Details
| Original language | Undefined/Unknown |
|---|---|
| Title of host publication | Lie theory and its applications in physics |
| Editors | V Dobrev |
| Pages | 279-288 |
| Number of pages | 10 |
| Volume | 1243 |
| Publication status | Published - 2010 |
Publication series
| Name | AIP Conference Proceedings |
|---|
Abstract
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Lie theory and its applications in physics. ed. / V Dobrev. Vol. 1243 2010. p. 279-288 (AIP Conference Proceedings).
Research output: Chapter in book/report/conference proceeding › Contribution to book/anthology › Research › peer review
}
TY - CHAP
T1 - Monodromy analysis of the computational power of the Ising topological quantum computer
AU - Ahlbrecht, Andre
AU - Georgiev, Lachezar S.
AU - Werner, Reinhard F.
PY - 2010
Y1 - 2010
N2 - We show that all quantum gates which could be implemented by braiding of Ising anyons in the Ising topological quantum computer preserve the n-qubit Pauli group. Analyzing the structure of the Pauli group's centralizer, also known as the Clifford group, for $n$ qubits, we prove that the image of the braid group is a non-trivial subgroup of the Clifford group and therefore not all Clifford gates could be implemented by braiding. We show explicitly the Clifford gates which cannot be realized by braiding estimating in this way the ultimate computational power of the Ising topological quantum computer.
AB - We show that all quantum gates which could be implemented by braiding of Ising anyons in the Ising topological quantum computer preserve the n-qubit Pauli group. Analyzing the structure of the Pauli group's centralizer, also known as the Clifford group, for $n$ qubits, we prove that the image of the braid group is a non-trivial subgroup of the Clifford group and therefore not all Clifford gates could be implemented by braiding. We show explicitly the Clifford gates which cannot be realized by braiding estimating in this way the ultimate computational power of the Ising topological quantum computer.
U2 - 10.1063/1.3460174
DO - 10.1063/1.3460174
M3 - Beitrag in Buch/Sammelwerk
VL - 1243
T3 - AIP Conference Proceedings
SP - 279
EP - 288
BT - Lie theory and its applications in physics
A2 - Dobrev, V
ER -