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You must have n qubits or more to win: efficient self-tests for high-dimensional entanglement Natarajan, Anand
Description
How much, and what sort of entanglement is needed to win a non-local game In many ways this is the central question in the study of
non-local games, and as we've seen in the previous talks, a full understanding of this question could resolve such conundrums as Tsirelson's problem, the
complexity of MIP*, and Connes' embedding conjecture. One approach to this question which has proved fruitful is to design *self-tests*: games for which players who wish to play almost optimally must share a quantum state that is close to a specific entangled state. In this talk I'll present a self-test for high-dimensional maximally entangled states that is *efficient* and *robust*: to test n qubits of entanglement requires a game of poly(n) size, and the test gives guarantees even for strategies that are constant far from optimal. These properties are motivated by the complexity-theoretic goal of showing that the entangled value of a nonlocal game is strictly harder to approximate than the classical value. Based on joint work with Thomas Vidick.
Item Metadata
| Title |
You must have n qubits or more to win: efficient self-tests for high-dimensional entanglement
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2019-07-16T10:47
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| Description |
How much, and what sort of entanglement is needed to win a non-local game In many ways this is the central question in the study of
non-local games, and as we've seen in the previous talks, a full understanding of this question could resolve such conundrums as Tsirelson's problem, the
complexity of MIP*, and Connes' embedding conjecture. One approach to this question which has proved fruitful is to design *self-tests*: games for which players who wish to play almost optimally must share a quantum state that is close to a specific entangled state. In this talk I'll present a self-test for high-dimensional maximally entangled states that is *efficient* and *robust*: to test n qubits of entanglement requires a game of poly(n) size, and the test gives guarantees even for strategies that are constant far from optimal. These properties are motivated by the complexity-theoretic goal of showing that the entangled value of a nonlocal game is strictly harder to approximate than the classical value. Based on joint work with Thomas Vidick.
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| Extent |
70.0 minutes
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: Caltech
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| Series | |
| Date Available |
2020-01-13
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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| DOI |
10.14288/1.0388286
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
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| Scholarly Level |
Postdoctoral
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International