12 citations · 19 across the 13 of their papers we have counts for
8 papers · 1 filter
Tunable Bands in 1D Fractional Quantum Media
Brenden R. Guyette, Joshua M. Lewis, Lincoln D. Carr
Fractional calculus has become an essential framework in geophysics, optics, and biological systems to capture long-range correlations and anomalous transport. In this article, we…
Lévy Light Cones and Critical Causality in Fractional Multiscale Quantum Ising Models
Joshua M Lewis, Zhexuan Gong, Lincoln D Carr
We study causality and criticality in a one-dimensional fractional multiscale transverse-field Ising model, where fractional derivatives generate long range interactions beyond the…
Rotational decoherence dynamics in ultracold molecules induced by a tunable spin environment: The Central Rotor Model
Timur V. Tscherbul, Lincoln D. Carr
We show that quantum rotational wavepacket dynamics in molecules can be described by a new system-environment model, which consists of a rotational subsystem coupled to a magnetica…
Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model
Joshua M. Lewis, Lincoln D. Carr
Until now multiscale quantum problems have appeared to be out of reach at the many-body level relevant to strongly correlated materials and current quantum information devices. In…
Iterative quantum optimization of spin glass problems with rapidly oscillating transverse fields
Brandon Barton, Jacob Sagal, Sean Feeney +5
In this work, we introduce a new iterative quantum algorithm, called Iterative Symphonic Tunneling for Satisfiability problems (IST-SAT), which solves quantum spin glass optimizati…
Integrability of Goldilocks quantum cellular automata
Logan E. Hillberry, Lorenzo Piroli, Eric Vernier +3
Goldilocks quantum cellular automata (QCA) have been simulated on quantum hardware and produce emergent small-world correlation networks. In Goldilocks QCA, a single-qubit unitary…
Exploring Multiscale Quantum Media: High-Precision Efficient Numerical Solution of the Fractional Schrödinger equation, Eigenfunctions with Physical Potentials, and Fractionally-Enhanced Quantum Tunneling
Joshua M. Lewis, Lincoln D. Carr
Fractional evolution equations lack generally accessible and well-converged codes excepting anomalous diffusion. A particular equation of strong interest to the growing intersectio…
On the approximability of random-hypergraph MAX-3-XORSAT problems with quantum algorithms
Eliot Kapit, Brandon A. Barton, Sean Feeney +5
A canonical feature of the constraint satisfaction problems in NP is approximation hardness, where in the worst case, finding sufficient-quality approximate solutions is exponentia…