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Quantum Discord, Thermal Discord, and Entropy Generation in the Minimum Error Discrimination Strategy
Omar Jiménez1, Miguel Angel Solís-Prosser2, Leonardo Neves3
1Centro de Óptica e Información Cuántica, Facultad de Ciencias, Universidad Mayor, Camino La Pirámide N°5750, Huechuraba, Santiago, Chile.
Entropy (Basel, Switzerland)
|December 3, 2020
Summary
This study analyzes quantum correlations during minimum error discrimination of quantum states. We found that this process maximizes accessible information and relates entropy generation to thermal discord, aligning with thermodynamic laws.
Area of Science:
- Quantum Information Theory
- Quantum Thermodynamics
- Quantum Correlations
Background:
- Minimum Error Discrimination (ME) is crucial for distinguishing quantum states.
- Understanding classical and quantum correlations in ME is essential.
- Quantum discord and thermal discord quantify quantum correlations.
Purpose of the Study:
- To investigate classical and quantum correlations in the ME of two non-orthogonal pure quantum states.
- To analyze quantum discord, thermal discord, and entropy generation during ME.
- To explore the thermodynamic aspects of the ME process.
Main Methods:
- Analysis of quantum discord and thermal discord.
- Thermodynamic cycle analysis of the ME process.
- Calculation of entropy generation.
Main Results:
- ME achieves accessible information between parties.
- Quantified quantum discord consumed in ME.
- Entropy generation is generally higher than thermal discord, but can be minimal in specific cases.
- The ME process adheres to the second law of thermodynamics.
Conclusions:
- ME is an effective strategy for maximizing information extraction in quantum state discrimination.
- The study provides insights into the interplay between quantum correlations and thermodynamics.
- The ME process can be thermodynamically efficient, minimizing entropy generation under certain conditions.
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