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Modern Physics Letters B

TRANSFORMATION FROM PROBABILISTIC CHANNEL TO DETERMINISTIC CHANNEL BASED ON EIGHT-QUBIT QUANTUM CHANNEL

Ming-Qiang Bai, Peng Jia-yin, Zhiwen Mo

Published Jan 17, 2013• 3 citations
Publisher

Abstract

In physics experiments, it is very difficult to realize directly using high-dimensional unitary operations. In order to decrease or avoid the shortage during the teleportation process based on probabilistic channel, we propose a new scheme to reconstruct a deterministic teleportation eight-qubit channel using Bell-state measurements based on the probabilistic channel, which replaces high-dimensional unitary operations. In our scheme, a new quantum channel without alterable parameters replaces the general quantum channel with parameters as probabilistic teleportation. It shows that if we choose an eight-qubit probabilistic channel to construct deterministic channel, the relevant parameters of the eight-qubit probabilistic channel can be avoided. Thus, in quantum teleportation process, quantum channel can be chosen as a deterministic channel. This shows that our scheme makes real experiments more suitable.

DOI
10.1142/s0217984913500309

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In physics experiments, it is very difficult to realize directly using high-dimensional unitary operations. In order to decrease or avoid the shortage during the teleportation process based on probabilistic channel, we propose a new scheme to reconstruct a deterministic teleportation eight-qubit channel using Bell-state measurements based on the probabilistic channel, which replaces high-dimensional unitary operations. In our scheme, a new quantum channel without alterable parameters replaces the general quantum channel with parameters as probabilistic teleportation. It shows that if we choose an eight-qubit probabilistic channel to construct deterministic channel, the relevant parameters of the eight-qubit probabilistic channel can be avoided. Thus, in quantum teleportation process, quantum channel can be chosen as a deterministic channel. This shows that our scheme makes real experiments more suitable.
Teleportation schemes based on probabilistic channels usually rely heavily on the implementation of high-dimensional unitary operations. Since high-dimensional unitary operations are very difficult to directly implement in physics experiments, methods are used to avoid high-dimensional unitary operations during the teleportation process. This paper describes how to construct a deterministic teleportation channel and a control channel using Bell state measurements only instead of high-dimensional unitary operations. Here, the general four-particle and five-particle class states are used as the potential quantum channel and the control channel for deterministic teleportation even without access to the relevant parameters. The results show that this scheme makes physical realization of teleportation more reasonable.
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An explicit scheme for probabilistically teleporting an arbitrary two-qubit state is proposed by using a one-dimensional four-qubit cluster-class state as the quantum channel. In the scheme, the sender first performs two Bell state measurements (BSMs). Then with the sender's help, the receiver can reconstruct the original state probabilistically by introducing an auxiliary qubit and making appropriate unitary operations. Moreover, the total success probability and classical communication cost of the present scheme are also calculated.
This paper presents an approach to deterministically teleport an arbitrary two-qubit state through a one-dimensional four-qubit cluster state serving as a probabilistic quantum channel. The channel is modulated in advance to avoid damage to the original states in this scheme, which is caused by the inevitable failure of constructing a channel between the sender and the receiver. The scheme is flexible because the channel can be modulated either by the sender or by the receiver, with the option of deciding whether the sender or the receiver modulates the channel, according to the distribution of the available particle resources. The efficiency can be improved by reusing previously discarded results that may lead to a faithful channel. The scheme can be uniformly performed, so the design process can be greatly simplified to realize a reliable deterministic teleportation. Finally, the scheme is extended to deterministic teleportation of an arbitrary n-qubit state in a generalized form.
In most probabilistic teleportation schemes, if the teleportation fails, the unknown quantum state will be completely ruined. In addition, the frequently proposed high-dimensional unitary operations are very difficult to realize experimentally. To maintain the integrity of the unknown quantum state to be teleported, this analysis does not focus attention on the original multi-particle state but seeks to construct a faithful channel with an ancillary particle and a unified high-dimensional unitary operation. The result shows that if the construction of the multi-group Einstein-Podolsky-Rosen pair succeeds, the original multi-particle state can be used to deterministically teleport the unknown quantum state of the entangled multiple particles which avoids undermining the integrity of the unknown state brought about by failure. This unified high-dimensional operation is appealing due to the obvious experimental convenience.