4 papers
Few Single-Qubit Measurements Suffice to Certify Any Quantum State
Meghal Gupta, William He, Ryan O'Donnell
A fundamental task in quantum information science is state certification: testing whether a lab-prepared -qubit state is close to a given hypothesis state. In this work, we show…
Sampling and Identity-Testing Without Approximate Tensorization of Entropy
William Gay, William He, Nicholas Kocurek +1
Certain tasks in high-dimensional statistics become easier when the underlying distribution satisfies a local-to-global property called approximate tensorization of entropy (ATE).…
Pseudorandom Permutations from Random Reversible Circuits
William He, Ryan O'Donnell
We study pseudorandomness properties of permutations on computed by random circuits made from reversible -bit gates (permutations on ). Our main result is…
Pseudorandomness Properties of Random Reversible Circuits
William Gay, William He, Nicholas Kocurek +1
Motivated by practical concerns in cryptography, we study pseudorandomness properties of permutations on computed by random circuits made from reversible -bit gates…