Accelerated VQE: Parameter Recycling for Similar Recurring Problem Instances

Fuente: arXiv
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Main Authors: Rohe, Tobias, Mansky, Maximilian Balthasar, Kölle, Michael, Stein, Jonas, Sünkel, Leo, Linnhoff-Popien, Claudia
Format: Preprint
Published: 2025
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author Rohe, Tobias
Mansky, Maximilian Balthasar
Kölle, Michael
Stein, Jonas
Sünkel, Leo
Linnhoff-Popien, Claudia
author_facet Rohe, Tobias
Mansky, Maximilian Balthasar
Kölle, Michael
Stein, Jonas
Sünkel, Leo
Linnhoff-Popien, Claudia
contents Training the Variational Quantum Eigensolver (VQE) is a task that requires substantial compute. We propose the use of concepts from transfer learning to considerably reduce the training time when solving similar problem instances. We demonstrate that its utilisation leads to accelerated convergence and provides a similar quality of results compared to circuits with parameters initialised around zero. Further, transfer learning works better when the distance between the source-solution is close to that of the target-solution. Based on these findings, we present an accelerated VQE approach tested on the MaxCut problem with a problem size of 12 nodes solved with two different circuits utilised. We compare our results against a random baseline and non transfer learning trained circuits. Our experiments demonstrate that transfer learning can reduce training time by around 93\% in post-training, relative to identical circuits without the use of transfer learning. The accelerated VQE approach beats the standard approach by seven, respectively nine percentage points in terms of solution quality, if the early-stopping is considered. In settings where time-to-solution or computational costs are critical, this approach provides a significant advantage, having an improved trade-off between training effort and solution quality.
format Preprint
id arxiv_https___arxiv_org_abs_2503_22590
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Accelerated VQE: Parameter Recycling for Similar Recurring Problem Instances
Rohe, Tobias
Mansky, Maximilian Balthasar
Kölle, Michael
Stein, Jonas
Sünkel, Leo
Linnhoff-Popien, Claudia
Quantum Physics
Training the Variational Quantum Eigensolver (VQE) is a task that requires substantial compute. We propose the use of concepts from transfer learning to considerably reduce the training time when solving similar problem instances. We demonstrate that its utilisation leads to accelerated convergence and provides a similar quality of results compared to circuits with parameters initialised around zero. Further, transfer learning works better when the distance between the source-solution is close to that of the target-solution. Based on these findings, we present an accelerated VQE approach tested on the MaxCut problem with a problem size of 12 nodes solved with two different circuits utilised. We compare our results against a random baseline and non transfer learning trained circuits. Our experiments demonstrate that transfer learning can reduce training time by around 93\% in post-training, relative to identical circuits without the use of transfer learning. The accelerated VQE approach beats the standard approach by seven, respectively nine percentage points in terms of solution quality, if the early-stopping is considered. In settings where time-to-solution or computational costs are critical, this approach provides a significant advantage, having an improved trade-off between training effort and solution quality.
title Accelerated VQE: Parameter Recycling for Similar Recurring Problem Instances
topic Quantum Physics
url https://arxiv.org/abs/2503.22590