Constrained optimization of sequentially generated entangled multiqubit states

TL;DR

This paper introduces a matrix-product state based method for optimizing the sequential generation of entangled multiqubit states under experimental constraints, enabling efficient and approximate state preparation.

Contribution

It presents a novel local optimization approach leveraging matrix-product states to generate entangled multiqubit states sequentially with limited ancillary resources.

Findings

Effective optimization procedure for state generation

Applicable to realistic experimental setups

Enables approximate generation of complex entangled states

Abstract

We demonstrate how the matrix-product state formalism provides a flexible structure to solve the constrained optimization problem associated with the sequential generation of entangled multiqubit states under experimental restrictions. We consider a realistic scenario in which an ancillary system with a limited number of levels performs restricted sequential interactions with qubits in a row. The proposed method relies on a suitable local optimization procedure, yielding an efficient recipe for the realistic and approximate sequential generation of any entangled multiqubit state. We give paradigmatic examples that may be of interest for theoretical and experimental developments.