Recently, Bich et al. (Int. J. Theor. Phys. 51: 2272, 2012) proposed two
deterministic joint remote state preparation (JRSP) protocols of an arbitrary
single-qubit state: one is for two preparers to remotely prepare for a receiver
by using two Einstein-Podolsky-Rosen (ERP) pairs; the other is its generalized
form in the case of arbitrary N>2 preparers via N ERP pairs. In this paper,
Through reviewing and analyzing Bich et al.'s second protocols with N>2
preparers, we find that the success probability P_{suc}=1/4 < 1. In order to
solve the problem, we firstly constructed two sets of projective measurement
bases: the real-coefficient basis and the complex-coefficient one, and further
proposed an improved deterministic N-to-one JRSP protocol for an arbitrary
single-qubit state with unit success probability (i.e, P_{suc}=1). Morever, our
protocol is also flexible and convenient, and it can be used in a practical
network.Comment: 13 pages, 2 figures, two table