The quantum linear system problem provides one of the most enticing sources of exponential quantum speedups, and its resolution underlies other interesting quantum algorithms for differential equations and eigenvalue processing. The goal is to …
Many problems in linear algebra require processing eigenvalues of the input matrices. As eigenvalues are different from singular values for non-normal operators, these problems are out of reach of the existing quantum singular value algorithm and its …
We prove an entanglement area law for a class of 1D quantum systems involving infinite-dimensional local Hilbert spaces. This class of quantum systems include bosonic models such as the Hubbard-Holstein model, and both U(1) and SU(2) lattice gauge …