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PIRSA:13010101

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https://pirsa.org/13010101

Exotic topological order from quantum fractal code

Yoshida, B. (2013). Exotic topological order from quantum fractal code. Perimeter Institute for Theoretical Physics. https://pirsa.org/13010101

Beni Yoshida Perimeter Institute for Theoretical Physics

Talk numberPIRSA:13010101
DOI10.48660/13010101
Source RepositoryPIRSA
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Talk Type Scientific Series
Subject

Abstract

We present a family of three-dimensional local quantum codes with pairs of fractal logical operators. It has two polynomials over finite fields as input parameters which generate fractal shapes of anti-commuting logical operators, and possesses exotic topological order with quantum glassiness which is beyond descriptions of conventional topological field theory. A necessary and sufficient condition for being free from string-like logical operators is obtained under which the model works as marginally self-correcting quantum memory. We also provide theoretical tools to analyze physical and coding properties of translation symmetric stabilizer Hamiltonians.