9 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
7 papers
Schrodinger's Field Equation
Jacek Mroczkowski
The intrinsic and dynamic kinetic energies, and the potential energies of electron states in the hydrogen atom, were determined using the operator formalism in the Schrodinger nonr…
An Information Theoretic Measure of Judea Pearl's Identifiability and Causal Influence
Robert R. Tucci
In this paper, we define a new information theoretic measure that we call the "uprooted information". We show that a necessary and sufficient condition for a probability $P(s|do(t)…
Introduction to Judea Pearl's Do-Calculus
Robert R. Tucci
This is a purely pedagogical paper with no new results. The goal of the paper is to give a fairly self-contained introduction to Judea Pearl's do-calculus, including proofs of his…
An Adaptive, Fixed-Point Version of Grover's Algorithm
Robert R. Tucci
We give an adaptive, fixed-point version of Grover's algorithm. By this we mean that our algorithm performs an infinite sequence of gradually diminishing steps (so we say it's adap…
Use of Quantum Sampling to Calculate Mean Values of Observables and Partition Function of a Quantum System
Robert R. Tucci
We describe an algorithm for using a quantum computer to calculate mean values of observables and the partition function of a quantum system. Our algorithm includes two sub-algorit…
Quantum Gibbs Sampling Using Szegedy Operators
Robert R. Tucci
We present an algorithm for doing Gibbs sampling on a quantum computer. The algorithm combines phase estimation for a Szegedy operator, and Grover's algorithm. For any , the a…
The Forgotten Night: The Number Devil Explores Spherical Geometry
Marissa L. Weichman
This is a missing chapter from Hans Magnus Enzensberger's mathematical adventure The Number Devil (Henry Holt and Company, New York, 1997). In the book, a math-hating boy named Rob…