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- W2947011570 abstract "We probe the theoretical connection among three different approaches to analyze the entanglement of identical particles, i.e., the first quantization language (1QL), exterior and elementary-symmetric products (which has the mathematical equivalence to no-labeling approaches), and the algebraic approach based on the GNS construction. Among several methods to quantify entanglement of identical particles, we focus on the computation of reduced density matrix, which can be achieved by the concept of emph{symmetrized partial trace} defined in 1QL. We show that the symmetrized partial trace corresponds to the interior product between exterior (or elementary symmetric) state vectors, which also corresponds to the subalgebra restriction in the algebraic approach based on GNS representation. By expressing the state of identical particles as exterior and elementary symmetric state vectors, we can also prove that GHJW theorem holds for identical particles." @default.
- W2947011570 created "2019-06-07" @default.
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- W2947011570 date "2019-06-03" @default.
- W2947011570 modified "2023-09-27" @default.
- W2947011570 title "Reduced Density Matrix of Identical Particles from Three Aspects: the First Quantization, Exterior Products, and GNS representation" @default.
- W2947011570 hasPublicationYear "2019" @default.
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