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Title: Globally Optimizing QAOA Circuit Depth for Constrained Optimization Problems
We develop a global variable substitution method that reduces n-variable monomials in combinatorial optimization problems to equivalent instances with monomials in fewer variables. We apply this technique to 3-SAT and analyze the optimal quantum unitary circuit depth needed to solve the reduced problem using the quantum approximate optimization algorithm. For benchmark 3-SAT problems, we find that the upper bound of the unitary circuit depth is smaller when the problem is formulated as a product and uses the substitution method to decompose gates than when the problem is written in the linear formulation, which requires no decomposition.  more » « less
Award ID(s):
1937008
PAR ID:
10316458
Author(s) / Creator(s):
; ; ; ; ;
Date Published:
Journal Name:
Algorithms
Volume:
14
Issue:
10
ISSN:
1999-4893
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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