253 citations · 8.7k across the 368 of their papers we have counts for
57 papers · 1 filter
Resource and entanglement study of a hybrid qudit-qubit quantum algorithm for solving the integer programming problem
Kapil Goswami, Rick Mukherjee, Peter Schmelcher
Recently, a hybrid qudit-qubit algorithm [1] was presented for solving the integer programming problem with a polynomial quantum advantage. In this work, we investigate the algorit…
Degenerate subspace localization and local symmetries
Peter Schmelcher
Domain specific localization of eigenstates has been a persistent observation for systems with local symmetries. The underlying mechanism for this localization behaviour has howeve…
Solving optimization problems with local light shift encoding on Rydberg quantum annealers
Kapil Goswami, Rick Mukherjee, Herwig Ott +1
We provide a non-unit disk framework to solve combinatorial optimization problems such as Maximum Cut (Max-Cut) and Maximum Independent Set (MIS) on a Rydberg quantum annealer. Our…
Scaled Tight-Binding Crystal
Peter Schmelcher
The concept of local symmetry dynamics has recently been used to demonstrate the evolution of discrete symmetries in one-dimensional chains leading to emergent periodicity. Here we…
Evolution of Discrete Symmetries
P. Schmelcher
Symmetries are known to dictate important physical properties and can be used as a design principle in particular in wave physics, including wave structures and the resulting propa…
Exploring Disordered Quantum Spin Models with a Multi-Layer Multi-Configurational Approach
Fabian Köhler, Rick Mukherjee, Peter Schmelcher
Numerical simulations of quantum spin models are crucial for a profound understanding of many-body phenomena in a variety of research areas in physics. An outstanding problem is th…