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Quantum Simulation of the Majorana Equation and Unphysical Operations

Fri, 2012-03-02 17:47 - Enrique Solano
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Date: 
2011-12-09
Author(s): 

J. Casanova, C. Sabín, J. León, I. L. Egusquiza, R. Gerritsma, C. Roos, J. J. García-Ripoll, and E. Solano

Reference: 

Phys. Rev. X 1, 021018 (2011)

URL: 

http://prx.aps.org/abstract/PRX/v1/i2/e021018

We design a quantum simulator for the Majorana equation, a non-Hamiltonian relativistic wave equation that might describe neutrinos and other exotic particles beyond the standard model. Driven by the need of the simulation, we devise a general method for implementing a number of mathematical operations that are unphysical, including charge conjugation, complex conjugation, and time reversal. Furthermore, we describe how to realize the general method in a system of trapped ions. The work opens a new front in quantum simulations.