Testing the necessity of complex numbers in quantum mechanics with IBM quantum computers

• URL: http://arxiv.org/abs/2205.01262v2
• Date: Thu, 20 Oct 2022 16:11:53 GMT
• Title: Testing the necessity of complex numbers in quantum mechanics with IBM quantum computers
• Authors: Jarrett L. Lancaster and Nicholas M. Palladino
• Abstract summary: IBM quantum computers are used to test the necessity of complex numbers in the standard formulation of quantum mechanics. Certain devices possess sufficiently small error rates to yield convincing evidence that a faithful description of quantum phenomena must involve complex numbers.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: IBM quantum computers are used to perform a recently-proposed experiment testing the necessity of complex numbers in the standard formulation of quantum mechanics. While the noisier devices are incapable of delivering definitive results, it is shown that certain devices possess sufficiently small error rates to yield convincing evidence that a faithful description of quantum phenomena must involve complex numbers. The results are consistent with previous experiments and robust against daily calibration for several freely-available devices. This work demonstrates the feasibility of using cloud-based, noisy, intermediate-scale quantum devices to test certain foundational features of quantum mechanics.

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