Kronecker product/Direct product/Tensor product in Quantum Information theory

2001/04/03 by Z. S. Sazonova, Ranjit Singh, Sazonova, Z. S. +1
Computer Science · Physics and Astronomy · #Advanced Mathematical Theories and Applications #FOS: Physical sciences #Matrix Theory and Algorithms #Quantum Computing Algorithms and Architecture #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0104019

9 pages

arxiv created 2001/04/03 · openalex publication_date 2001/04/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The properties and applications of kronecker product in quantum theory is studied thoroughly. The use of kronecker product in quantum information theory to get the exact spin Hamiltonian is given. The proof of non-commutativity of matrices, when kronecker product is used between them is given. It is shown that the non-commutative matrices after kronecker product are similar or they are similar matrices.

Related

• Application of the Kronecker product to simple spin systems
• Spin Operators, Pauli Group, Commutators, Anti-Commutators, Kronecker Product and Applications
• Matrix product states, geometry, and invariant theory
• Invariants, Kronecker Products, and Combinatorics of Some Remarkable Diophantine Systems (Extended Version)
• A tensor product of representations of UHF algebras arising from Kronecker products