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Communications in Theoretical Physics

Splitting Unknown Qutrit or Ququart States via Two-Qubit Partially Entangled States Channel

Zhang Wen, Kuangwei Xiong, Zuo Xue-Qin, Ziyun Zhang

Published Feb 1, 2013• 3 citations
Publisher

Abstract

In this paper we propose two quantum information splitting (QIS) schemes respectively for splitting an unknown single-qutrit and single-ququart state via three pairs of two-qubit partially entangled state. The necessary measurements and operations are given detailedly and the success probabilities are worked out. The two schemes can be directly generalized to QIS of multi-qutrit and multi-ququart states by using Bell-states channel.

DOI
10.1088/0253-6102/59/2/05

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Splitting Unknown Qutrit or Ququart States via Two-Qubit Partially Entangled States Channel

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In this paper we propose two quantum information splitting (QIS) schemes respectively for splitting an unknown single-qutrit and single-ququart state via three pairs of two-qubit partially entangled state. The necessary measurements and operations are given detailedly and the success probabilities are worked out. The two schemes can be directly generalized to QIS of multi-qutrit and multi-ququart states by using Bell-states channel.
Quantum information splitting (QIS) provides an idea for transmitting the quantum state through a classical channel and a preshared quantum entanglement resource. This paper presents a new scheme for QIS based on a five-qubit cluster state and a Bell state. In this scheme, the sender transmits the unknown three-qubit secret state to two agents by the quantum channel with the Bell basis measurement three times and broadcasts the measurement results to the agents through the classical channel. The agent who restores the secret state can successfully recover the initial information to be transmitted through the appropriate unitary operation with the help of the other party. Firstly, our scheme's process can be accurately realized by performing the applicable Bell basis measurement, single-qubit measurement, and local unitary operation instead of a multiparticle joint measurement. The splitting process of quantum information is realized through a convenient operation. Secondly, compared with some previous schemes, the efficiency of the total scheme has been improved in principle, and the qubit consumption is reduced. Finally, the security of the quantum information splitting scheme is analyzed from the perspectives of external attacks and participant attacks. It is proved that our scheme can effectively resist internal participant attacks and external eavesdropper attacks.
Abstract In quantum information processing, it is essential to ensure the security of quantum information so that it cannot be stolen and interrupted by an eavesdropper. For ensuring the security of information, quantum information splitting (QIS) method is used in which quantum communication is made more secure by splitting the quantum information among the various quantum nodes within a quantum network in such a way that any one node can retrieve the quantum information completely with the collaboration of remaining quantum nodes. In this paper, by using Bell states as the quantum channel we present a simple and precise scheme for quantum information splitting of an arbitrary single-qubit quantum information state among N (N ≥ 2) recipient nodes which are separately entangled with the sender node only and not with one another. We also generalize our scheme to the splitting of multi-qubit quantum information state among the N recipient nodes by using 2-qubit Bell states as the quantum resource. In comparison to the previous existing QIS schemes which require multi-qubit entangled states as the quantum resource, our proposed QIS scheme is very simple and feasible.
A three-party scheme for splitting an arbitrary unknown two-qutrit state is proposed, where two non-maximally-entangled three-qutrit states are taken as the quantum channel among three parties. With the sender's help, if and only if both receivers collaborate together, they can securely share the quantum state in a probabilistic way by introducing an ancilla qutrit and performing appropriate unitary operations. The relation between the success probability and coefficients characterizing the quantum channel is revealed. The security of the present scheme is analyzed and confirmed. Moreover, the generalization of the three-party scheme to more-party case is also sketched.
Quantum information splitting(QIS) or quantum state sharing is the generalization of classical secret sharing schemes to the quantum scenario.In QIS,a piece of quantum information(in the form of a quantum state) is divided and distributed to a number of receivers.A scheme of splitting two-qubit states was proposed by using six-particle maximally entangled state as the quantum channel.Alice first performs two Bell-basis measurement and announces her measurement outcome and assigns Charlie(Bob) to reconstruct the original unknown state.If the controllers Bob(Charlie) agree to help Charlie(Bob) obtain the original state,they should perform single-particle measurements on their respective qubits.After the sender performs Bell-basis measurements on her particles,and the cooperators operate single-particle measurements on their particles,the state receiver can reconstruct the original state of the sender by applying the appropriate unitary operation.
In this paper, we propose a scheme of quantum information splitting arbitrary three-qubit state by using seven-qubit entangled as quantum channel. The sender Alice first performs Bell-state measurements (BSMs) on her qubits pairs respectively and tells her measurement outcome to authorizers Bob to reconstruct the original state, then Charlie should carries out single-qubit measurement (SQM) on his qubits. According to the results from Alice and Charlie, Bob can reconstruct the original state by applying an appropriate unitary operation. After analyzing, the method achieved the desired effect of quantum information splitting (QIS). We also realize the QIS of arbitrary three-qubit state in cavity quantum electrodynamics (QED).