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A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
Published on: September 5, 2019
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Quantum nonlocality without entanglement depending on nonzero prior probabilities in optimal unambiguous
1Department of Applied Mathematics and Institute of Natural Sciences, Kyung Hee University, Yongin, 17104, Republic of Korea.
Scientific Reports
|September 7, 2021
Summary
Nonlocality without entanglement (NLWE) can depend on prior probabilities, even in optimal quantum state discrimination. This phenomenon occurs in multipartite separable states, offering new ways to classify quantum states.
Area of Science:
- Quantum Information Science
- Quantum State Discrimination
- Quantum Foundations
Background:
- Nonlocality without entanglement (NLWE) is a key concept in multipartite quantum state discrimination.
- Traditionally, NLWE in orthogonal separable state discrimination is independent of prior probabilities.
- Recent studies indicate a dependence of NLWE on prior probabilities for nonorthogonal states.
Purpose of the Study:
- To investigate the dependence of NLWE on prior probabilities in optimal unambiguous discrimination of multipartite separable states.
- To explore conditions under which NLWE occurs irrespective of prior probabilities, even with limited local discrimination capabilities.
Main Methods:
- Analysis of optimal unambiguous discrimination protocols for multipartite separable states.
- Mathematical investigation into the role of prior probabilities in the occurrence of NLWE.
- Examination of NLWE in scenarios with partial local discrimination.
Main Results:
- The occurrence of NLWE in optimal unambiguous discrimination is shown to depend on nonzero prior probabilities.
- NLWE is demonstrated to occur independently of prior probabilities, even when only one state is locally distinguishable without error.
- These findings challenge previous assumptions about the role of prior probabilities in NLWE.
Conclusions:
- Prior probabilities significantly influence the manifestation of NLWE in quantum state discrimination.
- New criteria for classifying multipartite quantum states based on NLWE and prior probabilities are proposed.
- The study deepens the understanding of nonlocality in quantum mechanics beyond entangled states.
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