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Thermodynamics of creating correlations: Limitations and optimal protocols
David Edward Bruschi1, Martí Perarnau-Llobet2, Nicolai Friis3,4
1Racah Institute of Physics and Quantum Information Science Centre, Hebrew University of Jerusalem, 91904 Jerusalem, Israel.
We found the optimal way to convert energy into quantum correlations, like entanglement. The amount of correlations increases linearly with energy, with specific limits for fermions and bosons.
Area of Science:
- Quantum Information Theory
- Quantum Thermodynamics
- Quantum Correlations
Background:
- Correlations and entanglement are key quantum resources.
- Establishing these resources requires energy and is limited by initial entropy.
- Understanding energy-cost of quantum correlations is crucial.
Purpose of the Study:
- Investigate the optimal conversion of energy into quantum correlations.
- Establish general bounds for energy-to-correlation conversion in thermal baths.
- Analyze correlation generation for fundamental particles (fermions and bosons).
Main Methods:
- Theoretical analysis of resource theories.
- Development of a protocol for energy-to-correlation conversion.
- Quantification of correlations using mutual information.
- Analysis of fermionic and bosonic modes.
Main Results:
- Established general bounds for energy-to-correlation conversion.
- Demonstrated linear increase of mutual information with energy, identifying breakdown points.
- Found optimal entangling protocols for fermionic modes.
- Showed Gaussian operations are optimal for high-energy bosonic entanglement.
Conclusions:
- Rigorous connection established between quantum resource theories.
- Optimal energy-to-correlation conversion is possible, with bounds determined.
- Particle statistics (fermionic vs. bosonic) influence optimal entanglement strategies.
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