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Entanglement of indistinguishable particles shared between two parties
1Centre for Quantum Computer Technology, Centre for Quantum Dynamics, School of Science, Griffith University, Brisbane, Queensland 4111, Australia.
Physical Review Letters
|October 4, 2003
Summary
We quantify quantum entanglement for indistinguishable particles using a novel operational definition. This new measure, E(P), captures correlations beyond traditional bipartite entanglement measures, E(M), revealing richer quantum phenomena.
Area of Science:
- Quantum Information Science
- Quantum Many-Body Physics
Background:
- Quantifying entanglement is crucial for understanding quantum systems.
- Existing measures may not fully capture correlations in multipartite systems of indistinguishable particles.
Purpose of the Study:
- To introduce and quantify a novel measure of entanglement, E(P), for indistinguishable particles.
- To compare this new measure with existing bipartite entanglement measures, E(M).
Main Methods:
- Developed an operational definition to quantify entanglement, E(P).
- Analyzed arbitrary pure states of N indistinguishable particles.
- Calculated bipartite entanglement from the mode-occupation representation, E(M).
Main Results:
- Established that E(P) is always less than or equal to E(M).
- Demonstrated that E(P) is superadditive, unlike E(M).
- Showcased E(P)=0 for single-particle states but E(P)=1/2 for the |1>|1> state.
Conclusions:
- The operational entanglement measure E(P) offers a more comprehensive quantification of quantum correlations.
- E(P) effectively captures entanglement in systems of indistinguishable bosons and fermions.
- This work advances the understanding of multipartite entanglement in quantum systems.