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Modern Physics Letters B

TRANSFORMATION MATRIX OF NETWORK-CONTROLLED TELEPORTATION

Xiu-Lao Tian

Published Dec 8, 2009• 2 citations
Publisher

Abstract

According to the collapse principle of quantum state when being measured, we present a method of directly writing out transformation matrix by looking at the figure of a network-controlled quantum channel. We find the rule of constructing transformation matrix in network-controlled teleportation. Based on this method, we gain transformation matrix of two-qubit state teleportation in which two GHZ state act as controlled quantum channels. We further proposed a scheme of one-qubit teleportation by a series-controlled quantum channel and teleportation of three-qubit via a typical network controlled quantum channel, in which two-qubit state instead of GHZ state act as quantum channel. So, Hadamard operation is not necessary in our scheme.

DOI
10.1142/s021798490902165x

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According to the collapse principle of quantum state when being measured, we present a method of directly writing out transformation matrix by looking at the figure of a network-controlled quantum channel. We find the rule of constructing transformation matrix in network-controlled teleportation. Based on this method, we gain transformation matrix of two-qubit state teleportation in which two GHZ state act as controlled quantum channels. We further proposed a scheme of one-qubit teleportation by a series-controlled quantum channel and teleportation of three-qubit via a typical network controlled quantum channel, in which two-qubit state instead of GHZ state act as quantum channel. So, Hadamard operation is not necessary in our scheme.
A scheme for teleporting an unknown three-qubit GHZ state under the control of many supervisors is presented.In order to realize the teleportation,the sender Alice needs to perform Bell state measurements on her qubit pairs and all the spatially-separated supervisors should make a Hadamard transformation and a Von Neumann measurement on their own qubit,respectively.Then the receiver Bob can restore the original state by operating some pauli matrixes with the aid of classical message from Alice and supervisors.Anyone's absence will surely fail the teleportotion.
A scheme of teleportation of a N-particle entangled GHZ state through a two-paticle entangled quantum channel was proposed.Firstly,the maximally entangled states were taken as quantum channels, then the case of nonmaximally entangled channels was considered.It was found that by implementing H transformation and von Neumann measurement,introducing an ancilly qubit,when the channels are nonmaxially entangled states,constructing an unitary transformation properly,teleportation of three-paticle entangled GHZ state cound be implemented with certain probability.Finally,the N-particle entangled GHZ state was discussed.Compared with other schemes,this scheme saves the quantum entanglement channel resources.
A scheme of teleportation of a three-particle entangled GHZ state through a two-paticle entangled quantum channels is proposed. the two-particle nonmaximally entangled state is taken as quantum channels, We find that by implementing H transformation and von Neumann measurement,introducing an ancilly qubit, constructing an unitary transformation properly, teleportation of three-paticle entangled GHZ state can be implemented with certain probability. This scheme saves the quantum entanglement channel resources comparing with other shemes.
In this paper, we theoretically realize bidirectional controlled quantum teleportation by using ten-qubit entangled state method. This paper uses a case to introduce the specific process of realizing quantum teleportation: Alice sends an unknown four-qubit GHZ state to Bob, and Bob sends an arbitrary three-qubit GHZ state to Alice. In addition, Charlie controls the transfer to ensure the integrity of the protocol. A ten-qubit quantum channel is constructed and used in this paper. Then, the unitary matrix transformation is used to complete the communication protocol. The research results show that the communication protocol constructed in this paper is more efficient than most communication protocols.
Qudit quantum system can carry more information than that of qubit, the teleportation of qudit state has significance in quantum information task. We propose a method to teleport a general qutrit state (three-level state) and discuss the necessary and sufficient condition for realizing a successful and perfect teleportation, which is determined by the measurement matrix Tα and the quantum channel parameter matrix (CPM) X. By using this method, we study the channels of two-qutrit state and three-qutrit state teleportation.