Abstract
We propose a method to implement akind of non-local operation betweenspatially separated two systems with high dimensions by using only alow-dimensional qubit quantum channel and 2-bit classical communication. Forqutrit systems, we further show the creation of non-local maximallyentangled state and the construction of the non-local quantum XOR gate interms of the obtained non-local operations as well as some single qutritlocal gates.
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