Adiabatic quantum simulation of quantum chemistry.

Area of Science:

• Quantum Computing
• Computational Chemistry
• Quantum Physics

Background:

• Accurate computation of molecular properties is crucial for drug discovery and materials science.
• Current methods face challenges in scalability and precision for complex molecules.
• Quantum computing offers a potential paradigm shift for these calculations.

Purpose of the Study:

• To develop an efficient quantum algorithm for computing molecular properties.
• To map electronic structure Hamiltonians to 2-body qubit Hamiltonians.
• To establish precision requirements and resource scaling for quantum computation of molecular properties.

Main Methods:

• Application of the quantum adiabatic algorithm directly to molecular property computation.
• Utilizing the Bravyi-Kitaev construction to map fermionic systems to qubits.
• Employing perturbative gadgets to reduce complex Hamiltonians to a 2-body form.
• Analysis of precision requirements for coupling strengths and ancilla qubit scaling.

Main Results:

• An efficient mapping procedure from electronic structure to 2-body qubit Hamiltonians.
• Polynomial scaling of precision requirements and ancilla qubits with problem size.
• Identification of a minimal set of physically realizable qubit interactions.
• The mapping is efficient and requires only two additional interaction types beyond Ising interactions.

Conclusions:

• The proposed method enables efficient quantum computation of molecular properties.
• The mapping provides a direct dictionary from electronic structure to spin Hamiltonians.
• This approach is of direct interest to chemists for understanding molecular behavior.
• The work advances the application of quantum algorithms in computational chemistry.