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Article overview
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Contextuality of Identical Particles | | Pawel Kurzynski
; | | Date: |
5 Sep 2016 | | Abstract: | A generalisation of quantum contextuality to the case of many indentical
particles is presented. The model consists of a finite collection of modes that
can be occupied by N particles, either bosons or fermions. Measurement
scenarios allow one to measure occupation of each mode in at least two
different measurement contexts. The system is said to be non-contextual if the
occupation numbers can be assigned to modes in each measurement scenario. The
assignment is done under the non-contextuality assumption, i.e., an occupation
number assigned to a mode does not depend on a scenario in which this mode is
measured. In addition, the total number of particles has to be conserved,
therefore the sum of occupation numbers in each measurement context is equal to
N. For N=1 the model does not differ from the standard contextuality scenario.
However, for N>1 the problem reveals new complex features. In particular, it is
shown that a type of contextuality exhibited by the system (state-dependent,
state-independent, or non-contextual) depends on the type and the number of
particles. Further properties of this model and open problems are also
discussed. | | Source: | arXiv, 1609.1250 | | Services: | Forum | Review | PDF | Favorites | |
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