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arXiv:0904.4165quant-ph

Realization of Topological Quantum Computation with surface codes

Su-Peng Kou

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Abstract

In this paper, the degenerate ground states of Z2 topological order on a plane with holes (the so-called surface codes) are used as the protected code subspace to build a topological quantum computer by tuning their quantum tunneling effect. Using a designer Hamiltonian - the Kitaev toric-code model as an example, we study quantum tunneling effects of the surface codes and obtain its effective theory. Finally, we show how to do topological quantum computation including the initialization, the unitary transformation and the measurement.

arXiv comments
Journal reference
DOI
doi:10.1103/PhysRevA.80.052317
Subjects
quant-phQuantum Physics

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    • After reading the press release it seems to me its a Topological Quantum Computer[0]. They mention surface codes which are related to toric codes and toric codes are a part of topological quantum computation [1]. A explanation of toric codes can be found at [3] Their website…

      zitterbewegungView on HNParent context

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