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Exploring the Phase Diagram of the quantum one-dimensional ANNNI model

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arxiv 2402.11022 v1 pith:ZHGQVEDP submitted 2024-02-16 cond-mat.str-el cond-mat.dis-nncond-mat.stat-mechquant-ph

M. Cea , M. Grossi , S. Monaco , E. Rico , L. Tagliacozzo , S. Vallecorsa This is my paper
classification cond-mat.str-elcond-mat.dis-nncond-mat.stat-mechquant-ph
keywords modelannniphasediagramexploringone-dimensionalquantumaddressing
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In this manuscript, we explore the intersection of QML and TN in the context of the one-dimensional ANNNI model with a transverse field. The study aims to concretely connect QML and TN by combining them in various stages of algorithm construction, focusing on phase diagram reconstruction for the ANNNI model, with supervised and unsupervised techniques. The model's significance lies in its representation of quantum fluctuations and frustrated exchange interactions, making it a paradigm for studying magnetic ordering, frustration, and the presence of a floating phase. It concludes with discussions of the results, including insights from increased system sizes and considerations for future work, such as addressing limitations in QCNN and exploring more realistic implementations of QC.

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Cited by 3 Pith papers

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  1. Phase diagram of a dual-species Rydberg atom ladder

    cond-mat.quant-gas 2026-04 unverdicted novelty 6.0 of 10

    DMRG calculations of a dual-species Rydberg atom ladder reveal Z2, Z3, Z4 ordered phases, floating phases, a smooth Z2 crossover, and a multi-critical point where Ising, chiral, and first-order lines meet.

  2. Quantum Convolutional Neural Networks are Effectively Classically Simulable

    quant-ph 2024-08 unverdicted novelty 6.0 of 10

    QCNNs are classically simulable via Pauli shadows on low-bodyness subspaces of locally-easy datasets, with explicit simulation demonstrated up to 1024 qubits for phases of matter classification.

  3. Extension of the Adiabatic Theorem

    cond-mat.stat-mech 2025-05 unverdicted novelty 4.0 of 10

    Conjectures that for quenches within the same phase the initial ground state has largest overlap with post-quench ground state; confirmed analytically and numerically for TFIM and special case of ANNNI.

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