Simulating the transverse Ising model on a quantum computer: Error correction with the surface code

Hao You, Michael R. Geller, P. C. Stancil

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
Article number032341
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume87
Issue number3
DOIs
StatePublished - Mar 29 2013

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quantum computers
Ising model
concatenated codes
requirements
quantum computation
resources
hardware
simulation
ground state
thresholds
estimates

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Simulating the transverse Ising model on a quantum computer : Error correction with the surface code. / You, Hao; Geller, Michael R.; Stancil, P. C.

In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 87, No. 3, 032341, 29.03.2013.

Research output: Contribution to journalArticle

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