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Updated: Mar 12, 2026
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Published on: April 4, 2017
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Structure of quantum measurements implementable with one round of classical communication
Arthur Couto Rosa Dutra1,2, Ties-Albrecht Ohst1,3,4, Hai-Chau Nguyen1
1Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Straße 3, 57068 Siegen, Germany.
Summary
This study characterizes measurements using local operations and classical communication (LOCC) in quantum networks. It details LOCC measurement classes, including communication limits and adaptive strategies, impacting state discrimination success.
Area of Science:
- Quantum Information Science
- Quantum Communication Protocols
Background:
- Local Operations and Classical Communication (LOCC) are fundamental to distributed quantum information processing.
- Entangled resource states are crucial for enabling advanced quantum network functionalities.
Purpose of the Study:
- To fully characterize measurement classes implementable via LOCC with restricted classical communication.
- To differentiate between adaptive and non-adaptive LOCC measurement strategies.
- To analyze the impact of communication direction and message size on state discrimination success probability.
Main Methods:
- Utilizing the framework of constrained separability problems for LOCC measurement characterization.
- Developing techniques to distinguish adaptive from non-adaptive measurement strategies.
- Analyzing state ensembles to identify advantages of specific measurement types and strategies.
Main Results:
- A complete characterization of LOCC measurements with one round of classical communication and limited information transfer is provided.
- The success probability of state discrimination is shown to be dependent on communication direction and message size.
- Instances where non-projective measurements and adaptive strategies outperform non-adaptive ones are identified.
Conclusions:
- The study provides a comprehensive framework for understanding LOCC measurements in quantum networks.
- Communication constraints significantly influence the effectiveness of quantum state discrimination.
- Adaptive strategies and non-projective measurements offer advantages in specific quantum information tasks.
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