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Joint remote state preparation is a secure and faithful method based on local operation and classical communication to transmit quantum states without the risk of full information leaking to either of the participants. In this work, we propose a new deterministic protocol for two parties to remotely prepare an arbitrary single-qubit state for a third party using two Einstein-Podolsky-Rosen pairs as the nonlocal resource. We figure out the advantages as well as the disadvantages of this new protocol in comparison with others, showing in general that the proposed protocol is superior to the existing ones. We also describe the situation when there are more than two preparers.

We revisit the protocols proposed recently (Zhan et al 2011 J. Phys. B: At. Mol. Opt. Phys. 44 095501) for joint remote preparation of four-qubit cluster-type states. We not only point out errors in those protocols but also make considerable improvements. Our protocols, for both the cases of real and complex coefficients of the state to be prepared, consume much less quantum resource as well as classical communication cost.

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