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Communications in Theoretical Physics

High-Dimensional Multi-particle Cat-Like State Teleportation

Bei Zeng, Xiao-Shu Liu, Yansong Li, Long Gui-Lu

Published Nov 15, 2002• 69 citations
Publisher

Abstract

Two kinds of -particle d-dimensional Schmidt-form entangled state teleportation protocols are presented. In the first protocol, the teleportation is achieved by -dimensional Bell-basis measurements, while in the second protocol it is realized by -dimensional GHZ-basis measurement.
DOI
10.1088/0253-6102/38/5/537

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Two kinds of MMM-particle d-dimensional cat-like state teleportation protocols are present. In the first protocol, the teleportation is achieved by d-dimensional Bell-basis measurements, while in the second protocol it is realized by d-dimensional GHZ-basis measurement. It is also shown that the second protocol has a simple mathematical formulation that is identical to Bennett et al's original teleportation protocol for an unknown state of a single particle.
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Two schemes of teleporting an N-particle arbitrary and unknown state are proposed when N groups of three-particle general W states are utilized as quantum channels. In the first scheme, the quantum channels are shared by the sender and the recipient. After the sender's Bell-state measurements on his (her) particles, the recipient carries out unitary transformations on his (her) particles. And then, the recipient performs computational basis measurements to realize the teleportation. The recipient can recover the state on either of particle sequences with the equal maximal probability of successful teleportation if he (she) performs appropriate unitary transformations. In the second scheme, the quantum channels are shared by the sender, the recipient and the third ones. After the sender's Bell-state measurements and the third ones' computational basis measurements if they agree to cooperate, the recipient will introduce auxiliary particles and carry out appropriate unitary transformations. Finally, the recipient performs computational basis measurements to fulfill the teleportation. The second scheme can be realized if and only if the third ones agree to cooperate with the recipient.