scholarly journals Symmetrized persistency of Bell correlations for Dicke states and GHZ-based mixtures

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Marcin Wieśniak
Keyword(s):  
Communication Complexity ◽  
Quantum Communication ◽  
Bell Inequality ◽  
Bell Inequalities ◽  
Quantum Correlations ◽  
Complexity Reduction ◽  
Main Difficulty ◽  
Quantum Communication Complexity ◽  
Number Of Particles ◽  
Dicke States

AbstractQuantum correlations, in particular those, which enable to violate a Bell inequality, open a way to advantage in certain communication tasks. However, the main difficulty in harnessing quantumness is its fragility to, e.g, noise or loss of particles. We study the persistency of Bell correlations of GHZ based mixtures and Dicke states. For the former, we consider quantum communication complexity reduction (QCCR) scheme, and propose new Bell inequalities (BIs), which can be used in that scheme for higher persistency in the limit of large number of particles N. In case of Dicke states, we show that persistency can reach 0.482N, significantly more than reported in previous studies.

Exponential Separation for One-Way Quantum Communication Complexity, with Applications to Cryptography

2009 ◽  
Vol 38 (5) ◽  
pp. 1695-1708 ◽  
Author(s):  
Dmitry Gavinsky ◽  
Julia Kempe ◽  
Iordanis Kerenidis ◽  
Ran Raz ◽  
Ronald de Wolf
Keyword(s):  
Communication Complexity ◽  
Quantum Communication ◽  
Exponential Separation ◽  
Quantum Communication Complexity
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