10 citations · 13 across the 9 of their papers we have counts for
10 papers
Quantum circuits for permutation matrices
Jason Hanson
Two different algorithms are presented for generating a quantum circuit realization of a matrix representing a permutation on letters. All circuits involve qubits and onl…
Spinors in extended Minkowski space
Jason Hanson
The exterior algebra of Minkowski space naturally has the structure of a sixteen-dimensional Clifford algebra representation, and so can be used as the space of spinors. We examine…
Forces on an exterior algebra bundle
Jason Hanson
In a previous article, the exterior algebra bundle over spacetime was used as a common geometric framework for obtaining the Dirac and Einstein equations, with other forces incorpo…
Forces on a Clifford bundle
Jason Hanson
In a companion article, the Clifford bundle over spacetime was used as a geometric framework for obtaining coupled Dirac and Einstein equations. Other forces may be incorporated us…
Coupling the Dirac and Einstein equations through geometry
Jason Hanson
We show that the exterior algebra bundle over a curved spacetime can be used as framework in which both the Dirac and the Einstein equations can be obtained. These equations and th…
The exponential of the spin representation of the Lorentz algebra
Jason Hanson
As discussed in a previous article, any (real) Lorentz algebra element possess a unique orthogonal decomposition as a sum of two mutually annihilating decomposable Lorentz algebra…