Details
| Original language | English |
|---|---|
| Pages (from-to) | 032311 |
| Number of pages | 1 |
| Journal | Phys. Rev. A |
| Volume | 79 |
| Issue number | 3 |
| Publication status | Published - 2009 |
Abstract
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Phys. Rev. A, Vol. 79, No. 3, 2009, p. 032311.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Implementation of Clifford gates in the Ising-anyon topological quantum computer
AU - Ahlbrecht, Andre
AU - Georgiev, Lachezar S.
AU - Werner, Reinhard F.
PY - 2009
Y1 - 2009
N2 - We give a general proof for the existence and realizability of Clifford gates in the Ising topological quantum computer. We show that all quantum gates that can be implemented by braiding of Ising anyons are Clifford gates. We find that the braiding gates for two qubits exhaust the entire two-qubit Clifford group. Analyzing the structure of the Clifford group for n qubits we prove that the image of the braid group is a nontrivial subgroup of the Clifford group so that not all Clifford gates could be implemented by braiding in the Ising topological quantum computation scheme. We also point out which Clifford gates cannot in general be realized by braiding.
AB - We give a general proof for the existence and realizability of Clifford gates in the Ising topological quantum computer. We show that all quantum gates that can be implemented by braiding of Ising anyons are Clifford gates. We find that the braiding gates for two qubits exhaust the entire two-qubit Clifford group. Analyzing the structure of the Clifford group for n qubits we prove that the image of the braid group is a nontrivial subgroup of the Clifford group so that not all Clifford gates could be implemented by braiding in the Ising topological quantum computation scheme. We also point out which Clifford gates cannot in general be realized by braiding.
U2 - 10.1103/PhysRevA.79.032311
DO - 10.1103/PhysRevA.79.032311
M3 - Article
VL - 79
SP - 032311
JO - Phys. Rev. A
JF - Phys. Rev. A
SN - 2469-9934
IS - 3
ER -