Joint remote preparation of an arbitrary four-qubit |\c{hi}>-type entangled state

TL;DR

This paper proposes two efficient schemes for the joint remote preparation of arbitrary four-qubit | ext{hi}>-type entangled states using GHZ states, achieving perfect success probability and reduced entanglement resources.

Contribution

It introduces novel measurement bases and protocols that enable perfect success probability and resource efficiency in joint remote state preparation of four-qubit | ext{hi}>-type states.

Findings

Success probability of 1 for the schemes.

Reduced entanglement resource requirements.

Effective collaboration of multiple senders for state reconstruction.

Abstract

We present two schemes for joint remote preparation of an arbitrary four-qubit j\c{hi}i -type entangled state via three three- and (N+1)-qubit GHZ states as the quantum channel, respectively. In these schemes, two senders (or N senders) share the original state which they wish to help the receiver to remotely prepare. To complete the JRSP schemes, several novel sets of mutually orthogonal basis vectors are introduced. It is shown that, only if two senders (or N senders) collaborate with each other, and perform projective measurements under suitable measuring basis on their own qubits respectively, the receiver can reconstruct the original state by means of some appropriate unitary operations and suitable C-NOT gates. Compared with the previous schemes for the JRSP of four-qubit |\c{hi}>-type state, the advantages of the present schemes are that the total successful probability of JRSP can reach 1 and the entanglement resource can be reduced