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Quantum theory from rules on information acquisition
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We summarise a recent reconstruction of the quantum theory of qubits from rules constraining an observer's acquisition of information about physical systems. This review of [arXiv:1412.8323, arXiv:1511.01130] is accessible and fairly self-contained, focussing on the main ideas and results and not the technical details. The reconstruction offers an informational explanation for the architecture of the theory and specifically for its correlation structure. In particular, it explains entanglement, monogamy and non-locality compellingly from limited accessible information and complementarity. As a byproduct, it also unravels new `conserved informational charges' from complementarity relations that characterise the unitary group and the set of pure states.
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An algebraically closed family of informational n-qubit purity invariants
A Clifford orbit of algebraically closed Pauli subsets J yields state-independent Brukner–Zeilinger purity invariants I_ψ(J)=2^{n-1} for all pure n-qubit states.
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