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International Journal of Quantum Information

TELEPORTATION CAPABILITY OF FOUR-QUBIT CLUSTER STATE IN ONE-VERSUS-THREE OR THREE-VERSUS-ONE QUBIT DISTRIBUTION

Hua‐Min Gao, Yimin Liu, Mingling Li, Xiansong Liu, Zhanjun Zhang

Published Dec 1, 2009• 1 citation
Publisher

Abstract

The capability of a one-dimensional four-qubit cluster state for teleportation is extensively investigated in the condition that the four qubits are non-averagely distributed between two locations. Because of the inherent qubit orientation of the cluster state, we found that only in eight distributions can an arbitrary single-qubit state be perfectly teleported from a sender to a receiver. For each case, the necessary local operations and classical communication (LOCC) are explicitly shown.

DOI
10.1142/s0219749909005948

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The capability of a one-dimensional four-qubit cluster state for teleportation is extensively investigated in the condition that the four qubits are non-averagely distributed between two locations. Because of the inherent qubit orientation of the cluster state, we found that only in eight distributions can an arbitrary single-qubit state be perfectly teleported from a sender to a receiver. For each case, the necessary local operations and classical communication (LOCC) are explicitly shown.
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A scheme for teleportation of an arbitrary two-qubit state using a four-qubit linear cluster-class state is proposed.Quantum teleportation can be successfully realized with a certain probability if the receiver can adopt an appropriate collective unitary transformation after receiving the sender's Bell-state measurement information.The scheme is more practical than previous ones using maximally entangled states as the quantum channel.In addition,an important conclusion is obtained from the above scheme that a maximally four-qubit entangled state(cluster state)is extracted from a single copy of the cluster-class state with the same probability as the teleportation.
Abstract A quantum channel using two four-qubit cluster states was constructed and the controllable quantum teleportation of an unknown four-qubit W state via this channel was investigated. After three Bell-basis measurements, a Hadamard operation, and two single-qubit projective measurements of the sender Alice and controller Charlie, the recorded measurement results are sent to the receiver Bob via a classical channel. Bob then performs the associated unitary transformation based on the received classical information, after which the unknown four-qubit W state can be teleported with success probability 100%.
Abstract By utilizing the four-qubit cluster state as quantum channel, two efficient quantum schemes for teleporting an arbitrary single-qubit state in a controlled manner are put forward. In one scheme the controller needs to dominate a qubit only, while in another scheme the controller has to hold two qubits. The inspection of the necessary operations indicates that both schemes are feasible in terms of the current technologies. Moreover, these two schemes are compared with two competing schemes which employ the same quantum channel [i.e., the JM-schemes proposed by Jiang and Mo, Int. J. Theor. Phys. 56, 3084 (2017)]. It is found that, in contrast to the JM-schemes, the schemes we proposed have some prominent advantages, such as lower consumption of classical information, fewer necessary local quantum operations, and higher intrinsic efficiency.
The theory of an experimentally feasible four-partite scheme for splitting and open-destination teleportation of an arbitrary two-qubit state is presented. In this scheme, the quantum channel is provided by a pair of four-qubit generalized (G) Bell-states, which are decomposable. We show that not all possible distributions of entangled qubits to four communicating parties result in successful open-destination teleportation. We theoretically prove that two Bell-state measurements performed by a sender result in splitting, distributing, and locking the two-qubit state among three different receivers. The complete details of the procedure for unlocking the shared two-qubit state and eventually regenerating it at the location of any one of the three receiving stations is theoretically analyzed. This unlocking and regeneration procedure consists of local operations and classical communication (LOCC) performed by the remaining two receivers.
Abstract Based on the four-qubit cluster state as quantum channel, we put forward a novel scheme for teleporting a two-qubit arbitrary entangled state. The necessary quantum operations for accomplishing the task are two controlled-not gate operations, one controlled-phase gate operation, four single-qubit measurements and two single-qubit transformed operations. They are easily achievable with current experimental techniques. Besides, the present scheme is deterministic because its probability of success is 100 % .