RT Journal Article
T1 Projected entangled pair states: fundamental analytical and numerical limitations
A1 Scarpa, G.
A1 Molnár, Andras
A1 Gé, Y.
A1 García Ripoll, J. J.
A1 Schuch, N.
A1 Pérez García, David
A1 Iblisdir, Sofyan
AB Matrix product states 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 matrix product states 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 manybody systems using PEPS.
PB American Physical Society
SN 0031-9007
YR 2020
FD 2020-11-20
LK https://hdl.handle.net/20.500.14352/7733
UL https://hdl.handle.net/20.500.14352/7733
LA eng
NO Scarpa, G., Molnár, A., Gé, Y. et al. «Projected Entangled Pair States: Fundamental Analytical and Numerical Limitations». Physical Review Letters, vol. 125, n.o 21, noviembre de 2020, p. 210504. DOI.org (Crossref), https://doi.org/10.1103/PhysRevLett.125.210504.
NO Unión Europea. Horizonte 2020
NO Ministerio de Economía, Comercio y Empresa (España)
NO Ministerio de Ciencia, Innovación y Universidades (España)
NO Comunidad de Madrid
NO Centro de Excelencia Severo Ochoa
NO Generalitat de Catalunya
NO Fundación Alemana de Investigación Científica
DS Docta Complutense
RD 8 abr 2025