الملخص
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We introduce contraction tree boundary matrix product states (CT-bMPS), a scalable approximate contraction method for general closed tensor networks. CT-bMPS represents the boundary tensor and its complementary environment at each edge of a contraction tree as matrix product states. This representation allows local compression based on a reduced transition matrix to incorporate environment information along arbitrary contraction trees, while keeping the time and memory costs polynomial in the network size and bond dimension. We benchmark the method on a variety of models and applications, including Ising partition functions, random tensor networks, kicked Ising dynamics, and quantum error correction decoding. These benchmarks demonstrate improved accuracy and computational efficiency over existing general-purpose approximate contraction methods, together with the ability to handle larger and more complex networks. Optimized contraction trees and environment updates substantially improve accuracy without increasing the bond dimension. These results establish CT-bMPS as a general and scalable approximation framework with flexible contraction orders and environment-based compression for a wide range of applications.
الكلمات المفتاحية
الموضوع
بيانات النشر
- المجلة
- غير متاح
- وصول مفتوح
- وصول مفتوح أخضر
اقتبس هذه المقالة
APA 7
Manabe, H., & Pan, F. (2026). CT-bMPS: تقليص شبكة موتّرات تقريبي بـ MPS حدودي على أشجار التقليص. https://omanscience.com/ar/articles/ct-bmps-approximate-tensor-network-contraction-with-boundary-mps-on-contraction-trees
MLA 9
Manabe, Hidetaka, and Feng Pan. "CT-bMPS: تقليص شبكة موتّرات تقريبي بـ MPS حدودي على أشجار التقليص." https://omanscience.com/ar/articles/ct-bmps-approximate-tensor-network-contraction-with-boundary-mps-on-contraction-trees.
شيكاغو (المؤلف–التاريخ)
Manabe, Hidetaka, and Feng Pan. 2026. "CT-bMPS: تقليص شبكة موتّرات تقريبي بـ MPS حدودي على أشجار التقليص." https://omanscience.com/ar/articles/ct-bmps-approximate-tensor-network-contraction-with-boundary-mps-on-contraction-trees.
هارفارد
Manabe, H. and Pan, F. (2026) 'CT-bMPS: تقليص شبكة موتّرات تقريبي بـ MPS حدودي على أشجار التقليص', Available at: https://omanscience.com/ar/articles/ct-bmps-approximate-tensor-network-contraction-with-boundary-mps-on-contraction-trees.
فانكوفر
Manabe H, Pan F. CT-bMPS: تقليص شبكة موتّرات تقريبي بـ MPS حدودي على أشجار التقليص. https://omanscience.com/ar/articles/ct-bmps-approximate-tensor-network-contraction-with-boundary-mps-on-contraction-trees
IEEE
H. Manabe, and F. Pan, "CT-bMPS: تقليص شبكة موتّرات تقريبي بـ MPS حدودي على أشجار التقليص," https://omanscience.com/ar/articles/ct-bmps-approximate-tensor-network-contraction-with-boundary-mps-on-contraction-trees.