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quant-ph2026
How to unitarily map between any two pure states with a single closed-form exponential
Peter T. J. Bradshaw, Marcus Gouveia, Jonte R. Hance
It is well-known that any two pure quantum states (in the same Hilbert space) can be mapped to any other using unitary transformations. However, previous approaches to this problem…
quant-ph2023
A Relationship Between Spin and Geometry
Peter T. J. Bradshaw
In a recent paper, algebraic descriptions for all non-relativistic spins were derived by elementary means directly from the Lie algebra $\specialorthogonalliealgebra{3}$, and a con…
quant-ph2022
An Algebraic Theory of Non-Relativistic Spin
Peter T. J. Bradshaw
In this paper we present a new, elementary derivation of non-relativistic spin using exclusively real algebraic methods. To do this, we formulate a novel method to decompose the do…