Symmetric Subrank of Tensors and Applications

Christandl, Matthias; Fawzi, Omar; Ta, Hoang; Zuiddam, Jeroen

doi:10.48550/arxiv.2104.01130

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“…The (logartithm of) quantum functionals are the first additive entanglement measures. A bosonic variant has been studied in [26], while we propose the logarithm of the fermionic FIG. 3.…”

Section: Fermionic Quantum Functionalmentioning

confidence: 99%

Experimental proposal to probe the extended Pauli principle

Hackl

Akopian

et al. 2023

Phys. Rev. A

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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 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.

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“…The (logartithm of) quantum functionals are the first additive entanglement measures. A bosonic variant has been studied in [26], while we propose the logarithm of the fermionic FIG. 3.…”

Section: Fermionic Quantum Functionalmentioning

confidence: 99%

Experimental proposal to probe the extended Pauli principle

Hackl

Akopian

et al. 2023

Phys. Rev. A

View full text Add to dashboard Cite

show abstract

Symmetric Subrank of Tensors and Applications

Cited by 1 publication

References 0 publications

Experimental proposal to probe the extended Pauli principle

Experimental proposal to probe the extended Pauli principle

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