Protocol using kicked Ising dynamics for generating states with maximal multipartite entanglement

TL;DR

This paper introduces a solvable model based on kicked Ising dynamics that generates highly entangled states suitable for measurement-based quantum computing, with specific boundary conditions affecting entanglement development.

Contribution

It presents a new, exactly solvable protocol using a variant of the transverse field Ising model to produce states with maximal multipartite entanglement.

Findings

Maximal entanglement achieved between blocks during protocol

Entanglement is zero in periodic chains, but specific open boundary instances show entanglement

States produced have high multipartite entanglement useful for quantum computing

Abstract

We present a solvable model of iterating cluster state protocols that lead to entanglement production, between contiguous blocks, of 1 ebit per iteration. This continues till the blocks are maximally entangled at which stage an unravelling begins at the same rate till the blocks are unentangled. The model is a variant of the transverse field Ising model and can be implemented with CNOT and single qubit gates. The inter qubit entanglement as measured by the concurrence is shown to be zero for periodic chain realizations while for open boundaries there are very specific instances at which these can develop. Thus we introduce a class of simply produced states with very large multipartite entanglement content of potential use in measurement based quantum computing.