Abstract
Quantum Darwinism proposes that the proliferation of redundant information plays a major role in the emergence of objectivity out of the quantum world. Is this kind of objectivity necessarily classical? We show that if one takes Spekkens' notion of noncontextuality as the notion of classicality and the approach of Brand\~{a}o, Piani and Horodecki to quantum Darwinism, the answer to the above question is `yes', if the environment encodes sufficiently well the proliferated information. Moreover, we propose a threshold on this encoding, above which one can unambiguously say that classical objectivity has emerged under quantum Darwinism.
Highlights
Quantum theory is a normative set of rules the explanatory power of which finds no counterpart in classical theories [1,2,3]
We propose a threshold on this encoding, above which one can unambiguously say that classical objectivity has emerged under quantum Darwinism
Quantum Darwinism aims to explain how independent observers may obtain the same information about a central quantum system, despite the odd features of quantum theory that defy a classical notion of objectivity
Summary
Quantum theory is a normative set of rules the explanatory power of which finds no counterpart in classical theories [1,2,3]. To investigate the emergence of an objective (commonly agreed upon) reality, we consider that the environment plays a crucial role in mediating interactions between observers and the observed system Within this paradigm, quantum Darwinism (QD) is undoubtedly one of the most physically appealing notions, seeking to explain why distinct and independent observers usually obtain the same information regarding the system with which they are interacting [12,13,14]. We consider the approach to quantum Darwinism due to Brandão, Piani, and Horodecki [15], which is independent of specific aspects of the system-environment interaction and is capable of showing the generic emergence of objectivity. Our proofs can be of interest to quantum state discrimination, as we show that a high success probability on this task can point to a geometric structure of the states being discriminated—they must be vertices of a simplex in the space of density matrices
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