We present a new method for determining the frequencies and wavefunctions of black hole quasinormal modes (QNMs) and Regge poles. The key idea is a novel ansatz for the wavefunction, which relates the high-l wavefunctions to null geodesics which start at infinity and end in perpetual orbit on the photon sphere. Our ansatz leads naturally to the expansion of QNMs in inverse powers of L = l + 1/2...

We derive, using the algebraic Bethe Ansatz, a generalized Matrix Product Ansatz for the asymmetric exclusion process (ASEP) on a one-dimensional periodic lattice. In this Matrix Product Ansatz, the components of the eigenvectors of the ASEP Markov matrix can be expressed as traces of products of non-commuting operators. We derive the relations between the operators involved and show that they ...

Simulating molecules using the Variational Quantum Eigensolver method is one of promising applications for NISQ-era quantum computers. Designing an efficient ansatz to represent electronic wave function crucial in such simulations. Standard unitary coupled-cluster with singles and doubles (UCCSD) tends have a large number insignificant terms that do not lower energy system. In this work, we pre...