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Bounds on multipartite entangled orthogonal state discrimination using local operations and classical communication
M Hayashi1, D Markham, M Murao
1Imai Quantum Computation and Information Project, ERATO, JST, Tokyo 113-0033, Japan.
Physical Review Letters
|February 21, 2006
Summary
Entanglement makes distinguishing multipartite quantum states difficult locally. This difficulty limits the number of states distinguishable by local operations and classical communication, offering operational meaning to entanglement measures.
Area of Science:
- Quantum Information Science
- Quantum Many-Body Physics
Background:
- Distinguishing quantum states is fundamental in quantum information.
- Multipartite entanglement presents unique challenges for state discrimination.
Purpose of the Study:
- To investigate the impact of entanglement on the local discrimination of orthogonal multipartite states.
- To establish bounds on state discrimination based on entanglement properties.
Main Methods:
- Analysis of local operations and classical communication (LOCC).
- Derivation of bounds relating state distinguishability to multipartite entanglement measures.
Main Results:
- Entanglement inherently limits the local discrimination of orthogonal multipartite states.
- The number of locally distinguishable pure states is bounded by the ratio of total dimension to average entanglement.
- A general condition is established for both pure and mixed states.
Conclusions:
- Entanglement provides a fundamental obstacle to local quantum state discrimination.
- The findings offer operational interpretations for abstract entanglement measures.
- These results advance the understanding of quantum correlations in multipartite systems.