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Published on: August 2, 2019
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Distributed Quantum Incompatibility
Lucas Tendick1, Hermann Kampermann1, Dagmar Bruß1
1Institute for Theoretical Physics III, Heinrich Heine University Düsseldorf, D-40225 Düsseldorf, Germany.
Physical Review Letters
|October 6, 2023
Summary
Quantum measurements that are incompatible are essential for information processing. This study bounds the enhanced incompatibility from adding measurements, revealing it depends on existing measurement incompatibility.
Area of Science:
- Quantum Information Theory
- Quantum Measurement Theory
Background:
- Incompatible (nonjointly measurable) quantum measurements are vital for quantum information processing.
- Increasing the number of distinct measurements generally enhances measurement incompatibility, but the extent and dependencies are unclear.
Purpose of the Study:
- To quantify the enhancement of measurement incompatibility when additional measurements are introduced.
- To establish bounds on this enhanced incompatibility based on the incompatibility of measurement subsets.
Main Methods:
- Derivation of upper and lower bounds for incompatibility gain.
- Construction of explicit examples using mutually unbiased bases to demonstrate bound tightness.
Main Results:
- The incompatibility gained by adding measurements is bounded by functions of the incompatibility of existing measurement subsets.
- Explicit constructions confirm the tightness of some derived bounds.
Conclusions:
- Provides a quantitative understanding of how measurement incompatibility scales with the number of measurements.
- Discusses implications for enhancing nonlocality in Bell experiments through increased measurement complexity.
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