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20182026
most citedEmpirical performance bounds for quantum approximate optimization

60 citations · 178 across the 36 of their papers we have counts for

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Showing 2021Show all

6 papers · 1 filter

quant-ph2021

Multi-angle Quantum Approximate Optimization Algorithm

Rebekah Herrman, Phillip C. Lotshaw, James Ostrowski +2

The quantum approximate optimization algorithm (QAOA) generates an approximate solution to combinatorial optimization problems using a variational ansatz circuit defined by paramet…

math.CO2021

On the length of L-Grundy sequences

Rebekah Herrman, Stephen G. Z. Smith

An L- sequence of a graph is a sequence of distinct vertices such that . The length of the lo…

quant-ph2021

Globally optimizing QAOA circuit depth for constrained optimization problems

Rebekah Herrman, Lorna Treffert, James Ostrowski +3

We develop a global variable substitution method that reduces -variable monomials in combinatorial optimization problems to equivalent instances with monomials in fewer variable…

quant-ph2021★ 9 cited

Simplifying Continuous-Time Quantum Walks on Dynamic Graphs

Rebekah Herrman, Thomas G. Wong

A continuous-time quantum walk on a dynamic graph evolves by Schrödinger's equation with a sequence of Hamiltonians encoding the edges of the graph. This process is universal for q…

quant-ph2021★ 60 cited

Empirical performance bounds for quantum approximate optimization

Phillip C. Lotshaw, Travis S. Humble, Rebekah Herrman +2

The quantum approximate optimization algorithm (QAOA) is a variational method for noisy, intermediate-scale quantum computers to solve combinatorial optimization problems. Quantify…

quant-ph2021

Impact of Graph Structures for QAOA on MaxCut

Rebekah Herrman, Lorna Treffert, James Ostrowski +3

The quantum approximate optimization algorithm (QAOA) is a promising method of solving combinatorial optimization problems using quantum computing. QAOA on the MaxCut problem has b…