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Quantum Nonlocality: Multicopy Resource Interconvertibility and Their Asymptotic Inequivalence.
Subhendu B Ghosh1, Snehasish Roy Chowdhury1, Guruprasad Kar1
1Physics and Applied Mathematics Unit, <a href="https://ror.org/00q2w1j53">203 B.T. Road Indian Statistical Institute</a>, Kolkata 700108, India.
Physical Review Letters
|July 12, 2024
Summary
This study reveals incomparable quantum correlations, challenging resource theories. Even with many copies, one correlation cannot be converted into another, impacting quantum nonlocality distillation.
Area of Science:
- Quantum Information Science
- Quantum Foundations
Background:
- Quantum nonlocality, experimentally verified, has applications in quantum protocols.
- Resource theory quantifies nonlocality via interconversion rates under local operations and shared randomness.
Purpose of the Study:
- To present instances of quantum nonlocal correlations that are incomparable in the strongest sense.
- To challenge the concept of a unique maximally resourceful state in quantum nonlocality.
Main Methods:
- Investigating interconversion rates of quantum correlations under free local operations and shared randomness.
- Analyzing correlations in the simplest Bell scenario (two parties, two dichotomic measurements).
Main Results:
- Demonstrated quantum nonlocal correlations that are mutually unobtainable, even with unlimited copies.
- Showcased uncountable instances of such incomparable correlations in the Bell scenario.
- Provided examples of isotropic quantum correlations not distillable to the Tsirelson point.
Conclusions:
- Established the existence of fundamentally incomparable quantum correlations.
- Challenged the notion of a single 'maximally resourceful state' in quantum nonlocality.
- Partially resolved a long-standing open question regarding nonlocality distillation.
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