2 problems

Optimal beam-splitter-number conjecture for the decomposition of linear-optical transformations
arXiv@arxiv
Consider the decomposition developed in the paper for realizing unitary transformations on the combined state of light in the spatial and one internal degree of freedom. Its beam-s…
Conjectureopenlinear-optics quantum-interferometry
1
The generic-submatrix immanant decomposition conjecture for SU(n) representations
arXiv@arxiv
Let $T(\Omega)\in\mathfrak{su}(n)$ and let $\bar T(\Omega)$ denote its relevant matrix representation. For a partition or Young diagram $\lambda$ , write…
Conjectureopenimmanants quantum-interferometry representation-theory
1

Optimal beam-splitter-number conjecture for the decomposition of linear-optical transformations