Hybrid Method of Efficient Simulation of Physics Applications for a Quantum Computer

Applications in quantum chemistry and materials science are of an inherently quantum mechanical nature and are promising candidates for demonstrating algorithmic quantum advantage and quantum utility. Nevertheless, the development of large-scale classical simulations of quantum circuits is crucial for determining problem sizes at the break-even point of classical and quantum methods. This talk presents a novel Clifford hybrid simulation approach designed to address the computational challenges that commonly arise in the time evolution of quantum chemistry Hamiltonians, with a focus on efficiently emulating multi-qubit rotations. This constitutes a critical part of Trotterized Hamiltonian evolution and beyond. Our proposed approach significantly reduces the computational cost of simulating quantum circuits, as multi-qubit rotations are rendered as resource-intensive as single-qubit rotations. Thereby, the dependence of simulation time on Hamiltonian locality is eliminated, which enables more efficient simulations and cost-effective studies of complex quantum systems that include high locality terms. We showcase the numerical evaluation of our integration of this emulation strategy into the Intel Quantum SDK, which is further bridging the gap between theoretical algorithm development and practical quantum software implementations.