Efficient classical algorithm for simulating boson sampling with inhomogeneous partial distinguishability

Anonymous

Seungbeom Chin, Joonsuk Huh

Alexandra E. Moylett

Jelmer J. Renema, Adrian J. Menssen, William R. Clements +3 more

We demonstrate how boson sampling with photons of partial distinguishability can be expressed in terms of interference of fewer photons. We use this observation to propose a classical algorithm to simulate the output of a boson sampler fed with photons of partial distinguishability. We find conditions for which this algorithm is efficient, which gives a lower limit on the required indistinguishability to demonstrate a quantum advantage. Under these conditions, adding more photons only polynomially increases the computational cost to simulate a boson sampling experiment.

S. N. van den Hoven, Kanis, E., Jelmer J. Renema

Boson sampling is one of the leading protocols for demonstrating a quantum advantage, but the theory of how this protocol responds to noise is still incomplete. We extend the theory of classical simulation of boson sampling with partial distinguishability to the case where the degree of indistinguishability between photon pairs is different between different pairs.

Changhun Oh, Minzhao Liu, Yuri Alexeev +2 more