Efficient Verification of Boson Sampling Using a Quantum Computer

TL;DR

This paper demonstrates a method for verifying boson sampling experiments on a quantum computer using heterodyne detection, enhancing the reliability of quantum speedup validation and its application in quantum key distribution.

Contribution

It applies existing verification protocols to a real IBM quantum device for boson sampling and QKD, improving experimental validation techniques.

Findings

Successful fidelity estimation on IBMQ 'athens' chip

Verification protocols applicable to entangled multi-particle states

Potential for more robust quantum experiment certification

Abstract

Boson sampling is a sub-universal model used to show quantum speed-up. However, the methods of validation to prove quantum speedup are not robust and accurate. All verification methods involve additional or little studied assumptions. Here, we use the protocols given in the paper [arXiv:2006.03520] to construct a boson sampling experiment using discrete quantum states on IBM quantum computer and verify the fidelity of the output states using heterodyne detection. We demonstrate the protocols for single mode fidelity estimation, multi mode fidelity estimation and a verification protocol using IBMQ "athens" chip. Moreover, we illustrate the use of this verification protocol in the quantum key distribution (QKD) process for estimating the fidelity of different types of encoding-decoding basis. This shows that the verification protocols can be used to enable efficient and reliable certification of highly entangled multi-particle states.