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D-functions and immanants of unitary matrices and submatrices
Hubert de Guise, Dylan Spivak, Justin Kulp +1
Motivated by recent results in multiphoton interferometry, we expand a result of Kostant on immanants of an arbitrary unitary matrix su to the submatrices o…
Realization of arbitrary discrete unitary transformations using spatial and internal modes of light
Ish Dhand, Sandeep K. Goyal
Any lossless transformation on spatial and internal modes of light can be described by an unitary matrix, but there is no known proced…
Accurate and precise characterization of linear optical interferometers
Ish Dhand, Abdullah Khalid, He Lu +1
We combine single- and two-photon interference procedures for characterizing any multi-port linear optical interferometer accurately and precisely. Accuracy is achieved by estimati…
Algorithms for SU(n) boson realizations and D-functions
Ish Dhand, Barry C. Sanders, Hubert de Guise
Boson realizations map operators and states of groups to transformations and states of bosonic systems. We devise a graph-theoretic algorithm to construct the boson realizations of…