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arxiv: 0802.0279 · v2 · submitted 2008-02-03 · 🪐 quant-ph · cond-mat.mes-hall· hep-th

Measurement-Only Topological Quantum Computation

classification 🪐 quant-ph cond-mat.mes-hallhep-th
keywords computationalquantumtopologicalgatesanaloganyonicanyonsaround
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We remove the need to physically transport computational anyons around each other from the implementation of computational gates in topological quantum computing. By using an anyonic analog of quantum state teleportation, we show how the braiding transformations used to generate computational gates may be produced through a series of topological charge measurements.

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    New combinatorial proofs and circuit designs for quantum error correction reduce physical qubit overhead by up to 10x and time overhead by 2-6x for codes including Steane, Golay, and surface codes.