Creating quantum correlations in generalized entanglement swapping
- URL: http://arxiv.org/abs/2109.14315v2
- Date: Fri, 12 Aug 2022 03:24:09 GMT
- Title: Creating quantum correlations in generalized entanglement swapping
- Authors: Pratapaditya Bej, Arkaprabha Ghosal, Arup Roy, Shiladitya Mal, and
Debarshi Das
- Abstract summary: We study how different types of quantum correlations can be established as the consequence of a generalized entanglement swapping protocol.
This study provides an operational tool to generate different types of single parameter families of quantum correlated states.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We study how different types of quantum correlations can be established as
the consequence of a generalized entanglement swapping protocol where starting
from two Bell pairs (1, 2) and (3, 4), a general quantum measurement (denoted
by a positive operator-valued measure or POVM) is performed on the pair (2, 3),
which results in creating quantum correlation in (1, 4) shared between two
spatially separated observers. Contingent upon using different kinds of POVMs,
we show generation or destruction of different quantum correlations in the
pairs (1, 4), (1, 2) and (3, 4). This thus reflects non-trivial transfer of
quantum correlations from the pairs (1, 2) and (3, 4) to the pair (1, 4). As an
offshoot, this study provides an operational tool to generate different types
of single parameter families of quantum correlated states (for example,
entangled but not EPR steerable, or EPR steerable but not Bell nonlocal, or
Bell nonlocal) by choosing different quantum measurements in the basic
entanglement swapping setup. We further extend our study by taking mixed
initial states shared by the pairs (1,2) and (3,4). Finally, we study network
nonlocality in our scenario. Here, we find out appropriate POVM measurement for
which the generated correlation demonstrates/does not demonstrate network
nonlocality for the whole range of the measurement parameter.
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