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Elucidating Reaction Mechanisms on Quantum Computers (1605.03590v2)

Published 11 May 2016 in quant-ph

Abstract: We show how a quantum computer can be employed to elucidate reaction mechanisms in complex chemical systems, using the open problem of biological nitrogen fixation in nitrogenase as an example. We discuss how quantum computers can augment classical-computer simulations for such problems, to significantly increase their accuracy and enable hitherto intractable simulations. Detailed resource estimates show that, even when taking into account the substantial overhead of quantum error correction, and the need to compile into discrete gate sets, the necessary computations can be performed in reasonable time on small quantum computers. This demonstrates that quantum computers will realistically be able to tackle important problems in chemistry that are both scientifically and economically significant.

Citations (592)

Summary

  • The paper demonstrates quantum computation's potential by accurately simulating the nitrogenase enzyme's reaction mechanism using phase estimation and Trotter-Suzuki decompositions.
  • It details resource estimates including logical and physical qubit requirements while emphasizing the importance of error correction and circuit optimization.
  • Findings indicate that scalable quantum architectures could revolutionize simulations of complex catalytic processes, advancing materials science and sustainable chemistry.

Quantum Computation for Elucidating Chemical Reaction Mechanisms: A Study of Nitrogenase

This paper presents a comprehensive analysis of how quantum computers could be harnessed to decipher complex chemical reaction mechanisms. The authors focus on the enzymatic process of biological nitrogen fixation by nitrogenase, a reaction that transforms dinitrogen into ammonia under ambient conditions and has eluded complete understanding through classical computational methods.

Methodological Framework

The research underscores the limitations of classical simulation approaches, primarily hindered by the computationally intractable electron correlation problem. Traditional techniques like Density Functional Theory (DFT), while immensely popular, often lack the precision required for accurate kinetic predictions. Quantum computers, the authors argue, offer a novel pathway due to their potential for exponential speed-ups in solving the electronic structure problem—a prospect first posited by pioneers such as Feynman and Lloyd.

At the heart of this initiative is the quantum phase estimation algorithm, which is pivotal for the quantum computation of ground state energies. The researchers consider various decompositions of the electronic Hamiltonian into Trotter-Suzuki expansions, ensuring that these quantum circuits remain feasible for existing quantum architectures. The paper provides detailed resource estimates addressing the necessity for quantum error correction and gate synthesis, highlighting the significant yet attainable requirements of such a quantum endeavor.

Results and Resources

The paper furnishes detailed resource assessments for the nitrogenase complex's prototypical structures, including FeMoco—its active site. It calculates the logical and physical qubit requirements, emphasizing rigorous error management that includes Trotter and synthesis errors. The simulations indicate that ground-state energies could be calculated within chemically significant precision, often needing less than a year on a small quantum computer or faster with scalable parallel architectures.

The authors' analyses consider several optimization strategies, including parallelizing single-qubit rotations and implementing "parallel ancilla rotations" (PAR), which would substantially mitigate computational time, albeit at the cost of significantly increased qubit requirements. However, their estimates suggest that thoroughly validated quantum computers, capable of achieving required precisions, remain within the field of foreseeable technological advancements.

Implications

The implications of this work extend beyond the confines of academic conjecture to tangible industrial and scientific applications. By effectively simulating quantum systems, the paper paves the way for a deeper understanding of catalysis and reaction mechanisms, potentially revolutionizing fields such as materials science and chemistry. The prospect of precisely simulating the active sites of enzymes, like nitrogenase, could materially impact the development of new catalysts, thus advancing sustainable industrial practices.

Conclusion and Future Research

This paper is a seminal contribution to the ongoing discourse on quantum chemistry simulations, demonstrating the transformative potential of quantum computing in solving age-old chemical puzzles. The insights garnered here underscore the critical role of quantum computation in future research, emphasizing the continued evolution of quantum algorithms, error correction techniques, and scalable architectures to meet the demands of complex molecular simulations. The methodological enhancements and future technological milestones outlined here chart a promising path for quantum-assisted chemical exploration and discovery.

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