Verification of colorable hypergraph states with stabilizer test

TL;DR

This paper introduces a fault-tolerant stabilizer test protocol for verifying large-scale colorable hypergraph states in quantum systems, simplifying measurements and enabling applications like blind quantum computing.

Contribution

It presents a novel verification method using only Pauli-X and Z measurements, improving efficiency over adaptive stabilizer tests for hypergraph states.

Findings

Protocol is fault-tolerant and measurement-efficient.

Applicable to blind quantum computing.

Simplifies verification process for hypergraph states.

Abstract

Many-body quantum states, as a matter of fact, are extremely essential to solve certain mathematical problems or simulate quantum systems in measurement-based quantum computation. However, how to verify large scale quantum states, such as hypergraph states, is an exceedingly hard task for multi-body quantum systems. Here, we propose a novel fault-tolerant solution for verification of colorable hypergraph states by using stabilizer test. Compared with the adaptive stabilizer test, our protocol is dramatically facilitating by making only Pauli-X and Pauli-Z measurement. As to appliance, it will be also applied to blind quantum computing.