176 citations · 590 across the 34 of their papers we have counts for
36 papers
How viable is quantum annealing for solving linear algebra problems?
Ajinkya Borle, Samuel J. Lomonaco
With the increasing popularity of quantum computing and in particular quantum annealing, there has been growing research to evaluate the meta-heuristic for various problems in line…
Quantum Approximate Optimization for Hard Problems in Linear Algebra
Ajinkya Borle, Vincent E. Elfving, Samuel J. Lomonaco
The Quantum Approximate Optimization Algorithm (QAOA) by Farhi et al. is a quantum computational framework for solving quantum or classical optimization tasks. Here, we explore usi…
Quantum knots and knotted zeros
Louis H Kauffman, Samuel J Lomonaco
In this paper we show how to place Michael Berry's discovery of knotted zeros in the quantum states of hydrogen in the context of general knot theory and in the context of our form…
Analyzing the Quantum Annealing Approach for Solving Linear Least Squares Problems
Ajinkya Borle, Samuel J. Lomonaco
With the advent of quantum computers, researchers are exploring if quantum mechanics can be leveraged to solve important problems in ways that may provide advantages not possible w…
Quantum Fourier Sampling is Guaranteed to Fail to Compute Automorphism Groups of Easy Graphs
Omar Shehab, Samuel J. Lomonaco
The quantum hidden subgroup approach is an actively studied approach to solve combinatorial problems in quantum complexity theory. With the success of the Shor's algorithm, it was…
Braiding Majorana Fermions
Louis H. Kauffman, Samuel J. Lomonaco
In this paper we study a Clifford algebra generalization of the quaternions and its relationship with braid group representations related to Majorana fermions. The Fibonacci model…