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Paper 1

Tensor-network codes

Terry Farrelly, Robert J. Harris, Nathan A. McMahon, Thomas M. Stace

Year

2020

Journal

arXiv preprint

DOI

arXiv:2009.10329

arXiv

2009.10329

Inspired by holographic codes and tensor-network decoders, we introduce tensor-network stabilizer codes which come with a natural tensor-network decoder. These codes can correspond to any geometry, but, as a special case, we generalize holographic codes beyond those constructed from perfect or block-perfect isometries, and we give an example that corresponds to neither. Using the tensor-network decoder, we find a threshold of 18.8% for this code under depolarizing noise. We also show that for holographic codes the exact tensor-network decoder (with no bond-dimension truncation) is efficient with a complexity that is polynomial in the number of physical qubits, even for locally correlated noise.

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Paper 2

Building a spin quantum bit register using semiconductor nanowires.

Baugh J, Fung JS, Mracek J, LaPierre RR.

Year

2010

Journal

Nanotechnology

DOI

10.1088/0957-4484/21/13/134018

arXiv

-

No abstract.

Open paper