Duality as a feasible physical transformation for quantum simulation

  title={Duality as a feasible physical transformation for quantum simulation},
  author={Shachar Ashkenazi and Erez Zohar},
  journal={Physical Review A},
Duality transformations are very important in both classical and quantum physics. They allow one to relate two seemingly different formulations of the same physical realm through clever mathematical manipulations, and offer numerous advantages for the study of many-body physics. In this work, we suggest a method which shall introduce them to the world of quantum simulation too: a feasible scheme for implementing duality transformations as physical operations, mapping between dual quantum states… 

Figures from this paper

Long-range entanglement from measuring symmetry-protected topological phases
A fundamental distinction between many-body quantum states are those with shortand longrange entanglement (SRE and LRE). The latter cannot be created by finite-depth circuits, underscoring the


Quantum Simulation
Simulating quantum mechanics is known to be a difficult computational problem, especially when dealing with large systems. However, this difficulty may be overcome by using some controllable quantum
Gauge redundancy-free formulation of compact QED with dynamical matter for quantum and classical computations
We introduce a way to express compact quantum electrodynamics with dynamical matter on two- and three-dimensional spatial lattices in a gauge redundancy-free manner while preserving translational
Simulating 2D Effects in Lattice Gauge Theories on a Quantum Computer
Two Variational Quantum Eigensolver (VQE) based protocols are presented for the study of magnetic field effects, and for taking an important first step towards computing the running coupling of QED.
Gauss’s law, duality, and the Hamiltonian formulation of U(1) lattice gauge theory
Quantum computers have the potential to explore the vast Hilbert space of entangled states that play an important role in the behavior of strongly interacting matter. This opportunity motivates
A resource efficient approach for quantum and classical simulations of gauge theories in particle physics
A resource-efficient protocol to simulate LGTs with continuous gauge groups in the Hamiltonian formulation, which permits an efficient description of the magnetically-dominated regime in LGTs.
Digital quantum simulation of lattice gauge theories in three spatial dimensions
In the present work, we propose a scheme for digital formulation of lattice gauge theories with dynamical fermions in 3+1 dimensions. All interactions are obtained as a stroboscopic sequence of
Gauging Quantum States: From Global to Local Symmetries in Many-Body Systems
We present an operational procedure to transform global symmetries into local symmetries at the level of individual quantum states, as opposed to typical gauging prescriptions for Hamiltonians or
The bond-algebraic approach to dualities
An algebraic theory of dualities is developed based on the notion of bond algebras. It deals with classical and quantum dualities in a unified fashion explaining the precise connection between
Photon-Mediated Stroboscopic Quantum Simulation of a Z2 Lattice Gauge Theory
Quantum simulation of lattice gauge theories (LGTs), aiming at tackling non-perturbative particle and condensed matter physics, has recently received a lot of interest and attention, resulting in