157 citations · 187 across the 5 of their papers we have counts for
5 papers
Optimizing Quantum Search with a Binomial Version of Grover's Algorithm
Austin Gilliam, Marco Pistoia, Constantin Gonciulea
Amplitude Amplification -- a key component of Grover's Search algorithm -- uses an iterative approach to systematically increase the probability of one or multiple target states. W…
Canonical Construction of Quantum Oracles
Austin Gilliam, Marco Pistoia, Constantin Gonciulea
Selecting a set of basis states is a common task in quantum computing, in order to increase and/or evaluate their probabilities. This is similar to designing WHERE clauses in class…
Optimizing Quantum Search Using a Generalized Version of Grover's Algorithm
Austin Gilliam, Marco Pistoia, Constantin Gonciulea
Grover's Search algorithm was a breakthrough at the time it was introduced, and its underlying procedure of amplitude amplification has been a building block of many other algorith…
Grover Adaptive Search for Constrained Polynomial Binary Optimization
Austin Gilliam, Stefan Woerner, Constantin Gonciulea
In this paper we discuss Grover Adaptive Search (GAS) for Constrained Polynomial Binary Optimization (CPBO) problems, and in particular, Quadratic Unconstrained Binary Optimization…
Foundational Patterns for Efficient Quantum Computing
Austin Gilliam, Charlene Venci, Sreraman Muralidharan +4
We present a number of quantum computing patterns that build on top of fundamental algorithms, that can be applied to solving concrete, NP-hard problems. In particular, we introduc…