Publications (56)
Characterization of Reflection Positivity: Majoranas and Spins
Arthur Jaffe, Bas Janssens
We study linear functionals on a Clifford algebra (algebra of Ma- joranas) equipped with a reflection automorphism. For Hamiltonians that are functions of Majoranas or of spins, we…
Universal Dynamics with Globally Controlled Analog Quantum Simulators
Hong-Ye Hu, Abigail McClain Gomez, Liyuan Chen +6
Analog quantum simulators with global control fields have emerged as powerful platforms for exploring complex quantum phenomena. Despite these advances, a fundamental theoretical q…
Duality of Graph Invariants
Kaifeng Bu, Weichen Gu, Arthur Jaffe
We study a new set of duality relations between weighted, combinatoric invariants of a graph . The dualities arise from a non-linear transform , acting on the weig…
Compressed Teleportation
Arthur Jaffe, Zhengwei Liu, Alex Wozniakowski
In a previous paper we introduced holographic software for quantum networks, inspired by work on planar para algebras. This software suggests the definition of a compressed transfo…
Reflection Positivity for Parafermions
Arthur Jaffe, Fabio L. Pedrocchi
We establish reflection positivity for Gibbs trace states for a class of gauge-invariant, reflection-invariant Hamiltonians describing parafermion interactions on a lattice. We rel…
Quantum scrambling with classical shadows
Roy J. Garcia, You Zhou, Arthur Jaffe
Quantum dynamics is of fundamental interest and has implications in quantum information processing. The four-point out-of-time-ordered correlator (OTOC) is traditionally used to qu…