Linear Transformations between Multipartite Quantum Systems That Map the Set of Tensor Product of Idempotent Matrices into Idempotent Matrix Set
نویسندگان
چکیده
منابع مشابه
An Elementary Proof That Every Singular Matrix Is a Product of Idempotent Matrices
In this note we give an elementary proof of a theorem first proved by J. A. Erdos [3]. This theorem, which is the main result of [3], states that every noninvertible n × n matrix is a finite product of matrices M with the property that M = M . (These are known as idempotent matrices. Noninvertible matrices are also called singular matrices.) An alternative formulation of this result reads: ever...
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ژورنال
عنوان ژورنال: Journal of Function Spaces and Applications
سال: 2013
ISSN: 0972-6802,1758-4965
DOI: 10.1155/2013/182569