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Superactivation of bound entanglement
Peter W Shor1, John A Smolin, Ashish V Thapliyal
1AT&T Labs-Research, Florham Park, New Jersey 07932, USA.
Physical Review Letters
|April 12, 2003
Summary
Two nondistillable (bound-entangled) quantum states can create a distillable state when combined, demonstrating superadditivity. Unlockable bound-entangled states are proven to be nonseparable even asymptotically.
Area of Science:
- Quantum Information Science
- Quantum Entanglement Theory
Background:
- Bound-entangled states are a class of quantum states that cannot be distilled into pure entanglement.
- Understanding the properties of bound entanglement is crucial for quantum information processing.
Purpose of the Study:
- To investigate the distillability of composite quantum states formed by combining nondistillable states.
- To determine if unlockable bound-entangled states can be asymptotically unentangled.
Main Methods:
- Analysis of multiparty quantum states.
- Entanglement distillation protocols.
- Asymptotic separability criteria.
Main Results:
- Demonstration that the tensor product of two nondistillable (bound-entangled) states can yield a distillable state.
- This phenomenon exemplifies true superadditivity of distillable entanglement.
- Proof that unlockable bound-entangled states are nonseparable even in the asymptotic limit.
Conclusions:
- The study reveals novel aspects of entanglement manipulation in multiparty systems.
- It provides the first rigorous proof for the existence of truly bound-entangled states that are nondistillable and asymptotically nonseparable.