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DOI: 10.4230/LIPIcs.TQC.2018.7
URN: urn:nbn:de:0030-drops-92540
URL: http://drops.dagstuhl.de/opus/volltexte/2018/9254/
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van Dam, Wim ; Wong, Raymond

Two-qubit Stabilizer Circuits with Recovery I: Existence

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LIPIcs-TQC-2018-7.pdf (0.5 MB)


Abstract

In this paper, we further investigate the many ways of using stabilizer operations to generate a single qubit output from a two-qubit state. In particular, by restricting the input to certain product states, we discover probabilistic operations capable of transforming stabilizer circuit outputs back into stabilizer circuit inputs. These secondary operations are ideally suited for recovery purposes and require only one extra resource input to proceed. As a result of reusing qubits in this manner, we present an alternative to the original state preparation process that can lower the overall costs of executing a two-qubit stabilizer procedure involving non-stabilizer resources.

BibTeX - Entry

@InProceedings{vandam_et_al:LIPIcs:2018:9254,
  author =	{Wim van Dam and Raymond Wong},
  title =	{{Two-qubit Stabilizer Circuits with Recovery I: Existence}},
  booktitle =	{13th Conference on the Theory of Quantum Computation,  Communication and Cryptography (TQC 2018)},
  pages =	{7:1--7:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-080-4},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{111},
  editor =	{Stacey Jeffery},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2018/9254},
  URN =		{urn:nbn:de:0030-drops-92540},
  doi =		{10.4230/LIPIcs.TQC.2018.7},
  annote =	{Keywords: stabilizer circuit, recovery circuit, magic state}
}

Keywords: stabilizer circuit, recovery circuit, magic state
Seminar: 13th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2018)
Issue Date: 2018
Date of publication: 11.07.2018


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