Quantum gravity forces the QCD theta parameter to emerge as the vev of a local axion field through coherent-state representations of geometry and a quantum-information interpretation of topological-charge superselection.
Quantum nonlocality in the presence of superselection rules and data hiding protocols
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abstract
We consider a quantum system subject to superselection rules, for which certain restrictions apply to the quantum operations that can be implemented. It is shown how the notion of quantum-nonlocality has to be redefined in the presence of superselection rules: there exist separable states that cannot be prepared locally and exhibit some form of nonlocality. Moreover, the notion of local distinguishability in the presence of classical communication has to be altered. This can be used to perform quantum information tasks that are otherwise impossible. In particular, this leads to the introduction of perfect quantum data hiding protocols, for which quantum communication (eventually in the form of a separable but nonlocal state) is needed to unlock the secret.
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2019 1verdicts
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Gravity, Superselection Rules and Axions
Quantum gravity forces the QCD theta parameter to emerge as the vev of a local axion field through coherent-state representations of geometry and a quantum-information interpretation of topological-charge superselection.