We initiate the study of multi-source extractors in the quantum world. In this setting, our goal is to extract random bits from two independent weak random sources, on which two q...
A quantum encryption scheme (also called private quantum channel, or state randomization protocol) is a one-time pad for quantum messages. If two parties share a classical random s...
Our main result is a reduction from worst-case lattice problems such as GAPSVP and SIVP to a certain learning problem. This learning problem is a natural extension of the `learnin...
An extractor is a function that is used to extract randomness. Given an imperfect random source X and a uniform seed Y , the output (X; Y ) is close to uniform. We study properties...
Shannon [Sha48, Sha49] in celebrated works had shown that n bits of shared key is necessary and sufficient to transmit n-bit classical information in an information-theoretically ...
Andris Ambainis, Michele Mosca, Alain Tapp, Ronald...