21 citations
5 papers
Testing the necessity of complex numbers in traditional quantum theory with quantum computers
Jarrett L. Lancaster, Nicholas M. Palladino
A recent experiment testing the necessity of complex numbers in the standard formulation of quantum theory is recreated using IBM quantum computers. To motivate the experiment, we…
A formula for crossing probabilities of critical systems inside polygons
Steven M. Flores, Jacob J. H. Simmons, Peter Kleban +1
In this article, we generalize known formulas for crossing probabilities. Prior crossing results date back to J. Cardy's prediction of a formula for the probability that a percolat…
Multiple-SLE connectivity weights for rectangles, hexagons, and octagons
Steven M. Flores, Jacob J. H. Simmons, Peter Kleban
In a previous article, we define "connectivity weights" to be functions with these two properties: 1) They solve the three conformal Ward identities of conformal field theory (CFT)…
Percolation crossing probabilities in hexagons: a numerical study
Steven M. Flores, Robert M. Ziff, Jacob J. H. Simmons
In a recent article, one of the authors used logarithmic conformal field theory to predict crossing-probability formulas for percolation clusters inside a hexagon with free b…
Logarithmic operator intervals in the boundary theory of critical percolation
Jacob J H Simmons
We consider the sub-sector of the logarithmic conformal field theory (LCFT) generated by the boundary condition changing (bcc) operator in two dimensional critical percolatio…