36 citations · 110 across the 15 of their papers we have counts for
21 papers
Truncated Modular Exponentiation Operators: A Strategy for Quantum Factoring
Robert L. Singleton
Modular exponentiation (ME) operators are one of the fundamental components of Shor's algorithm, and the place where most of the quantum resources are deployed. I propose a method…
Shor's Factoring Algorithm and Modular Exponentiation Operators
Robert L Singleton
These are pedagogical notes on Shor's factoring algorithm, which is a quantum algorithm for factoring very large numbers (of order of hundreds to thousands of bits) in polynomial t…
Grover's Algorithm with Diffusion and Amplitude Steering
Robert L Singleton, Michael L Rogers, David L Ostby
We review the basic theoretical underpinnings of the Grover algorithm, providing a rigorous and well motivated derivation. We then present a generalization of Grover's algorithm th…
BPS Explained III: The Leading Order Behavior of the BBGKY Hierarchy in a Plasma
Robert L Singleton
This is the third in a series of lectures on the technique of dimensional continuation, employed by Brown, Preston and Singleton (BPS), for calculating Coulomb energy exchange rate…
Multimaterial Heat Flow Verification
Robert L Singleton, Christopher M Malone, Cora L Brown
Multimaterial heat diffusion can be a challenging numerical problem when the material boundaries are misaligned with the numerical grid. Even when the boundaries start out aligned,…
Floating-Point Calculations on a Quantum Annealer: Division and Matrix Inversion
Michael L Rogers, Robert L Singleton
Systems of linear equations are employed almost universally across a wide range of disciplines, from physics and engineering to biology, chemistry and statistics. Traditional solut…