Using quantum computers to tackle problems in chemistry is one of the first and most promising fields of application for near-term available quantum computers in the noisy intermediate-scale quantum computer (NISQ) era. To present applications, we start from small examples well known in classical computing and move to open questions we—all of humanity—face in solving issues like reducing the amount of energy needed to produce fertilizers and optimizing the underlying chemical reaction. We begin with the general process of simulating chemical molecules with quantum computers. Our first goal is to use potential energy surface calculation to determine the bonding energy of H2. We then adapt the example to CO2 and the metal—organic frameworks used in direct air capture. We show the adaptions and restrictions for current quantum computer hardware with a limited number of qubits during the NISQ era. We present the Haber— Bosch process and its importance for all humanity and investigate how and in which areas quantum computing can be applied in future research. We conclude the chapter by outlining what still needs to be done in research to constructively apply quantum computing in chemistry.
Quantum computers have been proved to be able to mimic quantum systems efficiently in polynomial time. Quantum chemistry problems, such as static molecular energy calculations and dynamical chemical reaction simulations, become very intractable on classical computers with scaling up of the system. Therefore, quantum simulation is a feasible and effective approach to tackle quantum chemistry problems. Proof-of-principle experiments have been implemented on the calculation of the hydrogen molecular energies and one-dimensional chemical isomerization reaction dynamics using nuclear magnetic resonance systems. We conclude that quantum simulation will surpass classical computers for quantum chemistry in the near future.
Quantum computing leverages the principles of quantum mechanics in novel ways to tackle complex chemistry problems that cannot be accurately addressed using traditional quantum chemistry methods. However, the high computational cost and available number of physical qubits with high fidelity limit its application to small chemical systems. This work employed a quantum-classical framework which features a quantum active space-embedding approach to perform simulations of chemical reactions that require up to 14 qubits. This framework was applied to prototypical example metal hydrogenation reactions: the coupling between hydrogen and Li2, Li3, and Li4 clusters. Particular attention was paid to the computation of barriers and reaction energies. The predicted reaction profiles compare well with advanced classical quantum chemistry methods, demonstrating the potential of the quantum embedding algorithm to map out reaction profiles of realistic gas-phase chemical reactions to ascertain qualitative energetic trends. Additionally, the predicted potential energy curves provide a benchmark to compare against both current and future quantum embedding approaches.