Remote interactions between two d-dimensional distributed quantum systems： nonlocal generalized quantum control-NOT gate and entanglement swapping

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.[第一段]

Remote interactions between two d -dimensional distributed quantum systems: nonlocal generalized quantum control-NOT gate and entanglement swapping

We present a systematic simple method to implement a generalizedquantum control-NOT (CNOT) gate on two $d$-dimensionaldistributed systems. First, we show how the nonlocal generalizedquantum CNOT gate can be implemented with unity fidelity andunity probability by using a maximally entangled pair of quditsas a quantum channel. We also put forward a scheme forprobabilistically implementing the nonlocal operation with unityfidelity by employing a partially entangled qudit pair as aquantum channel. Analysis of the scheme indicates that the useof partially entangled quantum channel for implementing thenonlocal generalized quantum CNOT gate leads to the problem of`the general optimal information extraction'. We also point outthat the nonlocal generalized quantum CNOT gate can be used inthe entanglement swapping between particles belonging to distantusers in a communication network and distributed quantumcomputer.