Optimizing quantum circuit parameters via SDP

• URL: http://arxiv.org/abs/2209.00789v1
• Date: Fri, 2 Sep 2022 02:34:19 GMT
• Title: Optimizing quantum circuit parameters via SDP
• Authors: Eunou Lee
• Abstract summary: We introduce a new framework for parameterized quantum circuits: round SDP to circuit parameters. Within this, we propose an algorithm that produces approximate solutions for a quantum optimization problem called Quantum Max Cut.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In recent years, parameterized quantum circuits have become a major tool to design quantum algorithms for optimization problems. The challenge in fully taking advantage of a given family of parameterized circuits lies in finding a good set of parameters in a non-convex landscape that can grow exponentially to the number of parameters. We introduce a new framework for optimizing parameterized quantum circuits: round SDP solutions to circuit parameters. Within this framework, we propose an algorithm that produces approximate solutions for a quantum optimization problem called Quantum Max Cut. The rounding algorithm runs in polynomial time to the number of parameters regardless of the underlying interaction graph. The resulting 0.562-approximation algorithm for generic instances of Quantum Max Cut improves on the previously known best algorithms, which give approximation ratios of less than 0.54.

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