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Simulation of three-spin evolution under XX Hamiltonian on quantum processor of IBM-Quantum Experience

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Abstract

We simulate the evolution of three-node spin chain on the quantum processor of IBM Quantum Experience using the diagonalization of XX-Hamiltonian and representing the evolution operator in terms of CNOT operations and one-qubit rotations. We study the single excitation transfer from the first to the third node and show the significant difference between calculated and theoretical values of state transfer probability. Then, we propose a method reducing this difference by applying the two-parameter transformation including the shift and scale of the calculated probabilities. We demonstrate the universality of this transformation inside of the class of three-node evolutionary systems governed by the XX-Hamiltonian.

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Acknowledgements

Authors acknowledge the use of the IBM Quantum Experience for this work. The viewpoints expressed are those of the authors and do not reflect the official policy or position of IBM or the IBM Quantum Experience team. We acknowledge funding from the Ministry of Science and Higher Education of the Russian Federation (Grant No. 075-15-2020-779).

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  1. Institute of Problems of Chemical Physics RAS, Chernogolovka, Moscow reg., Russia, 142432

    S. I. Doronin, E. B. Fel’dman & A. I. Zenchuk

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  1. S. I. Doronin
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  2. E. B. Fel’dman
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  3. A. I. Zenchuk
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Correspondence to A. I. Zenchuk.

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Doronin, S.I., Fel’dman, E.B. & Zenchuk, A.I. Simulation of three-spin evolution under XX Hamiltonian on quantum processor of IBM-Quantum Experience. Quantum Inf Process 20, 264 (2021). https://doi.org/10.1007/s11128-021-03181-2

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  • DOI: https://doi.org/10.1007/s11128-021-03181-2

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