Toric code

Known as: Surface code, Surface codes, Planar code 
The toric code is a topological quantum error correcting code, and an example of a stabilizer code, defined on a two-dimensional spin lattice It is… (More)
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Papers overview

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2018
2018
We still do not have the perfect decoders for topological codes that can satisfy all needs of different experimental setups… (More)
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2014
2014
We consider the problem of preparing specific encoded resource states for the toric code by local, time-independent interactions… (More)
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2009
2009
We present a solution of Kitaev’s spin model on the honeycomb lattice and of related topologically ordered spin models. We employ… (More)
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2007
2007
From a rational convex polytope of dimension r ≥ 2 J.P. Hansen constructed an error correcting code of length n = (q−1)r over the… (More)
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2007
2007
Toric codes are a class of m-dimensional cyclic codes introduced recently by Hansen (Coding theory, cryptography and related… (More)
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Highly Cited
2005
Highly Cited
2005
We describe a technique which enables one to quickly compute an infinite number of toric geometries and their dual quiver gauge… (More)
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Highly Cited
2004
Highly Cited
2004
In this paper we prove there exists a Kähler-Ricci soliton, unique up to holomorphic automorphisms, on any toric Kähler manifold… (More)
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Highly Cited
1998
Highly Cited
1998
A new type of local-check additive quantum code is presented. Qubits are associated with edges of a 2-dimensional lattice whereas… (More)
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Highly Cited
1997
Highly Cited
1997
We study topological properties of the D-brane resolution of three-dimensional orbifold singularities, C/Γ, for finite abelian… (More)
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Highly Cited
1994
Highly Cited
1994
  • Victor V. Batyrev
  • 1994
We consider families F(∆) consisting of complex (n − 1)-dimensional projective algebraic compactifications of ∆-regular affine… (More)
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