Joint remote preparation of a four-dimensional quantum state

TL;DR

This paper introduces protocols for jointly remotely preparing a four-dimensional quantum state using multi-particle entangled states, requiring collaboration between senders and specific measurements.

Contribution

It presents new protocols for joint remote state preparation of four-dimensional states utilizing two- and three-particle entangled channels with collaboration requirements.

Findings

Protocols enable successful state reconstruction with sender collaboration.

Use of generalized projective measurements and unitary operations.

Protocols applicable to four-dimensional quantum systems.

Abstract

We propose various protocols for joint remotely prepare a four-dimensional quantum state by using two- and three-particle four-dimensional entangled state as the quantum channel. The single- and two-particle generalized projective measurement and the appropriate unitary operation are needed in our protocols. It is shown that the receiver can reconstruct the unknown original state only if two senders collaborate with each other.