A Notable Relation between N-Qubit and 2^{N-1}-Qubit Pauli Groups via Binary LGr(N,2N)

@article{Holweck2014ANR,
title={A Notable Relation between N-Qubit and 2^\{N-1\}-Qubit Pauli Groups via Binary LGr(N,2N)},
author={Fr'ed'eric Holweck and M. Saniga and P. L{\'e}vay},
journal={Symmetry Integrability and Geometry-methods and Applications},
year={2014},
volume={10},
pages={041}
}
• Published 2014
• Mathematics, Physics
• Symmetry Integrability and Geometry-methods and Applications
• Employing the fact that the geometry of the $N$-qubit ($N \geq 2$) Pauli group is embodied in the structure of the symplectic polar space $\mathcal{W}(2N-1,\,2)$ and using properties of the Lagrangian Grassmannian $LGr(N,\,2N)$ defined over the smallest Galois field, it is demonstrated that there exists a bijection between the set of maximum sets of mutually commuting elements of the $N$-qubit Pauli group and a certain subset of elements of the $2^{N-1}$-qubit Pauli group. In order to reveal… CONTINUE READING

References

Publications referenced by this paper.
SHOWING 1-10 OF 35 REFERENCES