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math.CO2019
On the Algebraic Combinatorics of Injections and its Applications to Injection Codes
Peter J. Dukes, Ferdinand Ihringer, Nathan Lindzey
We consider the algebraic combinatorics of the set of injections from a -element set to an -element set. In particular, we give a new combinatorial formula for the spherical…
quant-ph2019
A Tight Lower Bound for Non-coherent Index Erasure
Nathan Lindzey, Ansis Rosmanis
The Index-Erasure problem is a quantum state generation problem that asks a quantum computer to prepare a uniform superposition over the image of an injective function given by an…