analiza aiqbench
This preprint establishes a theoretical framework for uniquely determining non-unitary, rank-two single-qubit quantum channels by analyzing their action on just three specific density matrices. The work extends previous findings on unitary evolutions to include coherent and incoherent controls, providing a streamlined method for verifying target system dynamics in open quantum environments.
Unique determination and generation of rank two single-qubit quantum channels
arXiv:2609.14707v1 Announce Type: new Abstract: An important problem in quantum technologies is the generation of a target evolution of an open quantum system. A core component of this task is the ability to determine whether the actual evolution of the system coincides with the target evolution. For the generation of unitary quantum channels in open quantum systems, it was shown by Goerz, Reich and Koch [New J. Phys. {\bf 16} 055012 (2014)] that for determining whether the actual evolution coincides with a desired unitary it is sufficient to compare their action on three special density matrices. In this work, we consider controlled generation and unique determination of non-unitary quantum channels in open quantum systems with particular emphasis on rank two single-qubit quantum channels. We prove that to uniquely determine such quantum channels it is sufficient to consider their action on only three suitably chosen density matrices. Based on this theoretical result, we numerically investigate generation of various non-unitary target single-qubit quantum channels in open quantum systems using coherent and incoherent controls.
Abstract:An important problem in quantum technologies is the generation of a target evolution of an open quantum system. A core component of this task is the ability to determine whether the actual evolution of the system coincides with the target evolution. For the generation of unitary quantum channels in open quantum systems, it was shown by Goerz, Reich and Koch [New J. Phys. {\bf 16} 055012 (2014)] that for determining whether the actual evolution coincides with a desired unitary it is sufficient to compare their action on three special density matrices. In this work, we consider controlled generation and unique determination of non-unitary quantum channels in open quantum systems with particular emphasis on rank two single-qubit quantum channels. We prove that to uniquely determine such quantum channels it is sufficient to consider their action on only three suitably chosen density matrices. Based on this theoretical result, we numerically investigate generation of various non-unitary target single-qubit quantum channels in open quantum systems using coherent and incoherent controls.
This is preprint of the finally published version. Published version has a significantly polished numerical part
arXiv:2609.14707 [quant-ph]
(or arXiv:2609.14707v1 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2609.14707 Focus to learn more arXiv-issued DOI via DataCite (pending registration)
J. Phys. A: Math. Theor. 59, 355309 (2026)
https://doi.org/10.1088/1751-8121/ae9b4f Focus to learn more DOI(s) linking to related resources
arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.
Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.
Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.
Text integral sub licența deschisă a publicației · 291 cuvinte
