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Entanglement cost of implementing controlled-unitary operations · Around

2010

Entanglement cost of implementing controlled-unitary operations

Soeda, Akihito, Turner, Peter S., Murao, Mio

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We investigate the minimum entanglement cost of the deterministic implementation of two-qubit controlled-unitary operations using local operations and classical communication (LOCC).

We show that any such operation can be implemented by a three-turn LOCC protocol, which requires at least 1 ebit of entanglement when the resource is given by a bipartite entangled state with Schmidt number 2.
Our result implies that there is a gap between the minimum entanglement cost and the entangling power of controlled-unitary operations.
This gap arises due to the requirement of implementing the operations while oblivious to the identity of the inputs.

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