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Journal of Anhui University

Probabilistic cloning and orthogonal complementing of an unknown two-particle entangled state

Shi Shou-Hua

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

We propose a protocol for probabilistic cloning of an unknown two-particle entangled state and orthogonal complement state.This protocol has two stage.The first stage of the protocol requires usual teleportation via a four-particle cluster state as a quantum channel.In the second stage,with the assistance of the state preparer,someone can produce the perfect copies and complement copies of an unknown two-particle entangle state.

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Journal of Anhui University•Jan 1, 2009•0 citations
We propose a protocol for probabilistic cloning of an unknown two-particle entangled state and orthogonal complement state.This protocol has two stage.The first stage of the protocol requires usual teleportation via a four-particle cluster state as a quantum channel.In the second stage,with the assistance of the state preparer,someone can produce the perfect copies and complement copies of an unknown two-particle entangle state.
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.
We propose a protocol where one can realize quantum cloning of an unknown two-particle entangled state and its orthogonal complement state with assistance offered by a state preparer. The first stage of the protocol requires usual teleportation using a (or two) four-particle entangled state(s) as quantum channel(s). In the second stage of the protocol, with the assistance (through a two-particle projective measurement) of the preparer, the perfect copies and complement copies of an unknown state can be produced.
We propose a protocol where one can exploit dual quantum and classical channels to achieve perfect ``cloning'' and ``orthogonal-complementing'' of an unknown state with minimal assistance from a state preparer (without revealing what the input state is). The first stage of the protocol requires usual teleportation, and in the second stage the preparer disentangles the leftover entangled states by a single-particle measurement process and communicates a number of classical bits (1-cbit per copy) to different parties so that perfect copies and complement copies are produced. Our protocol produces clones and complement clones of unknown qubit each with a probability 12\frac{1}{2}21​ and clones of real qubit with unit probability.
Two deterministic schemes are proposed to realize the assisted clone of an unknown four-particle entangled cluster-type state. The schemes include two stages. The first stage requires teleportation via maximal entanglement as the quantum channel. In the second stages of the protocols, two novel sets of mutually orthogonal basis vectors are constructed. With the assistance of the preparer through a four-particle or two-step two-particle projective measurement under these bases, the perfect copy of an original state can be produced. Comparing with the previous protocols which produce the unknown state and its orthogonal complement state at the site of the sender, the proposed schemes generate the unknown state deterministically.
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.
We proposed a protocol for probabilistic cloning of an unknown two-particle entangled state and orthogonal complement state based on three particle GHZ state.In this scheme,the state which Alice wants to cloning was completely unknown and arbitrary for Alice and Bob.First,Alice made Bell measurement on his particles and sended his measurement results to Bob via classical channel.After having received Alice's classical message,Bob could reconstruct the original state on her particles by unitary operation and control-not gate operation.Second,Alice could produce the perfect copies and complement copies of an unknown state with assistance of the state preparer.Our scheme also fit to the case that the quantum channel was non-maximally.Furthermore,the quantum entangled resource and the classical communication cost were greatly reduced compared with other protocol.