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Chinese Journal of Quantum Electronics

On nonlocal quantum gates

Shu-Dong Fang

Published Jan 1, 2005• 0 citations
OpenAlex

Abstract

The nonlocal quantum gate is discussed. We also propose a scheme for probabilistic implementation of nonlocal controlled-not operation via a nonmaximally entangled quantum channel.

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We present a systematic simple method to implement a generalized quantum control-NOT (CNOT) gate on two d -dimensional distributed systems. First, we show how the nonlocal generalized quantum CNOT gate can be implemented with unity fidelity and unity probability by using a maximally entangled pair of qudits as a quantum channel. We also put forward a scheme for probabilistically implementing the nonlocal operation with unity fidelity by employing a partially entangled qudit pair as a quantum channel. Analysis of the scheme indicates that the use of partially entangled quantum channel for implementing the nonlocal generalized quantum CNOT gate leads to the problem of 'the general optimal information extraction'. We also point out that the nonlocal generalized quantum CNOT gate can be used in the entanglement swapping between particles belonging to distant users in a communication network and distributed quantum computer.