The Role of Localizable Concurrence in Quantum Teleportation Protocols
- URL: http://arxiv.org/abs/2106.06653v2
- Date: Tue, 10 Aug 2021 13:01:34 GMT
- Title: The Role of Localizable Concurrence in Quantum Teleportation Protocols
- Authors: Mirko Consiglio, Louis Zammit Mangion and Tony John George Apollaro
- Abstract summary: For mixed multi-partite states the lack of computable entanglement measures has made the identification of the quantum resource responsible for this advantage more challenging.
We show that any teleportation protocol using an arbitrary multi-partite state, that includes a Bell measurement, requires a non-vanishing localizable concurrence between two of its parties in order to perform better than the classical protocol.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Teleporting an unknown qubit state is a paradigmatic quantum information
processing task revealing the advantage of quantum communication protocols over
their classical counterpart. For a teleportation protocol using a Bell state as
quantum channel, the resource has been identified to be the concurrence.
However, for mixed multi-partite states the lack of computable entanglement
measures has made the identification of the quantum resource responsible for
this advantage more challenging. Here, by building on previous results showing
that localizable concurrence is the necessary resource for controlled quantum
teleportation, we show that any teleportation protocol using an arbitrary
multi-partite state, that includes a Bell measurement, requires a non-vanishing
localizable concurrence between two of its parties in order to perform better
than the classical protocol. By first analyzing the GHZ channel and GHZ
measurement teleportation protocol, in the presence of GHZ-symmetric-preserving
noise, we compare different multi-partite entanglement measures with the
fidelity of teleportation, and we find that the protocol performs better than
the classical protocol when all multi-partite entanglement measures vanish,
except for the localizable concurrence. Finally, we extend our proof to an
arbitrary teleportation protocol with an arbitrary multi-partite entangled
channel.
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