Short-time simulation of quantum dynamics by Pauli measurements

• URL: http://arxiv.org/abs/2412.08719v1
• Date: Wed, 11 Dec 2024 19:00:03 GMT
• Title: Short-time simulation of quantum dynamics by Pauli measurements
• Authors: Paul K. Faehrmann, Jens Eisert, Maria Kieferova, Richard Kueng,
• Abstract summary: We propose leveraging the power of measurements to simulate short-time quantum dynamics of physically prepared quantum states in classical post-processing. While limited to short simulation times, our hybrid quantum-classical method is equipped with rigorous error bounds.
• Score: 0.889510329047858
• License:
• Abstract: Simulating the dynamics of complex quantum systems is a central application of quantum devices. Here, we propose leveraging the power of measurements to simulate short-time quantum dynamics of physically prepared quantum states in classical post-processing using a truncated Taylor series approach. While limited to short simulation times, our hybrid quantum-classical method is equipped with rigorous error bounds. It is extendable to estimate low-order Taylor approximations of smooth, time-dependent functions of tractable linear combinations of measurable operators. These insights can be made use of in the context of Hamiltonian learning and device verification, short-time imaginary time evolution, or the application of intractable operations to sub-universal quantum simulators in classical post-processing.

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