License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.ITCS.2023.82
URN: urn:nbn:de:0030-drops-175859
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2023/17585/
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Liu, Qipeng

Depth-Bounded Quantum Cryptography with Applications to One-Time Memory and More

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LIPIcs-ITCS-2023-82.pdf (0.7 MB)

Abstract

With the power of quantum information, we can achieve exciting and classically impossible cryptographic primitives. However, almost all quantum cryptography faces extreme difficulties with the near-term intermediate-scale quantum technology (NISQ technology); namely, the short lifespan of quantum states and limited sequential computation. At the same time, considering only limited quantum adversaries may still enable us to achieve never-before-possible tasks.
In this work, we consider quantum cryptographic primitives against limited quantum adversaries - depth-bounded adversaries. We introduce a model for (depth-bounded) NISQ computers, which are classical circuits interleaved with shallow quantum circuits. Then, we show one-time memory can be achieved against any depth-bounded quantum adversaries introduced in the work, with their depth being any pre-fixed polynomial. Therefore we obtain applications like one-time programs and one-time proofs. Finally, we show our one-time memory has correctness even against constant-rate errors.

BibTeX - Entry

@InProceedings{liu:LIPIcs.ITCS.2023.82,
  author =	{Liu, Qipeng},
  title =	{{Depth-Bounded Quantum Cryptography with Applications to One-Time Memory and More}},
  booktitle =	{14th Innovations in Theoretical Computer Science Conference (ITCS 2023)},
  pages =	{82:1--82:18},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-263-1},
  ISSN =	{1868-8969},
  year =	{2023},
  volume =	{251},
  editor =	{Tauman Kalai, Yael},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2023/17585},
  URN =		{urn:nbn:de:0030-drops-175859},
  doi =		{10.4230/LIPIcs.ITCS.2023.82},
  annote =	{Keywords: cryptographic protocol, one-time memory, quantum cryptography}
}

Keywords: cryptographic protocol, one-time memory, quantum cryptography
Collection: 14th Innovations in Theoretical Computer Science Conference (ITCS 2023)
Issue Date: 2023
Date of publication: 01.02.2023

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