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Round complexity in the local transformations of quantum and classical states
Eric Chitambar1, Min-Hsiu Hsieh2
1Department of Physics and Astronomy, Southern Illinois University, Carbondale, IL, 62901, USA. echitamb@siu.edu.
Nature Communications
|December 14, 2017
Summary
Understanding communication rounds in distributed computing is key. This study shows that
Area of Science:
- Quantum information science
- Classical information theory
- Distributed computing
Background:
- Distributed information processing involves parties coordinating actions via public communication.
- The precise impact of communication rounds on operational capabilities is not fully understood.
- Entanglement transformation and secrecy manipulation are key locality-constrained tasks.
Purpose of the Study:
- To determine the minimum number of communication rounds for entanglement transformation and secrecy manipulation.
- To establish a baseline for resource-efficient distributed information processing.
Main Methods:
- Developed explicit constructions for quantum and classical state transformations.
- Utilized the shared structure of resource theories for quantum entanglement and classical secret key.
Main Results:
- Demonstrated that 'r' rounds of classical communication are both sufficient and necessary for specific state transformations.
- Showcased a direct correlation between communication rounds and task complexity.
Conclusions:
- Complex communication protocols are essential for fully utilizing quantum and classical information-theoretic resources.
- The findings provide a theoretical framework for optimizing distributed information processing protocols.
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