科研之友
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摘要
In the context of quantum tomography, we recently introduced a quantity called a partial determinant [C. Jackson and S. J. van Enk, Phys. Rev. A 92, 042312 (2015)]. Partial determinants (PDs) are explicit functions of the collected data that are sensitive to the presence of state preparation and measurement correlated errors. As such, PDs bypass the need to estimate state preparation or measurement parameters individually. In the present work, we suggest a theoretical perspective for the PD. We show that the PD is a holonomy and that the notions of state, measurement, and tomography can be generalized to nonholonomic constraints. To illustrate and clarify these abstract concepts, direct analogies are made to parallel transport, thermodynamics, and gauge field theory. This paper is the first of a two-part series where the following paper is about scalable generalizations of the PD in multiqudit systems, with possible applications for debugging a quantum computer.
- 出版日期2017-5-12
