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IEEE Access

Quantum Broadcast and Multicast Schemes Based on Partially Entangled Channel

Nan Zhao, Wandou Li, Yan Yu

Published Jan 1, 2020• 12 citations
Publisher

Abstract

In the study of quantum information transmission based on entanglement, the decoherence induced by surrounding environment has always been one of major factors affecting the effect of quantum state transfer. Therefore, the research on information transmission in partially entangled channels of quantum network is of academic value and general application. Meanwhile, as multi-participating information transmission modes, broadcast and multicast communications are two important applications in quantum information transmission and quantum computation. In this paper, we propose the quantum broadcast and multicast schemes based on partially entangled states. The schemes allow the different recipients to obtain the arbitrary single-qubit states synchronously. We verify the feasibility of the schemes and obtain the success probability of information transmission under the partially entangled channels.

DOI
10.1109/access.2020.2972693

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In the study of quantum information transmission based on entanglement, the decoherence induced by surrounding environment has always been one of major factors affecting the effect of quantum state transfer. Therefore, the research on information transmission in partially entangled channels of quantum network is of academic value and general application. Meanwhile, as multi-participating information transmission modes, broadcast and multicast communications are two important applications in quantum information transmission and quantum computation. In this paper, we propose the quantum broadcast and multicast schemes based on partially entangled states. The schemes allow the different recipients to obtain the arbitrary single-qubit states synchronously. We verify the feasibility of the schemes and obtain the success probability of information transmission under the partially entangled channels.
Broadcast and multi-cast communications are two important applications in quantum information science. Such applications guarantee the implementation of quantum information theory. In this paper, we propose two general schemes for the quantum broadcast and multi-cast communications to ensure that the central party (sender) can broadcast arbitrary single-qubit state to multiple receivers synchronously. Moreover, it is guaranteed that the information among the multiple receivers is different to satisfy the requirement in multi-cast communications. In particular, the proposed schemes indicate the probabilities, of which the multiple receivers obtain the quantum states successfully, could reach 1. We expect this works will shed some light for the prospective research on multi-party quantum communications and quantum cryptography.
Due to the unavoidable interaction between the quantum channel and its ambient environment, it is difficult to generate and maintain the maximally entanglement. Thus, the research on multiparty information transmission via non-maximally entangled channels is of academic value and general application. Here, we utilize the non-maximally entangled channels to implement two multiparty remote state preparation schemes for transmitting different quantum information from one sender to two receivers synchronously. The first scheme is adopted to transmit two different four-qubit cluster-type entangled states to two receivers with a certain probability. In order to improve success probabilities of such multicast remote state preparation using non-maximally entangled channels, we put forward the second scheme, which deals with the situation that is a synchronous transfer of an arbitrary single-qubit state and an arbitrary two-qubit state from one sender to two receivers. In particular, its success probability can reach 100% in principle, and independent of the entanglement degree of the shared non-maximally entangled channel. Notably, in the second scheme, the auxiliary particle is not required.
Broadcast and multicast protocols are two branches of multi-party quantum communication. Implementing these protocols based on partial entanglement is of great practical importance since maximally entangled channels are not robust due to noise applied by the surrounding environment. Previous research has used global operators (i.e. operators which are applied on the qubits owned by different parties), which contradicts the concept of multi-party communication protocols. In this research, broadcast protocol and multicast protocol with two receivers are proposed using partially entangled channels. Then the protocols are extended to the case with an arbitrary number of receivers. In the proposed protocol, Alice shares a two-qubit maximally entangled state with each receiver, therefore the whole channel is a partially entangled state. Then, the proposed protocol is modified to be secure against eavesdroppers. Also, the effects of phase damping, bit flip, and phase damping noise on the broadcast protocol are examined and compared.
With the deepening of research on quantum information transmission, multicast-based quantum teleportation (QT) has attracted considerable attention. In this paper, utilizing the six-qubit cluster state entanglement feature, a synchronous multicast-based QT scheme is presented, which fulfills multicast-based QT among four participants. This means that a controller is not needed, the sender Alice can realize quantum multicast communication successfully and efficiently, which makes the receivers Bob, Charlie and David gain the desired states synchronously with only knowing the measurement outcomes of Alice. Our scheme realizes the synchronous transmission of different coded information. In addition, we analyze the impact of four distinct noises and calculate the fidelities of the output states.
Abstract To implement remote control operations in quantum networks, two schemes for the multi-hop quantum operation teleportation are proposed by using different partially entangled states. One is to adopt high-level partially Bell states as quantum channels, the other is to use high-level partially GHZ-Bell states. By comparing the two schemes, it is found that although both schemes have the same communication delay, the latter has less classical information cost and higher success probability of the communication.
As an important resource, the multiqubit entangled state is widely concerned in quantum computing and quantum communication. Based on the multiqubit partially entangled state, we propose a quantum multicast scheme. In the proposed scheme, arbitrary NNN-qubit Greenberger-Horne-Zeilinger state could be sent to NNN receivers via a 2N2N2N-qubit partially entangled state. Specially, the proposed scheme is accomplished with controlled-not gates, which ensure the scheme is more efficient and easier to be implemented. In addition, we construct the quantum circuit simulations and the partially entangled channel on IBMQ to prove the feasibility of the scheme. Finally, the performance of the proposed scheme is analyzed to show that the scheme owns the higher efficiency.