TY - JOUR
T1 - Calderbank-Shor-Steane holographic quantum error-correcting codes
AU - Harris, Robert J.
AU - McMahon, Nathan
AU - Brennen, Gavin K.
AU - Stace, Thomas M.
PY - 2018/11/1
Y1 - 2018/11/1
N2 - We expand the class of holographic quantum error-correcting codes by developing the notion of block perfect tensors, a wider class that includes previously defined perfect tensors. The relaxation of this constraint opens up a range of other holographic codes. We demonstrate this by introducing the self-dual Calderbank-Shor-Steane (CSS) heptagon holographic code, based on the 7-qubit Steane code. Finally, we show promising thresholds for the erasure channel by applying a straightforward, optimal erasure decoder to the heptagon code and benchmark it against existing holographic codes.
AB - We expand the class of holographic quantum error-correcting codes by developing the notion of block perfect tensors, a wider class that includes previously defined perfect tensors. The relaxation of this constraint opens up a range of other holographic codes. We demonstrate this by introducing the self-dual Calderbank-Shor-Steane (CSS) heptagon holographic code, based on the 7-qubit Steane code. Finally, we show promising thresholds for the erasure channel by applying a straightforward, optimal erasure decoder to the heptagon code and benchmark it against existing holographic codes.
UR - http://www.scopus.com/inward/record.url?scp=85056403323&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.98.052301
DO - 10.1103/PhysRevA.98.052301
M3 - Article
SN - 2469-9926
VL - 98
SP - 1
EP - 6
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 5
M1 - 052301
ER -