We introduce a quantum algorithm designed to determine the response of an atomic nucleus subjected to an external electromagnetic perturbation. This approach employs a harmonic oscillator Hamiltonian and leverages the quantum phase estimation (QPE) method to perform the Hamiltonian simulation on a quantum computer. The outcomes from this Hamiltonian simulation are then used to compute the response. We validate our quantum algorithm results by comparing them with experimental data, showing a strong correlation. Specifically, we demonstrate the results for 120Sn and 208Pb, aligning them with experimental data in the Sn and Pb regions, and also comparing the outcomes with those derived from traditional linear response theory. Overall, our approach presents a promising advancement in the field of quantum computing and may have significant implications for studying the response of complex physical systems to external perturbations.

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Linear Response Using Quantum Computer

  • Nifeeya Singh,
  • Abhishek,
  • Pooja Siwach,
  • P. Arumugam

摘要

We introduce a quantum algorithm designed to determine the response of an atomic nucleus subjected to an external electromagnetic perturbation. This approach employs a harmonic oscillator Hamiltonian and leverages the quantum phase estimation (QPE) method to perform the Hamiltonian simulation on a quantum computer. The outcomes from this Hamiltonian simulation are then used to compute the response. We validate our quantum algorithm results by comparing them with experimental data, showing a strong correlation. Specifically, we demonstrate the results for 120Sn and 208Pb, aligning them with experimental data in the Sn and Pb regions, and also comparing the outcomes with those derived from traditional linear response theory. Overall, our approach presents a promising advancement in the field of quantum computing and may have significant implications for studying the response of complex physical systems to external perturbations.