Tensorized Pauli decomposition algorithm

• URL: http://arxiv.org/abs/2310.13421v4
• Date: Tue, 24 Sep 2024 05:51:28 GMT
• Title: Tensorized Pauli decomposition algorithm
• Authors: Lukas Hantzko, Lennart Binkowski, Sabhyata Gupta,
• Abstract summary: This paper introduces a novel general-purpose algorithm for Pauli decomposition that employs matrix slicing and addition rather than expensive matrix multiplication. We show that the algorithm admits the best known worst-case scaling and more favorable runtimes for many practical examples.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: This paper introduces a novel general-purpose algorithm for Pauli decomposition that employs matrix slicing and addition rather than expensive matrix multiplication, significantly accelerating the decomposition of multi-qubit matrices. In a detailed complexity analysis, we show that the algorithm admits the best known worst-case scaling and more favorable runtimes for many practical examples. Numerical experiments are provided to validate the asymptotic speed-up already for small instance sizes, underscoring the algorithm's potential significance in the realm of quantum computing and quantum chemistry simulations.

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