  Measurement outcomes on quantum systems exhibit inherent randomness and are
fundamentally nondeterministic. This has enabled quantum physics to set new
standards for the generation of true randomness with significant applications
in the fields of cryptography, statistical simulations, and modeling of the
nondeterministic behavior in various other fields. In this work, we present a
scheme for the generation of multi-bit random numbers using path-entangled
single photons. Without losing their intrinsic randomness, the protocol allows
us to engineer the distribution from which we sample random numbers. For the
experimental demonstration, we use single photons generated using spontaneous
parametric down-conversion (SPDC), and assign a multi-bit commitment along the
path. One-bit and two-bit random numbers are then generated from measuring
entangled states in the path basis. In addition to passing the NIST tests for
randomness, we also demonstrate the certification of quantumness and
self-certification of quantum random number generator (QRNG) using Clauser,
Horne, Shimony and Holt (CHSH) inequality violation. The path-entangled states
can generate higher bitrates compared to heralded single photon or entangled
photon schemes which are limited by the coincidence counts. The scheme involves
distribution of photons along multiple paths resulting in multiple bits from
one photon and avoids the limitation imposed by the detection dead time of one
detector. We demonstrate this by generating a high rate of about 80 Mbps when
the single photon detector saturates at around 28 Mcps.
