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20122021
most citedQuantum soundness of the classical low individual degree test

12 citations · 51 across the 12 of their papers we have counts for

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7 papers · 1 filter

quant-ph2021★ 3 cited

Unique Games hardness of Quantum Max-Cut, and a conjectured vector-valued Borell's inequality

Yeongwoo Hwang, Joe Neeman, Ojas Parekh +2

The Gaussian noise stability of a function is the expected value of over -correlated Gaussian random v…

quant-ph2020★ 12 cited

Quantum soundness of the classical low individual degree test

Zhengfeng Ji, Anand Natarajan, Thomas Vidick +2

Low degree tests play an important role in classical complexity theory, serving as basic ingredients in foundational results such as [BFL91] and the…

quant-ph2019★ 10 cited

NEEXP in MIP*

Anand Natarajan, John Wright

We study multiprover interactive proof systems. The power of classical multiprover interactive proof systems, in which the provers do not share entanglement, was characterized in a…

quant-ph2017

Quantum state certification

Costin Bădescu, Ryan O'Donnell, John Wright

We consider the problem of quantum state certification, where one is given copies of an unknown -dimensional quantum mixed state , and one wants to test whether is eq…

quant-ph2016★ 3 cited

Efficient quantum tomography II

Ryan O'Donnell, John Wright

Following [OW16], we continue our analysis of: (1) "Quantum tomography", i.e., learning a quantum state, i.e., the quantum generalization of learning a discrete probability distrib…

quant-ph2015★ 11 cited

Efficient quantum tomography

Ryan O'Donnell, John Wright

In the quantum state tomography problem, one wishes to estimate an unknown -dimensional mixed quantum state , given few copies. We show that copies suffice to obtain…