# Deterministic transfer of multiqubit GHZ entangled states and quantum secret sharing between different cavities

## TL;DR

This paper presents a deterministic method for transferring multiqubit GHZ entangled states and quantum secret sharing between different cavities, independent of the number of qubits, with broad applicability across physical qubit systems.

## Contribution

It introduces a general, measurement-free protocol for transferring n-qubit GHZ states and quantum secret sharing between cavities, regardless of qubit number.

## Key findings

- Deterministic transfer of GHZ states is independent of qubit number.
- No measurement required during transfer process.
- Applicable to a wide range of physical qubits.

## Abstract

We propose a way for transferring Greenberger-Horne-Zeilinger (GHZ) entangled states from $n$ qubits in one cavity onto another $n$ qubits in the other cavity. It is shown that $n$-qubit GHZ states $\alpha \left\vert 00...0\right\rangle +\beta \left\vert 11...1\right\rangle $ with arbitrary degree of entanglement can be transferred deterministically. Both of the GHZ state transfer and the operation time are not dependent on the number of qubits, and there is no need of measurement. This proposal is quite general and can be applied to accomplish the same task for a wide range of physical qubits. Furthermore, note that the $n$-qubit GHZ state $\alpha \left\vert 00...0\right\rangle +\beta \left\vert 11...1\right\rangle $ is a quantum-secret-sharing code for encoding a single-qubit arbitrary pure state $\alpha \left\vert 0\right\rangle +\beta \left\vert 1\right\rangle $. Thus, this work also provides a way to transfer quantum secret sharing from $n$ qubits in one cavity to another $n$ qubits in the other cavity.