Abstract We investigate the problem of quantum remote implementation of a single-qubit rotation operation using three-qubit entangled state. Firstly,we utilize the entanglement property of maximally entangled Greenberger--Horne--Zeilinger (GHZ) state to design a theoretical scheme for implementing the operation remotely with unit fidelity and unit probability. Then, we put forward two schemes for conclusive implementing the non-local single-qubit rotation with unit fidelity by employing a partially entangled pure GHZ state as quantum channel. The features of these schemes are that a third side is included,who may participate the process of quantum remote implementation as a supervisor. Furthermore, when the quantum channel is partially entangled,the third side can rectify the state distorted by imperfect quantum channel.In addition to the GHZ class state, the $W$ class state can also be used to remotely implement the same operation probabilistically. The probability of successful implementation using the $W$ class state is always less than that using the GHZ class state.
Received: 08 September 2004
Revised: 14 December 2004
Accepted manuscript online:
PACS:
03.67.Mn
(Entanglement measures, witnesses, and other characterizations)
(Quantum computation architectures and implementations)
Fund: Project supported by the Natural Science Foundation of Guangdong Province, China (Grant No 020127), and the Natural Science Foundation from the Education Bureau of Guangdong Province, China (Grant No Z02069)
Cite this article:
Chen Li-Bing (陈立冰), Lu Hong (路洪), Liu Yu-Hua (刘玉华) Implementing remotely a single-qubit rotation operation by three-qubit entanglement 2005 Chinese Physics 14 1323
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