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Communications in Theoretical Physics

Implementation of Non-local Operations for High-Dimensional Systems Through Qubit Quantum Channels

Zeng Hao-Sheng, Jianjun Nie, Kuang Le-Man

Published Nov 1, 2007• 1 citation
Publisher

Abstract

We propose a method to implement a kind of non-local operation between spatially separated two systems with high dimensions by using only a low-dimensional qubit quantum channel and 2-bit classical communication. For qutrit systems, we further show the creation of non-local maximally entangled state and the construction of the non-local quantum XOR gate in terms of the obtained non-local operations as well as some single qutrit local gates.

DOI
10.1088/0253-6102/48/5/019

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We present two optimal schemes for non-local implementing a single-qubit rotation operation via a maxi-mally entangled quantum channel. We report on the quantitative relations between the quantum action,entangled and classical communication resources required in the implementation. We also put forward twoschemes for conclusive implementing the non-local quantum single-qubit rotation via a partially entangledquantum channel. Both these methods can appropriately be referred to as qubit-assisted processes.
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