SeQuant Framework for Symbolic and Numerical Tensor Algebra. I. Core Capabilities
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arXiv
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| Autori principali: | , , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914481197547520 |
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| author | Gaudel, Bimal Adam, Robert G. Melekamburath, Ajay Masteran, Conner Teke, Nakul Besharatnik, Azam Köhn, Andreas Valeev, Edward F. |
| author_facet | Gaudel, Bimal Adam, Robert G. Melekamburath, Ajay Masteran, Conner Teke, Nakul Besharatnik, Azam Köhn, Andreas Valeev, Edward F. |
| contents | SeQuant is an open-source library for symbolic algebra of tensors over commutative (scalar) and non-commutative (operator) rings. The key innovation supporting most of its functionality is a graph-theoretic tensor network (TN) canonicalizer that can handle tensor networks with symmetries faster than their standard group-theoretic counterparts. The TN canonicalizer is used for routine simplification of conventional tensor expressions, for optimizing application of Wick's theorem (used to canonicalize products of tensors over operator fields), and for manipulation of the intermediate representation leading to the numerical evaluation. Notable features of SeQuant include support for noncovariant tensor networks (which often arise from tensor decompositions) and for tensors with modes that depend parametrically on indices of other tensor modes (such dependencies between degrees of freedom are naturally viewed as nesting of tensors, "tensors of tensors" arising in block-wise data compressions in data science and modern quantum simulation). SeQuant blurs the line between pure symbolic manipulation/code generation and numerical evaluation by including compiler-like components to optimize and directly interpret tensor expressions using external numerical tensor algebra frameworks. The SeQuant source code is available at https://github.com/ValeevGroup/SeQuant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_09943 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | SeQuant Framework for Symbolic and Numerical Tensor Algebra. I. Core Capabilities Gaudel, Bimal Adam, Robert G. Melekamburath, Ajay Masteran, Conner Teke, Nakul Besharatnik, Azam Köhn, Andreas Valeev, Edward F. Mathematical Software Symbolic Computation Chemical Physics Computational Physics Quantum Physics SeQuant is an open-source library for symbolic algebra of tensors over commutative (scalar) and non-commutative (operator) rings. The key innovation supporting most of its functionality is a graph-theoretic tensor network (TN) canonicalizer that can handle tensor networks with symmetries faster than their standard group-theoretic counterparts. The TN canonicalizer is used for routine simplification of conventional tensor expressions, for optimizing application of Wick's theorem (used to canonicalize products of tensors over operator fields), and for manipulation of the intermediate representation leading to the numerical evaluation. Notable features of SeQuant include support for noncovariant tensor networks (which often arise from tensor decompositions) and for tensors with modes that depend parametrically on indices of other tensor modes (such dependencies between degrees of freedom are naturally viewed as nesting of tensors, "tensors of tensors" arising in block-wise data compressions in data science and modern quantum simulation). SeQuant blurs the line between pure symbolic manipulation/code generation and numerical evaluation by including compiler-like components to optimize and directly interpret tensor expressions using external numerical tensor algebra frameworks. The SeQuant source code is available at https://github.com/ValeevGroup/SeQuant. |
| title | SeQuant Framework for Symbolic and Numerical Tensor Algebra. I. Core Capabilities |
| topic | Mathematical Software Symbolic Computation Chemical Physics Computational Physics Quantum Physics |
| url | https://arxiv.org/abs/2511.09943 |