TY - JOUR
T1 - Simulating the transverse Ising model on a quantum computer
T2 - Error correction with the surface code
AU - You, Hao
AU - Geller, Michael R.
AU - Stancil, P. C.
PY - 2013/3/29
Y1 - 2013/3/29
N2 - We estimate the resource requirements for the quantum simulation of the ground-state energy of the one-dimensional quantum transverse Ising model based on the surface code implementation of a fault-tolerant quantum computer. The surface code approach has one of the highest known tolerable error rates (∼1%) which makes it currently one of the most practical quantum computing schemes. Compared to results of the same model using the concatenated Steane code, the current results indicate that the simulation time is comparable but the number of physical qubits for the surface code is one to two orders of magnitude larger than that of the concatenation code. Considering that the error threshold requirement of the surface code is four orders of magnitude higher than the concatenation code, building a quantum computer with a surface code implementation appears more promising given current physical hardware capabilities.
AB - We estimate the resource requirements for the quantum simulation of the ground-state energy of the one-dimensional quantum transverse Ising model based on the surface code implementation of a fault-tolerant quantum computer. The surface code approach has one of the highest known tolerable error rates (∼1%) which makes it currently one of the most practical quantum computing schemes. Compared to results of the same model using the concatenated Steane code, the current results indicate that the simulation time is comparable but the number of physical qubits for the surface code is one to two orders of magnitude larger than that of the concatenation code. Considering that the error threshold requirement of the surface code is four orders of magnitude higher than the concatenation code, building a quantum computer with a surface code implementation appears more promising given current physical hardware capabilities.
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U2 - 10.1103/PhysRevA.87.032341
DO - 10.1103/PhysRevA.87.032341
M3 - Article
AN - SCOPUS:84875695768
SN - 1050-2947
VL - 87
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 3
M1 - 032341
ER -