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Aug 7, 2019Abstract:Kitaev's quantum double models in 2D provide some of the most commonly studied examples of topological quantum order.
Sep 24, 2020The ground space is thought to yield a quantum error-correcting code. We offer an explicit proof that this is the case for arbitrary finite groups.
Kitaev's quantum double models in 2D provide some of the most commonly studied examples of topological quantum order. In particular, the ground space is�...
Abstract: Quantum error correction (either at the hardware level or software level) is necessary for practical quantum computation. The Levin-Wen string-net�...
Kitaev's quantum double models in 2D provide some of the most commonly studied examples of topological quantum order, and it is offered an explicit proof�...
Sep 17, 2020Kitaev's quantum double model is a family of exactly solvable lattice models that realize two dimensional topological phases of matter. The�...
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Kitaev surface code — A quantum-double model with G = Z 2 is the surface code. Non-stabilizer surface-code states can be prepared by augmenting the surface code�...
In particular, the ground space is thought to yield a quantum error-correcting code. We offer an explicit proof that this is the case for arbitrary finite�...
The birth of topological quantum computation took place when Alexei Kitaev (2003) made the ingenious step of turning a quantum error correcting code into a�...