We investigate the randomized and quantum communication complexity of the HAMMING DISTANCE problem, which is to determine if the Hamming distance between two n-bit strings is no l...
We consider two-party quantum protocols starting with a transmission of some random BB84 qubits followed by classical messages. We show a general “compiler” improving the secur...
Quantum k-SAT is the problem of deciding whether there is a n-qubit state which is perpendicular to a set of vectors, each of which lies in the Hilbert space of k qubits. Equivale...
Sergey Bravyi, Cristopher Moore, Alexander Russell
Coin flipping is a fundamental cryptographic primitive that enables two distrustful and far apart parties to create a uniformly random bit [Blu81]. Quantum information allows for ...
wever, by using a simple model of abstract building blocks: quantum bits, gates, and algorithms, and the available implementation technologies--in all their imperfections.7 The bas...