Contracting projected entangled pair states is average-case hard

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We present a quantum algorithm to prepare injective projected entangled pair states (PEPS) on a quantum computer, a class of open tensor networks representing quantum states. The run time of our algorithm scales polynomially with the inverse of the minimum condition number of the PEPS projectors and, essentially, with the inverse of the spectral gap of the PEPS's parent Hamiltonian.

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ژورنال

عنوان ژورنال: Physical Review Research

سال: 2020

ISSN: 2643-1564

DOI: 10.1103/physrevresearch.2.013010