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.

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.

As research on quantum computers and quantum information transmission deepens, the multi-particle and multi-mode quantum information transmission has been attracting increasing attention. For scenarios where multi-parties transmit sequentially increasing qubits, we put forward a novel (N + 1)-party cyclic remote state preparation (RSP) protocol among an arbitrary number of players and a controller. Specifically, we employ a four-party scheme in the case of a cyclic asymmetric remote state preparation scheme and demonstrate the feasibility of the scheme on the IBM Quantum Experience platform. Furthermore, we present a general quantum channel expression under different circulation directions based on the n-party. In addition, considering the impact of the actual environment in the scheme, we discuss the feasibility of the scheme affected by different noises.