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We show how a nonlocal and open-target destination quantum controlled-Not (CNOT) gate can be probabilistically implemented by using partially entangled pairs of particles. We first investigate the controlled implementation of a nonlocal and three-target destination CNOT gate using three partially entangled pairs, and then generalize the scheme to the case of N-target destination. In this scheme, Alice’s local generalized measurement described by a positive operator valued measurement (POVM) plays a key role. We construct the required POVM. It is worth noting that deterministic and exact implementation of a nonlocal CNOT gate can be realized using partially entangled pairs.
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Keywords:
- partially entangled pair /
- nonlocal controlled-Not gate /
- open-target destination /
- positive operator valued measurement
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