Coherence measure of ensembles with nonlocality without entanglement
- URL: http://arxiv.org/abs/2112.04430v1
- Date: Wed, 8 Dec 2021 17:41:27 GMT
- Title: Coherence measure of ensembles with nonlocality without entanglement
- Authors: Ayan Patra, Shiladitya Mal, Aditi Sen De
- Abstract summary: We introduce a measure based on l1 norm and relative entropy of coherence whose lower values capture more quantumness in ensembles.
In particular, it reaches the maximum for two-way distinguishable product ensembles with minimum rounds.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Irreversibility between preparation and discrimination processes is
manifested in the indistinguishability of orthogonal product states via local
operations and classical communication (LOCC). Characterizing quantum
properties for sets of states according to their local distinguishing property
is one of the avenues to explain the surprising results obtained in the LOCC
indistinguishability domain. We introduce a measure based on l1 norm and
relative entropy of coherence whose lower values capture more quantumness in
ensembles. In particular, it reaches the maximum for two-way distinguishable
product ensembles with minimum rounds. Moreover, to establish the hierarchy
between different product ensembles, we report that the trends of success
probabilities for orthogonal product ensembles with one-way LOCC via minimum
error discrimination scheme are also connected with the coherence-based
measures.
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