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Local operation on identical particles systems

Abstract:

We describe identical particles through their extrinsic physical properties and operationally with an operator of selective measure M<inf>m</inf>. The operator M<inf>m</inf> is formed through non-symmetrized tensor product of one-particle measurement operators, so that it does not commute with the permutation operator P. This operator of selective measure M<inf>m</inf> is a local operation (LO) if it acts on physical systems of distinguishable particles, but when M<inf>m</inf> acts on the Hilbert sub-space of a system with a constant number of indistinguishable particles this can generate entanglement in the system. We will call entanglement by measurement (EbM), this way of producing entanglement. In this framework, we show entangle production examples for systems of two fermions (or bosons) when the operator M<inf>m</inf> has two-particle events that are not mutually exclusive.