Guy Pardo

Truncation-Free Quantum Simulation of Pure-Gauge Compact QED Using Josephson Arrays

  1. Guy Pardo,
  2. Julian Bender,
  3. Nadav Katz,
  4. and Erez Zohar
Quantum simulation is one of the methods that have been proposed and used in practice to bypass computational challenges in the investigation of lattice gauge theories. While most of
the proposals rely on truncating the infinite dimensional Hilbert spaces that these models feature, we propose a truncation-free method based on the exact analogy between the local Hilbert space of lattice QED and that of a Josephson junction. We provide several proposals, mostly semi-analog, arranged according to experimental difficulty. Our method can simulate a quasi-2D system of up to 2×N plaquettes, and we present an approximate method that can simulate the fully-2D theory, but is more demanding experimentally and not immediately feasible. This sets the ground for analog quantum simulation of lattice gauge theories with superconducting circuits, in a completely Hilbert space truncation-free procedure, for continuous gauge groups.
arxiv pdf

Compact Itinerant Microwave Photonics with Superconducting High-Kinetic Inductance Microstrips

  1. Samuel Goldstein,
  2. Guy Pardo,
  3. Naftali Kirsh,
  4. Niklas Gaiser,
  5. Ciprian Padurariu,
  6. Björn Kubala,
  7. Joachim Ankerhold,
  8. and Nadav Katz
Microwave photonics is a remarkably powerful system for quantum simulation and technologies, but its integration in superconducting circuits, superior in many aspects, is constrained
by the long wavelengths and impedance mismatches in this platform. We introduce a solution to these difficulties via compact networks of high-kinetic inductance microstrip waveguides and coupling wires with strongly reduced phase velocities. We demonstrate broadband capabilities for superconducting microwave photonics in terms of routing, emulation and generalized linear and nonlinear networks.
arxiv pdf