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Towards quantum simulation of spin systems using continuous variable quantum devices

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arxiv 2009.09455 v2 pith:MXIQQK3R submitted 2020-09-20 quant-ph

Towards quantum simulation of spin systems using continuous variable quantum devices

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keywords quantumcontinuousspinvariablesystemsapplicationisingalgorithms
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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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