Perfect transfer of m-qubit GHZ states

TL;DR

This paper demonstrates perfect transfer of m-qubit GHZ states across Johnson networks using spectral and stratification techniques, extending prior single-qubit transfer methods to multi-qubit entangled states.

Contribution

It introduces a method for perfect transfer of m-qubit GHZ states over Johnson networks, expanding the application of spectral and stratification techniques.

Findings

Achieved perfect transfer of m-qubit GHZ states in Johnson networks.

Extended single-qubit PST techniques to multi-qubit GHZ states.

Validated the approach through spectral and stratification analysis.

Abstract

By using some techniques such as spectral distribution and stratification associated with the graphs, employed in [1,2] for the purpose of Perfect state transfer (PST) of a single qubit over antipodes of distance-regular spin networks and PST of a $d$-level quantum state over antipodes of pseudo-distance regular networks, PST of an m-qubit GHZ state is investigated. To do so, we employ the particular distance-regular networks (called Johnson networks) J(2m,m) to transfer an m-qubit GHZ state initially prepared in an arbitrary node of the network (called the reference node) to the corresponding antipode, perfectly. Keywords: Perfect state transferenc, GHZ states, Johnson network, Stratification, Spectral distribution PACs Index: 01.55.+b, 02.10.Yn