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Matrix Product States, Random Matrix Theory and the Principle of Maximum Entropy

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arxiv 1201.6324 v1 pith:NXD3KJOL submitted 2012-01-30 quant-ph cond-mat.str-elmath-phmath.MP

classification quant-phcond-mat.str-elmath-phmath.MP
keywords matrixentropymaximumproductrandomstatestheorychains
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Using random matrix techniques and the theory of Matrix Product States we show that reduced density matrices of quantum spin chains have generically maximum entropy.

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  1. No-Free-Lunch Theories for Tensor-Network Machine Learning Models

    quant-ph 2024-12 conditional novelty 6.0 of 10

    Tensor-network machine learning models (MPS and PEPS) have average generalization risk lower bounded by explicit functions of training-set size and bond dimension, formalizing no-free-lunch limits for quantum-inspired...

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