Efficient verification of Boson Sampling

TL;DR

This paper presents an efficient verification protocol for Boson Sampling experiments using Gaussian measurements, facilitating the demonstration of quantum speedup and reliable certification of complex quantum states.

Contribution

It introduces a novel verification method for continuous-variable quantum circuits, including Boson Sampling, using single-mode Gaussian measurements, improving validation efficiency.

Findings

Enables efficient verification of Boson Sampling outputs.

Allows reliable certification of complex quantum states.

Supports demonstration of quantum speedup with photonic systems.

Abstract

The demonstration of quantum speedup, also known as quantum computational supremacy, that is the ability of quantum computers to outperform dramatically their classical counterparts, is an important milestone in the field of quantum computing. While quantum speedup experiments are gradually escaping the regime of classical simulation, they still lack efficient verification protocols and rely on partial validation. Here we derive an efficient protocol for verifying with single-mode Gaussian measurements the output states of a large class of continuous-variable quantum circuits demonstrating quantum speedup, including Boson Sampling experiments, thus enabling a convincing demonstration of quantum speedup with photonic computing. Beyond the quantum speedup milestone, our results also enable the efficient and reliable certification of a large class of intractable continuous-variable multimode quantum states.