Oracle Separations Between Quantum and Non-interactive Zero-Knowledge\n Classes Article Swipe
Benjamin Morrison
,
Adam Groce
·
YOU?
·
· 2019
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.1907.03205
YOU?
·
· 2019
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.1907.03205
We study the relationship between problems solvable by quantum algorithms in\npolynomial time and those for which zero-knowledge proofs exist. In prior work,\nAaronson [arxiv:quant-ph/0111102] showed an oracle separation between BQP and\nSZK, i.e. an oracle $A$ such that $\\mathrm{SZK}^A \\not\\subseteq\n\\mathrm{BQP}^A$. In this paper we give a simple extension of Aaronson's result\nto non-interactive zero-knowledge proofs with perfect security. This class,\nNIPZK, is the most restrictive zero-knowledge class. We show that even for this\nclass we can construct an $A$ with $\\mathrm{NIPZK}^A \\not\\subseteq\n\\mathrm{BQP}^A$.\n
Related Topics
Concepts
Zero-knowledge proof
Oracle
Class (philosophy)
Mathematical proof
Zero (linguistics)
Discrete mathematics
Mathematics
Simple (philosophy)
Construct (python library)
Complexity class
Quantum complexity theory
Combinatorics
Time complexity
Polynomial
Computer science
Quantum
Quantum computer
Physics
Quantum mechanics
Artificial intelligence
Geometry
Programming language
Software engineering
Epistemology
Mathematical analysis
Philosophy
Linguistics
Metadata
- Type
- preprint
- Landing Page
- http://arxiv.org/abs/1907.03205
- https://arxiv.org/pdf/1907.03205
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4285827861
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4285827861Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.1907.03205Digital Object Identifier
- Title
-
Oracle Separations Between Quantum and Non-interactive Zero-Knowledge\n ClassesWork title
- Type
-
preprintOpenAlex work type
- Publication year
-
2019Year of publication
- Publication date
-
2019-07-06Full publication date if available
- Authors
-
Benjamin Morrison, Adam GroceList of authors in order
- Landing page
-
https://arxiv.org/abs/1907.03205Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/1907.03205Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
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https://arxiv.org/pdf/1907.03205Direct OA link when available
- Concepts
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Zero-knowledge proof, Oracle, Class (philosophy), Mathematical proof, Zero (linguistics), Discrete mathematics, Mathematics, Simple (philosophy), Construct (python library), Complexity class, Quantum complexity theory, Combinatorics, Time complexity, Polynomial, Computer science, Quantum, Quantum computer, Physics, Quantum mechanics, Artificial intelligence, Geometry, Programming language, Software engineering, Epistemology, Mathematical analysis, Philosophy, LinguisticsTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
0Total citation count in OpenAlex
- Related works (count)
-
10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.$\\mathrm{SZK}^A | 36 |
| abstract_inverted_index.$\\mathrm{NIPZK}^A | 75 |
| abstract_inverted_index.[arxiv:quant-ph/0111102] | 22 |
| abstract_inverted_index.\\not\\subseteq\n\\mathrm{BQP}^A$. | 37 |
| abstract_inverted_index.\\not\\subseteq\n\\mathrm{BQP}^A$.\n | 76 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 2 |
| citation_normalized_percentile.value | 0.31687898 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |