AI summary · arXiv: 2205.00864v2 · nucl-th
Quantum computing of the $^6$Li nucleus via ordered unitary coupled clusters
The essentials
- The variational quantum eigensolver (VQE) is used to calculate ground and excited state energies of quantum many-body systems.
- Construction of a parametrized trial wavefunction, known as a variational ansatz, is crucial for the VQE algorithm.
- The wavefunction should accurately represent the true eigenstate and be trainable without exponential growth in parameters.
- VQE is applied to study ground and excited state energies of $^6$Li, an odd-odd nucleus.
- Effects of ordering fermionic excitation operators in the unitary coupled clusters ansatz on VQE convergence are investigated.
- Accuracy is significantly improved by two orders of magnitude using descending order operators that preserve the $J_z$ quantum number.
- Classical state-vector simulators with arbitrary measurement accuracy are used to determine optimal ansatz parameter values.
- Energy eigenstates of $^6$Li are evaluated on an IBM superconducting quantum chip using these parameter values.
- Error mitigation techniques are applied during post-processing to enhance accuracy further.
- Results show impressive accuracy in reproducing exact energy values for both ground and first excited states of $^6$Li.
- Reported errors are 3.8% for the ground state and 0.1% for the first excited state.
- VQE can effectively compute energy properties of complex quantum systems like nuclei by refining and optimizing variational ansatz constructions through careful operator ordering consideration.
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