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International Journal of Quantum Information

SCHEME FOR IMPLEMENTING ASSISTED CLONING OF AN UNKNOWN BIPARTITE D-DIMENSION EQUATORIAL ENTANGLED STATE

PENG-CHENG MA, You-Bang Zhan, Lingling Zhang

Published Jun 1, 2008• 7 citations
Publisher

Abstract

In this paper, we proposed a protocol which can produce a perfect copy of an unknown bipartite d-dimension equatorial entangled state with assistance from a state preparer. In this protocol, the maximally and non-maximally entangled bipartite d-dimension states are used as the quantum channels, respectively. The first stage of the protocol requires usual teleportation. In the second stage of the protocol, with the assistance (two-qudit projective measurement) of the preparer, the perfect copy of an original unknown state can be produced.

DOI
10.1142/s0219749908003578

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In this paper, we proposed a protocol which can produce a perfect copy of an unknown bipartite d-dimension equatorial entangled state with assistance from a state preparer. In this protocol, the maximally and non-maximally entangled bipartite d-dimension states are used as the quantum channels, respectively. The first stage of the protocol requires usual teleportation. In the second stage of the protocol, with the assistance (two-qudit projective measurement) of the preparer, the perfect copy of an original unknown state can be produced.
In this paper, we proposed a protocol which can produce a perfect copy of an unknown bipartite three-dimension equatorial entangled state with assistance from a state preparer. In this protocol, the maximally entangled and non-maximally entangled two-qutrit states are used as the quantum channels, respectively. The first stage of the protocol requires the usual teleportation. In the second stage of the protocol, with the assistance of the preparer, the perfect copy of an original unknown state can be produced.
In this paper, we proposed a protocol which can produce a perfect copy of an unknown three-particle three-dimension equatorial entangled state with assistance from a state preparer. Two stages were included in this protocol. The first stage requires usual teleportation, after Alice's (the state sender) generalized Bell-state measurement. Bob (the state receiver) can get the original state with a certain probability. In the second stage, after having received Victor's (the state preparer) classical message, and using the rest resource of the teleportation process, the perfect copy of an original unknown state can be produced in Alice's place. Furthermore, we have also investigated that the quantum channel is a non-maximally entangled state case. Alice also can re-establish the original unknown state in the certain probability.
We propose a scheme to realize quantum cloning of an unknown M -qudit equatorial-like entangled state. The first stage of the protocol requires teleportation. After the teleportation is accomplished, the receiver can reestablish the original state. In the second stage of the protocol, with the assistance (through a single-particle projective measurement) of the preparer, the perfect copy of an original state can be produced at the site of the sender. Our scheme requires a single maximally entangled qudit pair as the quantum channel and three dits classical communication. The scheme is feasible at the expense of consuming local resources which include M −1 ancillary qudits introduced by the receiver and additional bi-qudit operations. Moreover, we construct a sort of unitary transformations which ensure ancillary qudits are not necessarily introduced by the sender. Comparing to the previous protocols, the proposed protocol is economical due to that the cost of both quantum nonlocal resources and classical communication is lowest.
We present a scheme that can realize quantum cloning of an unknown two-particle entangled state and its orthogonal-complement state with assistance offered by a state preparer, via entangled cluster state as quantum channel. The first stage of the scheme requires usual teleportation via a maximally four-particle entangled cluster state as quantum channel. In the second stage of the scheme, with the assistance (through a two-particle projective measurement) of the preparer, the perfect copies and complement copies of an unknown two-particle entangled state can be obtained. We also put forward a scheme for the teleportation by using nonmaximally entangled quantum channel. The clones and complement clones of unknown state can be produced with certain probability in the latter scheme.
In this paper, we present a scheme which can realize quantum cloning of an unknown N-particle entangled state and its orthogonal complement state with assistance offered by a state preparer. The first stage of the scheme requires usual teleportation via N non-maximally entangled particle pairs as quantum channel. In the second stage of the scheme, with the assistance (through a N-particle projective measurement) of the preparer, the perfect copies and complement copies of an unknown N-particle entangled state can be obtained.