Impossibility of adversarial self-testing and secure sampling

Fuente: arXiv
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Main Authors: Bansal, Akshay, Arora, Atul Singh, Van Himbeeck, Thomas, Sikora, Jamie
Format: Preprint
Published: 2023
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author Bansal, Akshay
Arora, Atul Singh
Van Himbeeck, Thomas
Sikora, Jamie
author_facet Bansal, Akshay
Arora, Atul Singh
Van Himbeeck, Thomas
Sikora, Jamie
contents Self-testing is the task where spatially separated Alice and Bob cooperate to deduce the inner workings of untrusted quantum devices by interacting with them in a classical manner. We examine the task above where Alice and Bob do not trust each other which we call adversarial self-testing. We show that adversarial self-testing implies secure sampling -- a simpler task that we introduce where distrustful Alice and Bob wish to sample from a joint probability distribution with the guarantee that an honest party's marginal is not biased. By extending impossibility results in two-party quantum cryptography, we give a simple proof that both of these tasks are impossible in all but trivial settings.
format Preprint
id arxiv_https___arxiv_org_abs_2310_12838
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Impossibility of adversarial self-testing and secure sampling
Bansal, Akshay
Arora, Atul Singh
Van Himbeeck, Thomas
Sikora, Jamie
Quantum Physics
Self-testing is the task where spatially separated Alice and Bob cooperate to deduce the inner workings of untrusted quantum devices by interacting with them in a classical manner. We examine the task above where Alice and Bob do not trust each other which we call adversarial self-testing. We show that adversarial self-testing implies secure sampling -- a simpler task that we introduce where distrustful Alice and Bob wish to sample from a joint probability distribution with the guarantee that an honest party's marginal is not biased. By extending impossibility results in two-party quantum cryptography, we give a simple proof that both of these tasks are impossible in all but trivial settings.
title Impossibility of adversarial self-testing and secure sampling
topic Quantum Physics
url https://arxiv.org/abs/2310.12838