Bridging Relations between SVD in Tensor Networks and Common Matrix Operations in Quantum Information Theory

التفاصيل البيبلوغرافية
العنوان: Bridging Relations between SVD in Tensor Networks and Common Matrix Operations in Quantum Information Theory
المؤلفون: Campbell, John. TM.
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Quantum Algebra
الوصف: This document explores the connections between singular value decomposition (SVD) and various tensor operations in the context of quantum state calculations and tensor networks. The relationships between SVD and quantities such as trace, trace distance, Frobenius norm, and fidelity are examined, highlighting their similarities and differences. The intuition behind these mathematical connections is explained, providing insights into the underlying principles and applications of SVD and tensor operations in quantum physics and computational mathematics
Comment: 8 pages, 1 figure, 1 table
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2402.02517
رقم الأكسشن: edsarx.2402.02517
قاعدة البيانات: arXiv