摘要: Realizing quantum speedup for practically relevant, computationally hard problems is a central challenge in quantum information science. I will present experimental investigations of quantum algorithms for solving the Maximum Independent Set problem using Rydberg atom arrays with up to 289 qubits in two spatial dimensions. I will outline how we use a hardware-efficient encoding associat...
AbstractI will explain the solution to the following problem. Given a finite dimensional irreducible representation of a simple Lie algebra, consider its N-th tensor power. It has a decomposition into the direct sum of irreducible modules. The problem is how to find the asymptotic of multiplicities of irreducible subrepresentations in the limit N \to \infty and how to find the asymptotic of the...