Compare Papers
Paper 1
The Small Stellated Dodecahedron Code and Friends
Jonathan Conrad, Christopher Chamberland, Nikolas P. Breuckmann, Barbara M. Terhal
- Year
- 2017
- Journal
- arXiv preprint
- DOI
- arXiv:1712.07666
- arXiv
- 1712.07666
We explore a distance-3 homological CSS quantum code, namely the small stellated dodecahedron code, for dense storage of quantum information and we compare its performance with the distance-3 surface code. The data and ancilla qubits of the small stellated dodecahedron code can be located on the edges resp. vertices of a small stellated dodecahedron, making this code suitable for 3D connectivity. This code encodes 8 logical qubits into 30 physical qubits (plus 22 ancilla qubits for parity check measurements) as compared to 1 logical qubit into 9 physical qubits (plus 8 ancilla qubits) for the surface code. We develop fault-tolerant parity check circuits and a decoder for this code, allowing us to numerically assess the circuit-based pseudo-threshold.
Open paperPaper 2
Fault tolerance with noisy and slow measurements and preparation.
Paz-Silva GA, Brennen GK, Twamley J.
- Year
- 2010
- Journal
- Phys Rev Lett
- DOI
- 10.1103/physrevlett.105.100501
- arXiv
- -
No abstract.
Open paper