Learning Feedback Mechanisms for Measurement-Based Variational Quantum State Preparation

This work introduces a self-learning protocol that incorporates measurement and feedback into variational quantum circuits for efficient quantum state preparation. By combining projective measurements with conditional feedback, the protocol learns state preparation strategies that extend beyond unit...

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Main Authors: Daniel Alcalde Puente, Matteo Rizzi
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2025-07-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2025-07-11-1792/pdf/
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author Daniel Alcalde Puente
Matteo Rizzi
author_facet Daniel Alcalde Puente
Matteo Rizzi
author_sort Daniel Alcalde Puente
collection DOAJ
description This work introduces a self-learning protocol that incorporates measurement and feedback into variational quantum circuits for efficient quantum state preparation. By combining projective measurements with conditional feedback, the protocol learns state preparation strategies that extend beyond unitary-only methods, leveraging measurement-based shortcuts to reduce circuit depth. Using the spin-1 Affleck-Kennedy-Lieb-Tasaki state as a benchmark, the protocol learns high-fidelity state preparation by overcoming a family of measurement induced local minima through adjustments of parameter update frequencies and ancilla regularization. Despite these efforts, optimization remains challenging due to the highly non-convex landscapes inherent to variational circuits. The approach is extended to larger systems using translationally invariant ansätze and recurrent neural networks for feedback, demonstrating scalability. Additionally, the successful preparation of a specific AKLT state with desired edge modes highlights the potential to discover new state preparation protocols where none currently exist. These results indicate that integrating measurement and feedback into variational quantum algorithms provides a promising framework for quantum state preparation.
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institution Kabale University
issn 2521-327X
language English
publishDate 2025-07-01
publisher Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
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spelling doaj-art-550cfe36fd6a40548d0df5981aff9cae2025-08-20T03:28:59ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2025-07-019179210.22331/q-2025-07-11-179210.22331/q-2025-07-11-1792Learning Feedback Mechanisms for Measurement-Based Variational Quantum State PreparationDaniel Alcalde PuenteMatteo RizziThis work introduces a self-learning protocol that incorporates measurement and feedback into variational quantum circuits for efficient quantum state preparation. By combining projective measurements with conditional feedback, the protocol learns state preparation strategies that extend beyond unitary-only methods, leveraging measurement-based shortcuts to reduce circuit depth. Using the spin-1 Affleck-Kennedy-Lieb-Tasaki state as a benchmark, the protocol learns high-fidelity state preparation by overcoming a family of measurement induced local minima through adjustments of parameter update frequencies and ancilla regularization. Despite these efforts, optimization remains challenging due to the highly non-convex landscapes inherent to variational circuits. The approach is extended to larger systems using translationally invariant ansätze and recurrent neural networks for feedback, demonstrating scalability. Additionally, the successful preparation of a specific AKLT state with desired edge modes highlights the potential to discover new state preparation protocols where none currently exist. These results indicate that integrating measurement and feedback into variational quantum algorithms provides a promising framework for quantum state preparation.https://quantum-journal.org/papers/q-2025-07-11-1792/pdf/
spellingShingle Daniel Alcalde Puente
Matteo Rizzi
Learning Feedback Mechanisms for Measurement-Based Variational Quantum State Preparation
Quantum
title Learning Feedback Mechanisms for Measurement-Based Variational Quantum State Preparation
title_full Learning Feedback Mechanisms for Measurement-Based Variational Quantum State Preparation
title_fullStr Learning Feedback Mechanisms for Measurement-Based Variational Quantum State Preparation
title_full_unstemmed Learning Feedback Mechanisms for Measurement-Based Variational Quantum State Preparation
title_short Learning Feedback Mechanisms for Measurement-Based Variational Quantum State Preparation
title_sort learning feedback mechanisms for measurement based variational quantum state preparation
url https://quantum-journal.org/papers/q-2025-07-11-1792/pdf/
work_keys_str_mv AT danielalcaldepuente learningfeedbackmechanismsformeasurementbasedvariationalquantumstatepreparation
AT matteorizzi learningfeedbackmechanismsformeasurementbasedvariationalquantumstatepreparation