Abstract
We propose a scheme to simulate the 1D Majorana equation with two Cooper pair boxes coupled to a 1D superconducting transmission line resonator, where strong coupling limit can be achieved. With proper choice of systematic parameters, we are able to engineer different kind of interactions, which are indispensable for simulating the Majorana equation in an enlarged real Hilbert space. Measurement of a conserved observable, i.e., the pseudo-helicity, via transmission spectrum of the cavity field can verify the simulated Majorana wave function. The measurement is experimentally resolvable according to our estimation based on conservative experimental parameters.
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