| CPC H04L 9/0852 (2013.01) [H04L 9/0869 (2013.01)] | 18 Claims |

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1. A key generator system, comprising:
a photon source configured to generate a particle;
an N-dimensional quantum random number generator (ND-QRNG), wherein N>3, including:
an optical unit including:
a preparation stage configured to enable certification via value indefiniteness; and
a measurement stage configured to generate numbers and outcomes attained by measuring a state of a particle utilized to prepare an N-dimensional quantum system in a state that satisfies a set of conditions that guarantees there is no definite value associated to the measurement outcome; and
a detector configured to output a sequence of N-ary numbers;
a processor; and
a memory, including instructions stored thereon, which, when executed by the processor cause the system to:
generate, by the photon source, a particle;
receive the particle by the optical unit;
generate by the optical unit a set of outcomes based on the state of the particle;
detect by the detector the set of outcomes;
output by the detector a sequence of N-ary numbers based on the detected set of outcomes;
receive one or more photons on at least one input port of a universal interferometer of the measurement stage of the optical unit; and
measure, using N(N−1)/2 two-dimensional (2D) interferometers of the universal interferometer of the measurement stage, along a Hermitian Unitary operator of a Cartesian coordinate standard system the one or more photons prepared by the preparation stage and preserving three dimensions of quantum information in a Hilbert space of the received one or more photons.
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