License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.TQC.2013.235
URN: urn:nbn:de:0030-drops-43233
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2013/4323/
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Duclos-Cianci, Guillaume ; Svore, Krysta M.

Distillation of Non-Stabilizer States for Universal Quantum Computation

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Abstract

Magic state distillation is a fundamental technique for realizing fault-tolerant universal quantum computing, and produces high-fidelity Clifford eigenstates, called magic states, which can be used to implement the non-Clifford pi/8 gate. We propose an efficient protocol for distilling other non-stabilizer states that requires only Clifford operations, measurement, and magic states. One critical application of our protocol is efficiently and fault tolerantly implementing arbitrary, non-Clifford, single-qubit rotations in average constant online circuit depth and polylogarithmic (in precision) offline resource cost, resulting in significant improvements over state-of-the-art decomposition techniques. Finally, we show that our protocol is robust to noise in the resource states.

BibTeX - Entry

@InProceedings{ducloscianci_et_al:LIPIcs:2013:4323,
  author =	{Guillaume Duclos-Cianci and Krysta M. Svore},
  title =	{{Distillation of Non-Stabilizer States for Universal Quantum Computation}},
  booktitle =	{8th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2013)},
  pages =	{235--243},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-55-2},
  ISSN =	{1868-8969},
  year =	{2013},
  volume =	{22},
  editor =	{Simone Severini and Fernando Brandao},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2013/4323},
  URN =		{urn:nbn:de:0030-drops-43233},
  doi =		{10.4230/LIPIcs.TQC.2013.235},
  annote =	{Keywords: quantum computing, resource estimation, magic state distillation}
}

Keywords: quantum computing, resource estimation, magic state distillation
Collection: 8th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2013)
Issue Date: 2013
Date of publication: 13.11.2013

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