Nonlocality without entanglement: Party asymmetric case
- URL: http://arxiv.org/abs/2111.14399v1
- Date: Mon, 29 Nov 2021 09:33:39 GMT
- Title: Nonlocality without entanglement: Party asymmetric case
- Authors: Atanu Bhunia, Indrani Chattopadhyay and Debasis Sarkar
- Abstract summary: We construct a minimal set of party asymmetry genuine nonlocal set in arbitrary large dimensional composite quantum systems.
We provide a local discriminating protocol by using a three qubit GHZ state as a resource.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: A set of orthogonal product states of a composite Hilbert space is genuinely
nonlocal if the states are locally indistinguishable across any bipartition. In
this work, we construct a minimal set of party asymmetry genuine nonlocal set
in arbitrary large dimensional composite quantum systems $C^d\otimes C^d\otimes
C^d$. We provide a local discriminating protocol by using a three qubit GHZ
state as a resource. On the contrary, we observe that single-copy of two qubit
Bell states provide no advantage for this discrimination task. Recently, Halder
et al. [Phys. Rev. Lett. 122, 040403 (2019)], proposed the concept of strong
nonlocality without entanglement and ask an open question whether there exist
an incomplete strong nonlocal set or not. In [Phys. Rev. A 102, 042228 (2020)],
an answer is provided by the authors. Here, we construct an incomplete party
asymmetry strong nonlocal set which is more stronger than the set constructed
in [Phys. Rev. A 102, 042228 (2020)] with respect to the consumption of
entanglement as a resource for their respective discrimination tasks.
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