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Quantum matrices inN dimensions

Authors :
Sang-Tack Nam
Ki-Soo Chung
Chung-In Um
Won-Sang Chung
Source :
International Journal of Theoretical Physics. 33:797-803
Publication Year :
1994
Publisher :
Springer Science and Business Media LLC, 1994.

Abstract

We obtain the commutation relation between rows and columns ofN ×N quantum matrices. We derive the quantum determinant and discuss its property in terms of the q-deformed Levi-Civita symbol. We find the inverse and trace ofN×N quantum matrices. Finally we discuss the q-deformed complexification of the quantum matrices.

Subjects

Subjects :
Pure mathematics
Quantum t-design
Physics and Astronomy (miscellaneous)
Higher-dimensional gamma matrices
General Mathematics
Quantum process
Trace distance
Quantum operation
Quantum phase estimation algorithm
Quantum algorithm
Quantum channel
Mathematics

Details

ISSN :
15729575 and 00207748
Volume :
33
Database :
OpenAIRE
Journal :
International Journal of Theoretical Physics
Accession number :
edsair.doi...........93ee04318b061094641d188f49aff9b4
Full Text :
https://doi.org/10.1007/bf00672818
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