303 citations · 4.6k across the 110 of their papers we have counts for
6 papers · 1 filter
Lieb-Robinson bounds for commutator-bounded operators
Isabeau Prémont-Schwarz, Alioscia Hamma, Israel Klich +1
We generalize the Lieb-Robinson theorem to systems whose Hamiltonian is the sum of local operators whose commutators are bounded.
A quantum Bose-Hubbard model with evolving graph as toy model for emergent spacetime
Alioscia Hamma, Fotini Markopoulou, Seth Lloyd +3
We present a toy model for interacting matter and geometry that explores quantum dynamics in a spin system as a precursor to a quantum theory of gravity. The model has no a priori…
Topological Entanglement Renyi Entropy and Reduced Density Matrix Structure
Steven T. Flammia, Alioscia Hamma, Taylor L. Hughes +1
We generalize the topological entanglement entropy to a family of topological Renyi entropies parametrized by a parameter alpha, in an attempt to find new invariants for distinguis…
Topological Order Following a Quantum Quench
D. I. Tsomokos, A. Hamma, W. Zhang +2
We determine the conditions under which topological order survives a rapid quantum quench. Specifically, we consider the case where a quantum spin system is prepared in the ground…
Quantum Adiabatic Brachistochrone
A. T. Rezakhani, W. -J. Kuo, A. Hamma +2
We formulate a time-optimal approach to adiabatic quantum computation (AQC). A corresponding natural Riemannian metric is also derived, through which AQC can be understood as the p…
Entanglement and area law with a fractal boundary in a topologically ordered phase
Alioscia Hamma, Daniel A. Lidar, Simone Severini
Quantum systems with short range interactions are known to respect an area law for the entanglement entropy: the von Neumann entropy associated to a bipartition scales with the…