Experimental proposal to probe the extended Pauli principle

Lucas Hackl, Dayang Li, Nika Akopian, Matthias Christandl

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Abstract

All matter is made up of fermions, one of the fundamental type of particles in nature. Fermions follow the Pauli exclusion principle, stating that two or more identical fermions cannot occupy the same quantum state. Antisymmetry of the fermionic wave function, however, implies additional constraints on the natural occupation numbers. These constraints depend on the dimensionality and purity of the system and have so far not been explored experimentally in a fermionic system to our best knowledge. Here we propose an experiment in a multi-quantum-dot system capable of producing the highly entangled fermionic states necessary to reach the regime, where these additional constraints become dominant and can be probed. The type and strength of the required multifermion entanglement provides barriers to reaching deep into this regime. Transcending these barriers thus serves as a testing ground for the capabilities of future fermionic quantum information processing as well as quantum computer architectures based on fermionic states. All operations in our proposal are based on all-optical gates presented in Li and Akopian [ arXiv:2107.05960 (2021)]. We simulate our state preparation procedures in realistic structures, including all main decoherence sources, and find fidelities above 0.97.

Original languageEnglish
Article number012208
JournalPhysical Review A
Volume108
Issue number1
Number of pages12
ISSN2469-9926
DOIs
Publication statusPublished - Jul 2023

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