Hou, Kui; Wang, Hong-Yan; Li, Yi-Bao Two schemes for probabilistic remote preparation of a four-particle entangled cluster-type state. (English) Zbl 1284.81059 Commun. Theor. Phys. 61, No. 3, 305-314 (2014). Summary: Using partial entangled states as the quantum channel, two schemes for probabilistic remote preparation of the four-particle cluster-type state with real and complex coefficients are presented. In the first scheme, the sender and the receiver share two partial Bell states and one partial three-qubit GHZ stats as the quantum channel, and the sender can help a remote receiver to prepare a four-particle entangled cluster-type state by using three-qubit projective measurements with certain probability. In the second scheme, the quantum channel is composed of two partial three-qubit GHZ states, the remote state preparation (RSP) can be successfully realized via the positive operator valued measure (POVM), and the two-particle projective measurements are also needed in this process. The total success probability and classical communication cost are calculated. Cited in 3 Documents MSC: 81P45 Quantum information, communication, networks (quantum-theoretic aspects) 81P40 Quantum coherence, entanglement, quantum correlations 81P15 Quantum measurement theory, state operations, state preparations 81P16 Quantum state spaces, operational and probabilistic concepts Keywords:remote state preparation; GHZ state; positive operator-valued measure; classical information PDFBibTeX XMLCite \textit{K. Hou} et al., Commun. Theor. Phys. 61, No. 3, 305--314 (2014; Zbl 1284.81059) Full Text: DOI