# Quantum simulation of quantum field theories in trapped ions.

@article{Casanova2011QuantumSO, title={Quantum simulation of quantum field theories in trapped ions.}, author={Jorge Casanova and Lucas Lamata and I{\~n}igo L. Egusquiza and Rene Gerritsma and Christian F. Roos and Juan Jos{\'e} Garc{\'i}a-Ripoll and Enrique Solano}, journal={Physical review letters}, year={2011}, volume={107 26}, pages={ 260501 } }

We propose the quantum simulation of fermion and antifermion field modes interacting via a bosonic field mode, and present a possible implementation with two trapped ions. This quantum platform allows for the scalable add up of bosonic and fermionic modes, and represents an avenue towards quantum simulations of quantum field theories in perturbative and nonperturbative regimes.

## 71 Citations

### Efficient quantum simulation of fermionic and bosonic models in trapped ions

- Physics
- 2013

We analyze the efficiency of quantum simulations of fermionic and bosonic models in trapped ions. In particular, we study the optimal time of entangling gates and the required number of total…

### Quantum simulation of interacting fermion lattice models in trapped ions.

- PhysicsPhysical review letters
- 2012

We propose a method of simulating efficiently many-body interacting fermion lattice models in trapped ions, including highly nonlinear interactions in arbitrary spatial dimensions and for arbitrarily…

### Experimental quantum simulation of fermion-antifermion scattering via boson exchange in a trapped ion

- PhysicsNature Communications
- 2017

The authors use a multilevel trapped ion to simulate the processes of self-interaction and particle-antiparticle creation/annihilation, using a simplified model of fermion scattering in both perturbative and non-perturbative quantum electrodynamics.

### Quantum Simulation of a Lattice Schwinger Model in a Chain of Trapped Ions

- Physics
- 2013

Gauge theories such as quantum electrodynamics, in principle, give us a precise understanding of the interactions between subatomic particles, but often the calculations involved are beyond current…

### Fermion-fermion scattering in quantum field theory with superconducting circuits.

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- 2015

An analog-digital quantum simulation of fermion-fermion scattering mediated by a continuum of bosonic modes within a circuit quantum electrodynamics scenario is proposed and the complexity-simulating-complexity concept should become a leading paradigm in any effort towards scalable quantum simulations.

### Realization of interacting quantum field theories in driven tight-binding lattices

- Physics
- 2012

It is theoretically shown that the coherent hopping dynamics of a non-relativistic particle in engineered tight-binding lattices subjected to combined ac and dc driving forces can mimic in Fock space…

### Simulating para-Fermi oscillators

- PhysicsScientific Reports
- 2018

Finite-dimensional representations of even order para-Fermi oscillators are shown to be feasible of quantum simulation under weak coupling, which opens the door to their potential implementation in different contemporaneous quantum electrodynamics platforms.

### Quantum simulation of the Weyl equation with a trapped ion

- PhysicsQuantum Inf. Process.
- 2019

This study investigates a method of simulating the Weyl equation in 1-2 dimension by a single trapped ion and makes predictions about a two-dimensional Zitterbewegung and an especially interesting phenomenon of Weyl fermions, which might enhance the understanding of neutrinos.

### Quantum computation of scattering in scalar quantum field theories

- PhysicsQuantum Inf. Comput.
- 2014

A quantum algorithm to compute relativistic scattering amplitudes in massive ϕ4 theory in spacetime of four and fewer dimensions offers exponential speedup over existing classical methods at high precision or strong coupling.

### Digital quantum simulation of hadronization in Yang–Mills theory

- Physics
- 2020

A quantum algorithm of SU(N) Yang-Mills theory is formulated in terms of quantum circuits. It can nonperturbatively calculate the Dyson series and scattering amplitudes with polynomial complexity.…

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