37 citations · 67 across the 5 of their papers we have counts for
5 papers
An Introduction To Geometric Prequantization
Joseph Geraci
Classical mechanics has a natural mathematical setting in symplectic geometry and it may be asked if the same is true for quantum mechanics. More precisely, is it possible to captu…
Classical Ising model test for quantum circuits
J. Geraci, D. A. Lidar
We exploit a recently constructed mapping between quantum circuits and graphs in order to prove that circuits corresponding to certain planar graphs can be efficiently simulated cl…
A BQP-complete problem related to the Ising model partition function via a new connection between quantum circuits and graphs
Joseph Geraci
We present a simple construction that maps quantum circuits to graphs and vice-versa. Inspired by the results of D.A. Lidar linking the Ising partition function with quadratically…
On the Exact Evaluation of Certain Instances of the Potts Partition Function by Quantum Computers
Joseph Geraci, Daniel A. Lidar
We present an efficient quantum algorithm for the exact evaluation of either the fully ferromagnetic or anti-ferromagnetic q-state Potts partition function Z for a family of graphs…
A theorem on the quantum evaluation of Weight Enumerators for a certain class of Cyclic Codes with a note on Cyclotomic cosets
Joseph Geraci, Frank Van Bussel
This note is a stripped down version of a published paper on the Potts partition function, where we concentrate solely on the linear coding aspect of our approach. It is meant as a…