



02721nas a2200253   4500008004100000245016100041210006900202260001400271300001100285490000600296520192600302100002002228700001502248700001802263700001902281700001802300700001902318700001602337700002102353700001402374700002202388700002002410856003702430       2022                        eng d00aAccurate and Efficient Quantum Computations of Molecular Properties Using Daubechies Wavelet Molecular Orbitals: A Benchmark Study against Experimental Data0 aAccurate and Efficient Quantum Computations of Molecular Propert  c5/28/2022  a0203600 v33 a<p>Although quantum computation (QC) is regarded as a promising numerical method for computational quantum chemistry, current applications of quantum-chemistry calculations on quantum computers are limited to small molecules. This limitation can be ascribed to technical problems in building and manipulating more qubits and the associated complicated operations of quantum gates in a quantum circuit when the size of the molecular system becomes large. As a result, reducing the number of required qubits is necessary to make QC practical. Currently, the minimal STO-3G basis set is commonly used in benchmark studies because it requires the minimum number of spin orbitals. Nonetheless, the accuracy of using STO-3G is generally low and thus cannot provide useful predictions. We propose to adopt Daubechies wavelet functions as an accurate and efficient method for QCs of molecular electronic properties. We demonstrate that a minimal basis set constructed from Daubechies wavelet basis can yield accurate results through a better description of the molecular Hamiltonian, while keeping the number of spin orbitals minimal. With the improved Hamiltonian through Daubechies wavelets, we calculate vibrational frequencies for H2 and LiH using quantum-computing algorithm to show that the results are in excellent agreement with experimental data. As a result, we achieve quantum calculations in which accuracy is comparable with that of the full configuration interaction calculation using the cc-pVDZ basis set, whereas the computational cost is the same as that of a STO-3G calculation. Thus, our work provides a more efficient and accurate representation of the molecular Hamiltonian for efficient QCs of molecular systems, and for the first time demonstrates that predictions in agreement with experimental measurements are possible to be achieved with quantum resources available in near-term quantum computers.</p>1 aHong, Cheng-Lin1 aTsai, Ting1 aChou, Jyh-Pin1 aChen, Peng-Jen1 aTsai, Pei-Kai1 aChen, Yu-Cheng1 aKuo, En-Jui1 aSrolovitz, David1 aHu, Alice1 aCheng, Yuan-Chung1 aGoan, Hsi-Sheng  uhttps://arxiv.org/abs/2205.14476