Duality as a feasible physical transformation for quantum simulation

@article{Ashkenazi2022DualityAA,
  title={Duality as a feasible physical transformation for quantum simulation},
  author={Shachar Ashkenazi and Erez Zohar},
  journal={Physical Review A},
  year={2022}
}
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

References

SHOWING 1-10 OF 37 REFERENCES
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
Simulating 2D Effects in Lattice Gauge Theories on a Quantum Computer
TLDR
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
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
Quantum electrodynamics on a lattice: A Hamiltonian variational approach to the physics of the weak-coupling region
We develop and apply a Hamiltonian variational approach to the study of quantum electrodynamics formulated on a spatial lattice in both 2 + 1 and 3 + 1 dimensions. Two lattice versions of QED are
Digital lattice gauge theories
We propose a general scheme for a digital construction of lattice gauge theories with dynamical fermions. In this method, the four-body interactions arising in models with $2+1$ dimensions and
...
1
2
3
4
...