Verifcation of general multi-qudit pure states

TL;DR

This paper introduces a generalized stabilizer-based method for verifying complex multi-qudit quantum states, including hybrid and composite systems, using only adaptive local measurements, achieving high efficiency.

Contribution

It develops a unified verification framework applicable to a wide range of multi-qudit states, including hybrid architectures, with improved efficiency over existing methods.

Findings

Successfully verifies various multi-qudit states with high efficiency

Applicable to hybrid and composite-dimensional quantum systems

Uses only adaptive local measurements

Abstract

Verifying prepared quantum states is crucial for hybrid systems whose subsystems may have different local dimensions. We present a generalized stabilizer framework and associated test that apply to general multi-qudit states, including composite-dimensional and hybrid architectures. Using only adaptive local measurements, our method verifies qutrit-qubit states, arbitrary two-qubit pure states, Bell/Bell-like, GHZ/GHZ-like, graph, hypergraph, multigraph, and multihypergraph states, with efficiencies matching or surpassing the best known schemes.