  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.

Quantum Physics