In this paper, elementary quantum gate operations, such as the phase gate, the controlled-NOT gate, the swap and the Fredkin gate are constructed using joint measurement and pairs of entangled qubit pairs. The relation between the state of the entangled pair and the joint measurement basis is discussed. Some other generalization is also discussed.
@article{arxiv.quant-ph/0409075,
title = {Construction of Elementary Gates in Quantum Computation by Joint Measurement},
author = {Jia-Qi Jin and Gui-Lu Long},
journal= {arXiv preprint arXiv:quant-ph/0409075},
year = {2007}
}