Abstract. A complete set of d + 1 mutually unbiased bases exists in a Hilbert spaces of dimension d, whenever d is a power of a prime. We discuss a simple construction of d+1 disjoint classes (eachâ€¦ (More)

We develop a framework for solving the action of a three-channel passive optical interferometer on single-photon pulse inputs to each channel using SU(3) group-theoretic methods, which can be readilyâ€¦ (More)

By encoding a qudit in a harmonic oscillator and investigating the d â†’ âˆž limit, we give an entirely new realization of continuousâ€“variable quantum computation. The generalized Pauli group isâ€¦ (More)

The purpose of this contribution is twofold: to review how an SU(N) transformation can be experimentally realized using optical elements, and to show how such an experimental realization can be usedâ€¦ (More)

We develop a theory for multi-channel passive optical interferometery with one or zero photon entering each input port, and we show that the output photon coincidences yield information aboutâ€¦ (More)

Jizhou Wu, âˆ— Hubert de Guise, â€ and Barry C. Sanders 4, 5, â€¡ Shanghai Branch, National Laboratory for Physical Sciences at Microscale, University of Science and Technology of China, Shanghai 201315,â€¦ (More)

We obtain coincidence rates for passive optical interferometry by exploiting the permutational symmetries of partially distinguishable input photons, and our approach elucidates qualitative featuresâ€¦ (More)

We analyze the possibility of tomographic reconstruction of a system of three-level atoms in both non-degenerate and degenerate cases. In the non-degenerate case (when both transitions can beâ€¦ (More)

Introduction and Background WignerD-functions are the matrix elements of the representations of finite group SU(n) of n Ã— n special unitary matrices. Wigner D-functions of SU(2) group elements areâ€¦ (More)

Abstract. We show there is a natural connection between Latin squares and commutative sets of monomials defining geometric structures in finite phase-space of prime power dimensions. A complete setâ€¦ (More)