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Journal of Hengyang Normal University

Multiparty-controlled Teleportation of an Unknown Quantum State Using a Smolin State

Xie Li-Jun

Published Jan 1, 2009• 0 citations
OpenAlex

Abstract

A scheme for controlled teleportation of an unknown one-qubit quantum state is presented,which utilize a Smolin state as quantum channel.By employing a 2(n+1)-qubit Smolin states,the scheme can be used to teleport an unknown one-qubit quantum state via the control of n parties.In addition,and this scheme can be directly generalized to teleport an unknown one-qudit quantum sate.

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A scheme for controlled teleportation of an unknown one-qubit quantum state is presented,which utilize a Smolin state as quantum channel.By employing a 2(n+1)-qubit Smolin states,the scheme can be used to teleport an unknown one-qubit quantum state via the control of n parties.In addition,and this scheme can be directly generalized to teleport an unknown one-qudit quantum sate.
There is much interest in the multiparty quantum communications where quantum teleportation using high dimensional entangled quantum channel is one of the promising tools. In this paper, we propose a more general scheme for M-party controlled teleportation of an arbitrary N-particle quantum state using N-1 identical Einstein-Podolsky-Rosen pairs and one (M+2)-particle Greenberger-Horne-Zeilinger state together as quantum channel. Based on which a 2-party controlled teleportation of an arbitrary 3-particle state is tested with our scheme as an example.
We present a general scheme for multiparty-controlled teleportation of an arbitrary m -qudit ( d -dimensional quantum system) state by using non-maximally entangled states as the quantum channel. The sender performs m generalized Bell-state measurements on her 2 m particles, the controllers take some single-particle measurements with the measuring basis X d and the receiver only needs to introduce one auxiliary two-level particle to extract quantum information probabilistically with the fidelity unit if he cooperates with all the controllers. All the parties can use some decoy photons to set up their quantum channel securely, which will forbid a dishonest party to eavesdrop freely. This scheme is optimal as the probability that the receiver obtains the originally unknown m -qudit state equals the entanglement of the quantum channel.
We present a general scheme for multiparty-controlled teleportation of an arbitrary m-qudit (ddd-dimensional quantum system) state by using non-maximally entangled states as the quantum channel. The sender performs m generalized Bell-state measurements on her 2mmm particles, the controllers take some single-particle measurements with the measuring basis XdX_{d}Xd​ and the receiver only need to introduce one auxiliary two-level particle to extract quantum information probabilistically with the fidelity unit if he cooperates with all the controllers. All the parties can use some decoy photons to set up their quantum channel securely, which will forbid some a dishonest party to eavesdrop freely. This scheme is optimal as the probability that the receiver obtains the originally unknown m-qudit state equals to the entanglement of the quantum channel.
A multiparty-controlled teleportation (M-CT) scheme for securely teleporting an arbitrary unknown single-qubit state by using generalised Greenberger-Horne-Zeilinger (GHZ) states is presented in this paper, i.e., a sender, Alice, transmits an arbitrary single-qubit state to a distant receiver, Bob, under approving by all N controllers Charliei(i = 1, 2, …, N) in a quantum communication network. It is proved feasibly and easily to realise by quantum entanglement. The security of proposed scheme is also discussed. We make sure of the security of the quantum channel between the parties by decoy states. This scheme also can be used to share a quantum secret information in quantum secret sharing.
We present a (t, n) threshold multiparty controlled quantum teleportation protocol of an arbitrary m-qubit quantum state between two remote parties. The unknown m-qubit quantum state can be recovered by the receiver under control of a subset of the n controllers if the number of the subset is larger than or equal to a threshold, say, t, but not for any t – 1 or fewer controllers. Our scheme seems to be more practical and more flexible than other existing protocols. The quantum resource required is just m Einstein–Podolsky–Rosen (EPR) pairs plus some single photons. The techniques required are only Bell state measurement, single-qubit unitary operation and von Neumann measurement. So our scheme is also feasible with present-day technique.