SYNTOLOGY HomeExplorerAtlasCodeMethodologyAboutDevelopersFeedPricing
Paper · 0905.0531 · 2009

Threshold error rates for the toric and surface codes

arXiv · PDF · Open in the Atlas

Code that ran

We lifted 3 functions out of this paper's own repositories and ran 0 of them in a sandbox. "Ran" means the function executed on a synthesized input and returned a value. It is not a reproduction of the paper's results.

RepositoryRoleRan
mcclow12/Surface-Code-Simulation pwc_unofficial 0 of 3
FunctionStatusWhere it lives
get_data_qubit_pairs Not yet run mcclow12/Surface-Code-Simulation/pyquil_surface_code/utils.py
code served (permissive licence) · get_code("877f4402d6ebac88")
pair_to_single Not yet run mcclow12/Surface-Code-Simulation/pyquil_surface_code/utils.py
code served (permissive licence) · get_code("114a2e715ac22ed2")
triple_to_single Not yet run mcclow12/Surface-Code-Simulation/pyquil_surface_code/utils.py
code served (permissive licence) · get_code("b008bfa7a851f621")

Repositories linked to this paper

Some links come from the archived Papers with Code dataset (CC BY-SA 4.0): attribution and licence.

Abstract

The surface code scheme for quantum computation features a 2d array of nearest-neighbor coupled qubits yet claims a threshold error rate approaching 1% (NJoP 9:199, 2007). This result was obtained for the toric code, from which the surface code is derived, and surpasses all other known codes restricted to 2d nearest-neighbor architectures by several orders of magnitude. We describe in detail an error correction procedure for the toric and surface codes, which is based on polynomial-time graph matching techniques and is efficiently implementable as the classical feed-forward processing step in a real quantum computer. By direct simulation of this error correction scheme, we determine the threshold error rates for the two codes (differing only in their boundary conditions) for both ideal and non-ideal syndrome extraction scenarios. We verify that the toric code has an asymptotic threshold of p = 15.5% under ideal syndrome extraction, and p = 7.8 10^-3 for the non-ideal case, in agreement with prior work. Simulations of the surface code indicate that the threshold is close to that of the toric code.

For agents

The same record, over MCP at https://syntology.ai/mcp:

get_harvested_code_for_paper("0905.0531")
get_code_for_paper("0905.0531")
have("0905.0531")

Connect an agent — have() is free.