We put forward two novel and perfect protocols for preparing an arbitrary single–particle state and simultaneously implementing a rotation operator or an arbitrary unitary operator on that particle. There are schemes for either only teleporting particles or only remotely controlling quantun particles. If one has to remotely control a prepared quantum, then he/ she has to first do remote state preparation and then executes the remote control on the prepared quantum. Both operations ware done separately on two sets of entanglements. However, this intuitive solution is inefficient because many resources are wasted. Thus, we attempt to complete both operations by sharing one three–particle Greenberger–Horne– Zeilinger (GHZ) state. Comparing our two protocols with the corresponding intuitive solutions, respectively, the results show that our protocols are more efficient than the corresponding intuitive solutions. Only Pauli operators, controlled–NOT gate, Bell–state measurement, single–qubit measurement, Einstein–Podolsky–Rosen (EPR) state and GHZ state are used in our schemes, so these schemes are easily realized in physical experiment.

Physics & Astronomy International JournalJan 1, 20180 citations

Deterministic and controlled many-to-one and one-to-many remote quantum rotations via partially entangled quantum channels

Hong LU, LiBing CHEN

We show how a many-to-one and a one-to-many controlled remote quantum rotations (CRQRs) can be implemented deterministically and exactly by using partially entangled quantum channels. Firstly, we present a theoretical scheme for a N -to-1 CRQR, in which the quantum rotations initially distributed in N spatially separated qubits can be exactly and deterministically performed onto a remote single qubit via two partially entangled ( N + M +1)-qubit Greenberger-Horne-Zeilinger (GHZ) states without performing any global operations. The feature of this scheme is that, apart from N senders and a receiver, M agents are included in the process as controllers. Should any one of the M agents not cooperate, the receiver could not gain the original rotations. Then, we design another scheme for implementing a 1-to- N CRIC with unit fidelity and unit probability by employing a partially entangled (2 M + N +1)-qubit Einstein-Podolsky-Rosen (EPR)-GHZ state or K partially entangled ( M +2)-qubit GHZ states, in which a quantum rotation can be divided into N pieces ( N K ) and performed from a sender onto N distant receivers via the control of M agents in a quantum network. In these schemes, the senders (or the receivers, or the controllers) local positive operator valued measurement (POVM) lies at the heart. We construct the required POVMs. The fact that deterministic and exact implementation of a many-to-one or a one-to-many CRQR could be realized using partially entangled quantum channel is notable. These schemes can be used to quantum secret sharing, quantum voting, and so on. They definitely have the strong security.

Zhongguo kexue. Wulixue Lixue TianwenxueOct 1, 20149 citations