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Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 90, Issue 3, 2014, Pages

Limits for entanglement distribution with separable states

(3) Streltsov, Alexander a,b Kampermann, Hermann b Bruß, Dagmar b

a ICFO INSTITUT DE CIENCIES FOTONIQUES (Spain)

b HEINRICH HEINE UNIVERSITY (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ENTANGLEMENT DISTRIBUTION; SEPARABLE STATE;

EID: 84908519390 PISSN: 10502947 EISSN: 10941622 Source Type: Journal
DOI: 10.1103/PhysRevA.90.032323 Document Type: Article

Times cited : (12)

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- From the definition of useful states in Eq. (1) one might assume that those quantum states (Equation presented) that cannot be used for entanglement distribution should obey the general condition (Equation presented) for any division of party (Equation presented) in two subsystems (Equation presented) and (Equation presented). Remarkably, this inequality reduces to the equality (Equation presented). This can be seen by contradiction, starting with a state (Equation presented) that cannot be used for entanglement distribution and assuming the existence of two subsystems (Equation presented) and (Equation presented) such that (Equation presented). Defining (Equation presented) and (Equation presented) we arrive at the inequality (Equation presented). This implies that the corresponding state is useful for entanglement distribution, which is the desired contradiction.
- From the definition of useful states in Eq. (1) one might assume that those quantum states (Equation presented) that cannot be used for entanglement distribution should obey the general condition (Equation presented) for any division of party (Equation presented) in two subsystems (Equation presented) and (Equation presented). Remarkably, this inequality reduces to the equality (Equation presented). This can be seen by contradiction, starting with a state (Equation presented) that cannot be used for entanglement distribution and assuming the existence of two subsystems (Equation presented) and (Equation presented) such that (Equation presented). Defining (Equation presented) and (Equation presented) we arrive at the inequality (Equation presented). This implies that the corresponding state is useful for entanglement distribution, which is the desired contradiction.

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- Note that this argument applies only if the exchanged particle (Equation presented) is a qubit since in this case any rotation on the Bloch sphere corresponds to a unitary operation on the corresponding Hilbert space.
- Note that this argument applies only if the exchanged particle (Equation presented) is a qubit since in this case any rotation on the Bloch sphere corresponds to a unitary operation on the corresponding Hilbert space.

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