دورية أكاديمية
Projected Entangled Pair States: Fundamental Analytical and Numerical Limitations
| العنوان: | Projected Entangled Pair States: Fundamental Analytical and Numerical Limitations |
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| المؤلفون: | Scarpato, G., Molnár, A., Ge, Y., García-Ripoll, Juan José, Schuch, N., Pérez-García, D., Iblisdir, S. |
| المساهمون: | European Commission, Ministerio de Economía y Competitividad (España), Comunidad de Madrid, Ministerio de Ciencia, Innovación y Universidades (España), Generalitat de Catalunya, German Research Foundation |
| بيانات النشر: | American Physical Society |
| سنة النشر: | 2020 |
| المجموعة: | Digital.CSIC (Consejo Superior de Investigaciones Científicas / Spanish National Research Council) |
| الوصف: | 6 pags., 2 figs. ; 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 many-body systems using PEPS. ; This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grants No. 648913 and No. 636201). S. I., D. P. G., and G. S. acknowledge financial support from MINECO (Grants No. MTM2014-54240-P and No. MTM2017- 88385-P), CAM research consortium QUITEMAD-CM (Grant No. P2018/TCS-4342), and Severo Ochoa Project No. SEV-2015-556. S. I. also acknowledges funding by the Ministerio de Ciencias, Innovacion y Universidades, PGC2018-095862-B-C22 (Spain) and by Quantum CAT (001-P-001644), Generalitat de Catalunya, and María de Maeztu Project No. CEX2019-000918-M (Spain). J. J. G. R. acknowledges financial support from MINECO Project No. FIS2015-70856-P, CAM research consortion QUITEMAD-CM Grant No. P2018/TCS-4342, MINECO research network FIS2016-81891-REDT. A. M., Y. G., and N. S. acknowledge support from the DFG (German Research Foundation) under Germany’s Excellence Strategy (EXC2111-390814868). |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | unknown |
| تدمد: | 1079-7114 |
| العلاقة: | #PLACEHOLDER_PARENT_METADATA_VALUE#; info:eu-repo/grantAgreement/EC/H2020/648913; info:eu-repo/grantAgreement/EC/H2020/636201; info:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2014-54240-P; info:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-88385-P; P2018/TCS-4342/QUITEMAD-CM; info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-095862-B-C22; Publisher's version; http://dx.doi.org/10.1103/PhysRevLett.125.210504Test; Sí; Physical Review Letters 125: 210504 (2020); http://hdl.handle.net/10261/230931Test; http://dx.doi.org/10.13039/501100003329Test; http://dx.doi.org/10.13039/501100001659Test; http://dx.doi.org/10.13039/501100002809Test; http://dx.doi.org/10.13039/501100000780Test; http://dx.doi.org/10.13039/100012818Test |
| DOI: | 10.1103/PhysRevLett.125.210504 |
| DOI: | 10.13039/501100003329 |
| DOI: | 10.13039/501100001659 |
| DOI: | 10.13039/501100002809 |
| DOI: | 10.13039/501100000780 |
| DOI: | 10.13039/100012818 |
| الإتاحة: | https://doi.org/10.1103/PhysRevLett.125.210504Test https://doi.org/10.13039/501100003329Test https://doi.org/10.13039/501100001659Test https://doi.org/10.13039/501100002809Test https://doi.org/10.13039/501100000780Test https://doi.org/10.13039/100012818Test http://hdl.handle.net/10261/230931Test |
| حقوق: | open |
| رقم الانضمام: | edsbas.8AEB3FDF |
| قاعدة البيانات: | BASE |
| تدمد: | 10797114 |
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| DOI: | 10.1103/PhysRevLett.125.210504 |