Quantum computation of nuclear observables involving linear combination of unitary operators

Abstract

We present the quantum computation of nuclear observables where the operators of interest are first decomposed in terms of the linear combination of unitaries. Then we utilise the Hadamard test and the linear combination of unitaries (LCU) based methods to compute the expectation values. We apply these methods to calculate the electric quadrupole moment of deuteron. The results are compared for the Jordan-Wigner transformation and Gray code encoding. We discuss the versatility of our approach that can be utilized in general to calculate several observables on a quantum computer.

11 pages, 12 figures, accepted for publication in Phys. Rev. C

References in corpus (6)

• Improving Hamiltonian encodings with the Gray code
• Preparation of excited states for nuclear dynamics on a quantum computer
• Lipkin model on a quantum computer
• Accessing ground state and excited states energies in many-body system after symmetry restoration using quantum computers
• Simulating excited states of the Lipkin model on a quantum computer
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