Zi-Wen Liu

Hamiltonian singular value transformation and inverse block encoding

2021 · arXiv (Cornell University)

The quantum singular value transformation is a powerful quantum algorithm that allows one to apply a polynomial transformation to the singular values of a matrix that is embedded as a block of a unitary transformation. …

Doubly infinite separation of quantum information and communication

2016 · Physical Review A

We prove the existence of (one-way) communication tasks with a subconstant versus superconstant asymptotic gap, which we call ``doubly infinite,'' between their quantum information and communication complexities. We do so by studying the exclusion game …