TY - JOUR
T1 - Classification of measurement-based quantum wire in stabilizer PEPS
AU - Raussendorf, Robert
AU - Herringer, Paul
N1 - Funding Information:
This research was undertaken thanks, in part, to funding from the Canada First Research Excellence Fund, Quantum Materials and Future Technologies Program. PH is funded by the National Science and Engineering Research Council of Canada (NSERC). RR is supported through NSERC and US ARO (W911NF2010013).
PY - 2023/6/12
Y1 - 2023/6/12
N2 - We consider a class of translation-invariant 2D tensor network states with a stabilizer symmetry, which we call stabilizer PEPS. The cluster state, GHZ state, and states in the toric code belong to this class. We investigate the transmission capacity of stabilizer PEPS for measurement-based quantum wire, and arrive at a complete classification of transmission behaviors. The transmission behaviors fall into 13 classes, one of which corresponds to Clifford quantum cellular automata. In addition, we identify 12 other classes.
AB - We consider a class of translation-invariant 2D tensor network states with a stabilizer symmetry, which we call stabilizer PEPS. The cluster state, GHZ state, and states in the toric code belong to this class. We investigate the transmission capacity of stabilizer PEPS for measurement-based quantum wire, and arrive at a complete classification of transmission behaviors. The transmission behaviors fall into 13 classes, one of which corresponds to Clifford quantum cellular automata. In addition, we identify 12 other classes.
UR - http://www.scopus.com/inward/record.url?scp=85164733995&partnerID=8YFLogxK
U2 - 10.22331/q-2023-06-12-1041
DO - 10.22331/q-2023-06-12-1041
M3 - Article
AN - SCOPUS:85164733995
SN - 2521-327X
VL - 7
JO - Quantum
JF - Quantum
M1 - 1041
ER -