Quantum Tensor Product Structures are Observable Induced

Quantum tensor product structures are observable induced.

It is argued that the partition of a quantum system into subsystems is dictated by the set of operationally accessible interactions and measurements. The emergence of a multipartite tensor product structure of the state space and the associated notion of quantum entanglement are then relative and observable induced. We develop a general algebraic framework aimed to formalize this concept.

Quantum Tensor Product Codes

Jihao Fan, ∗ Yonghui Li, † Min-Hsiu Hsieh, ‡ and Hanwu Chen 4, § School of Computer Science and Engineering, Southeast University, Nanjing, Jiangsu 211189, China School of Electrical and Information Engineering, University of Sydney, Sydney, NSW 2006, Australia Centre for Quantum Computation and Intelligent Systems, Faculty of Engineering and Information Technology, University of Technology Syd...

On quantum tensor product codes

Product operation and joint interval valued observable

The aim of this paper is to define the productoperation on a family of interval valued events and the notion ofjoint interval valued observable. We show the connection betweenproduct operations for interval valued events and intuitionisticfuzzy events, too. We display the relation between joint intervalvalued observable and joint intuitionistic fuzzy observable. We...

Kronecker product/Direct product/Tensor product in Quantum Theory

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 ...