Remote Information Concentration:the Reverse of the Optimal AsymmetricEconomical 1→3 Phase-covariant Telecloning

The aim of this paper is to investigate remote information concentration(RIC)based on the optimal asymmetric economical 1→3 phase-covariant telecloning.Firstly,using maximally entangled W-type states as quantum channel,we put forth two RIC schemes by projective and POVM measurement,respectively.Moreover,we generalize the above protocols via non-maximally entangled W-typestate as quantum channel.Secondly,by projective measurement,we propose two RIC protocols by employing maximally entangled GHZ-type and four-qubit cluster state as quantum channel,respectively.Comparing the above protocols,the probability of RIC is always one when maximally entangled GHZ-type state is employed as quantum channel,but for W-type and cluster state, the probabilities present functions about the parameters of cloning state or quantum channel.Among the GHZ-type state,cluster state and W-type state as quantum channel,the recovering operation for the former is simplest,but that for the last is most complex.Finally,weobtained that the above protocols are securie and experimental realization.