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.ICALP.2018.11
URN: urn:nbn:de:0030-drops-90157
URL: https://drops.dagstuhl.de/opus/volltexte/2018/9015/
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Arnon-Friedman, Rotem ; Yuen, Henry

Noise-Tolerant Testing of High Entanglement of Formation

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LIPIcs-ICALP-2018-11.pdf (0.5 MB)


Abstract

In this work we construct tests that allow a classical user to certify high dimensional entanglement in uncharacterized and possibly noisy quantum devices. We present a family of non-local games {G_n} that for all n certify states with entanglement of formation Omega(n). These tests can be derived from any bipartite non-local game with a classical-quantum gap. Furthermore, our tests are noise-tolerant in the sense that fault tolerant technologies are not needed to play the games; entanglement distributed over noisy channels can pass with high probability, making our tests relevant for realistic experimental settings. This is in contrast to, e.g., results on self-testing of high dimensional entanglement, which are only relevant when the noise rate goes to zero with the system's size n. As a corollary of our result, we supply a lower-bound on the entanglement cost of any state achieving a quantum advantage in a bipartite non-local game. Our proof techniques heavily rely on ideas from the work on classical and quantum parallel repetition theorems.

BibTeX - Entry

@InProceedings{arnonfriedman_et_al:LIPIcs:2018:9015,
  author =	{Rotem Arnon-Friedman and Henry Yuen},
  title =	{{Noise-Tolerant Testing of High Entanglement of Formation}},
  booktitle =	{45th International Colloquium on Automata, Languages, and  Programming (ICALP 2018)},
  pages =	{11:1--11:12},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-076-7},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{107},
  editor =	{Ioannis Chatzigiannakis and Christos Kaklamanis and D{\'a}niel Marx and Donald Sannella},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2018/9015},
  URN =		{urn:nbn:de:0030-drops-90157},
  doi =		{10.4230/LIPIcs.ICALP.2018.11},
  annote =	{Keywords: device independence, quantum games, entanglement testing, noise tolerance}
}

Keywords: device independence, quantum games, entanglement testing, noise tolerance
Collection: 45th International Colloquium on Automata, Languages, and Programming (ICALP 2018)
Issue Date: 2018
Date of publication: 04.07.2018


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