Abstract
We summarize a recent reconstruction of the quantum theory of qubits from rules constraining an observer’s acquisition of information about physical systems. This review is accessible and fairly self-contained, focusing 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 by-product, it also unravels new ‘conserved informational charges’ from complementarity relations that characterize the unitary group and the set of pure states.
Highlights
Why is the physical world described by quantum theory? If we wish to sensibly address this question, we have to step beyond quantum theory and to consider it within a landscape of alternative theories
The result would be a reconstruction of quantum theory from operational axioms [1,2,3,4,5,6,7,8,9,10] and should ideally yield a better understanding of what quantum theory tells us about Nature; and why it is the way it is
Synopsis of the Reconstruction Steps and Key Results. Since this gives rise to a constructive derivation of the explicit architecture of qubit quantum theory, it involves a large number of individual steps compared to the rather abstract reconstructions [3,4,5,6,7,8,9,10]
Summary
The result would be a reconstruction of quantum theory from operational axioms [1,2,3,4,5,6,7,8,9,10] and should ideally yield a better understanding of what quantum theory tells us about Nature; and why it is the way it is In this manuscript, we shall review and summarize how the quantum formalism for arbitrarily many qubits can be reconstructed from operational rules restricting an observer’s acquisition of information about a set of observed systems [1,2].
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