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• W3100594856 abstract "Matrix Product States (MPS) and Projected Entangled Pair States (PEPS) are powerful analytical and numerical tools to assess quantum many-body systems in one and higher dimensions, respectively. While MPS are comprehensively understood, in PEPS fundamental questions, relevant analytically as well as numerically, remain open, such as how to encode symmetries in full generality, or how to stabilize numerical methods using canonical forms. Here, we show that these key problems, as well as a number of related questions, are algorithmically undecidable, that is, they cannot be fully resolved in a systematic way. Our work thereby exposes fundamental limitations to a full and unbiased understanding of quantum many-body systems using PEPS." @default.
• W3100594856 created "2020-11-23" @default.
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• W3100594856 date "2020-11-20" @default.
• W3100594856 modified "2023-10-14" @default.
• W3100594856 title "Projected Entangled Pair States: Fundamental Analytical and Numerical Limitations" @default.
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• W3100594856 doi "https://doi.org/10.1103/physrevlett.125.210504" @default.
• W3100594856 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/33275001" @default.
• W3100594856 hasPublicationYear "2020" @default.
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