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Published on: September 5, 2019
Mutual Information and Quantum Discord in Quantum State Discrimination with a Fixed Rate of Inconclusive Outcomes
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 8580745, Chile.
Researchers explored quantum correlations between Alice and Bob using a fixed rate of inconclusive outcomes (FRIO) discrimination. Minimum error (ME) discrimination maximizes accessible information, while unambiguous state discrimination (UD) is least efficient.
Area of Science:
- Quantum Information Science
- Quantum Communication
- Quantum Measurement Theory
Background:
- Quantum state discrimination is crucial for quantum information processing.
- Minimum Error (ME) and Unambiguous State Discrimination (UD) are established protocols.
- These protocols have diverse applications in quantum information theory.
Purpose of the Study:
- To investigate mutual information and quantum discord under Fixed Rate of Inconclusive Outcomes (FRIO) discrimination.
- To analyze the performance of FRIO discrimination, interpolating between ME and UD.
- To compare the efficacy of discrimination strategies based on accessible information and quantum correlations.
Main Methods:
- Utilized FRIO discrimination on two pure, non-orthogonal quantum states with arbitrary prior probabilities.
- Analyzed mutual information and quantum discord as measures of quantum correlations.
- Compared the performance across different discrimination strategies: ME, UD, and FRIO.
Main Results:
- Maximum accessible information is achieved when Bob employs the Minimum Error (ME) discrimination strategy.
- The efficiency of discrimination, in terms of lost and retained correlations, is highest for ME and lowest for UD.
- FRIO discrimination offers a generalized framework for studying the trade-offs in quantum state discrimination.
Conclusions:
- The Minimum Error (ME) strategy is optimal for maximizing accessible information in quantum state discrimination.
- Quantum correlations (mutual information and quantum discord) are significantly impacted by the choice of discrimination protocol.
- FRIO discrimination provides a versatile approach to understanding the fundamental limits and applications of quantum state discrimination.
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