Towards quantum simulation of spin systems using continuous variable quantum devices

2020/09/20 by Razieh Annabestani, Annabestani, Razieh, Brajesh Gupt +3
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.2009.09455

9 pages; v2: Acknowledgements added, minor revisions, typos fixed

arxiv created 2020/09/28 · arxiv updated 2020/09/29

Abstract

We study Bosonic representation of spin Ising model with the application of simulating two level systems using continuous variable quantum processors. We decompose the time evolution of spin systems into a sequence of continuous variable logical gates and analyze their structure. We provide an estimation of quantum circuit scaling with the size of the spin lattice system. Furthermore, we discuss the possibility of using a Gaussian Boson sampling device to estimate the ground state energy of Ising Hamiltonian. The result has potential application in developing hybrid classical-quantum algorithms such as continuous variable version of variational quantum eigensolver.

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