TY  - JOUR
VL  - 376
IS  - 2123
N1  - Published by the Royal Society under the terms of the
Creative Commons Attribution License http://creativecommons.org/licenses/
by/4.0/, which permits unrestricted use, provided the original author and
source are credited.
UR  - https://doi.org/10.1098/rsta.2017.0323
SN  - 1471-2962
JF  - Philosophical Transactions of The Royal Society A - Mathematical, Physical and Engineering Sciences
A1  - Conrad, J
A1  - Chamberland, C
A1  - Breuckmann, NP
A1  - Terhal, BM
TI  - The small stellated dodecahedron code and friends
Y1  - 2018/07/13/
AV  - public
EP  - 19
N2  - 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 respectively vertices of a small stellated dodecahedron, making this code suitable for three-dimensional connectivity. This code encodes eight logical qubits into 30 physical qubits (plus 22 ancilla qubits for parity check measurements) in contrast with one logical qubit into nine physical qubits (plus eight 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.

This article is part of a discussion meeting issue ?Foundations of quantum mechanics and their impact on contemporary society?.
ID  - discovery10055490
PB  - ROYAL SOC
KW  - Science & Technology
KW  -  Multidisciplinary Sciences
KW  -  Science & Technology - Other Topics
KW  -  quantum error correction
KW  -  fault tolerance
KW  -  homological quantum codes
KW  -  ERROR-CORRECTION
KW  -  QUANTUM
ER  -