quantum information compression and its relation to measurement properties.
Simulatability offers a new perspective on quantifying measurement incompatibility.
The findings connect to broader concepts in quantum channels and correlations.