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The tensor rank of tensor product of two three-qubit W states is eight.
- Source :
-
Linear Algebra & its Applications . Apr2018, Vol. 543, p1-16. 16p. - Publication Year :
- 2018
-
Abstract
- We show that the tensor rank of tensor product of two three-qubit W states is not less than eight. Combining this result with the recent result of M. Christandl, A.K. Jensen, and J. Zuiddam that the tensor rank of tensor product of two three-qubit W states is at most eight, we deduce that the tensor rank of tensor product of two three-qubit W states is eight. We also construct the upper bound of the tensor rank of tensor product of many three-qubit W states. [ABSTRACT FROM AUTHOR]
- Subjects :
- *TENSOR products
*QUBITS
*QUANTUM states
*MATHEMATICAL bounds
*KRONECKER products
Subjects
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 543
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 127922135
- Full Text :
- https://doi.org/10.1016/j.laa.2017.12.015