Abstract
Quantum channels that break CHSH nonlocality on all input states are known as CHSH-breaking channels. In quantum networks, such channels are useless for distributing correlations that can violate the CHSH Inequality. Motivated by previous work on activation of nonlocality in quantum states, here we demonstrate an analogous activation of CHSH-breaking channels. That is, we show that certain pairs of CHSH-breaking channels are no longer CHSH-breaking when used in combination. We find that this type of activation can emerge in both uni-directional and bi-directional communication scenarios.
Highlights
The mystery of quantum mechanics involves many counter-intuitive phenomena absent in classical mechanics
Nonlocal behavior can still be exhibited after local measurement and post-selection [11,12,13]. This reveals that nonlocal correlations are subtle in form, and they can become manifest in different scenarios
We have investigated different qubit channels that prohibit the distribution of CHSH-violating quantum states
Summary
The mystery of quantum mechanics involves many counter-intuitive phenomena absent in classical mechanics. Nonlocal behavior can still be exhibited after local measurement and post-selection [11,12,13] This reveals that nonlocal correlations are subtle in form, and they can become manifest in different scenarios. If the channel EA′→B is too noisy σAB will only be able to generate correlations that can be simulated by an LHV model If this holds for every possible input state ρAA′, EA′→B is a called a nonlocality-breaking channel, as originally introduced by Pal and Ghosh [28]. We focus on the family of CHSH-breaking channels E These are channels whose output states id ⊗ E(ρAA′) only generate local correlations when both parties choose between a pair of dichotomic observables.
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