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Entanglement Theory Quantum Correlations
Open Quantum Systems Decoherence
Quantum Simulation
Multimode entanglement for fermions
arXiv
Authors: Michel Rouleux
Year
2019
Paper ID
7284
Status
Preprint
Abstract Read
~2 min
Abstract Words
102
Citations
N/A
Abstract
We are motivated by tripartite entanglement for fermions. While GHZ or W states involve 3-fold intrication, we consider here piecewise intrication of 3 fermions in {bf C}2, namely of type ab+bc+ca. Before interaction with Stern-Gerlach apparatus, qu-bits are distinguishable; at the output however they turn into un-distinguishable particles, whose anti-symmetric wave function is of the form det(b-a,c-a) (affine determinant). More generally, d+1 intricated fermions in {bf C}d can be represented by the anti-symmetric wave function det\(a1-a0,a2-a0,cdots,ad-a0\). We investigate also properties of affine Slater determinants, as expectation values or reduced density matrices.
Why This Paper Matters
- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
- It adds a 2019 reference point for readers tracking recent quantum research.
- We are motivated by tripartite entanglement for fermions.
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