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Review of "Does Quantum Information Require Additional Structure?", by Ryszard Horodecki

Read, James

Published Sep 16, 2025• 0 citations
OpenAlex

Abstract

I review the following article: "Does Quantum Information Require Additional Structure?", by Ryszard Horodecki (Foundations of Physics 55:17, 2025)

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Macroscopicity and observational deficit in states, operations, and correlations *

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Zen Revista, 10 PHYSICS

Entanglement is quantum mechanics' deepest departure from classical intuition: correlated states that no local description can reproduce. This article presents a narrative review of the field's canonical line: the 1935 Einstein-Podolsky-Rosen paradox and Schrodinger's naming of the phenomenon, Bohm's 1951 reformulation, Bell's 1964 theorem, the CHSH inequality, the pioneering experiments of Freedman and Clauser and of Aspect and colleagues, Ekert's 1991 entanglement-based cryptography, Bennett and colleagues' 1993 teleportation protocol and Bouwmeester and colleagues' experimental realization, Hensen and colleagues' 2015 loophole-free Bell test, and the Horodecki family's entanglement review. The synthesis is organized around three themes: foundations, in which entanglement was shown to be experimentally decisive against local realism; protocols, in which entanglement became a resource for cryptography and teleportation; and closure, in which loophole-free tests converted a foundational dispute into engineering specification. It is concluded that entanglement's century is the clearest case in physics of a philosophical problem becoming a technology.

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a review of Quantum computation and quantum information. A mathematical perspective. by Landsberg, J. M.

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•Jan 1, 2024•0 citations
Quantum entanglement, the phenomenon whereby two or more quantum systems exhibit correlations that cannot be explained by any local hidden-variable theory, has evolved from a philosophical curiosity debated by Einstein, Podolsky, and Rosen in 1935 into the foundational resource of an emerging technological revolution. This narrative review traces the conceptual development of entanglement from the EPR paradox through Bell's theorem, the experimental violation of Bell inequalities, and the emergence of quantum information science as a unifying framework. Drawing on the original EPR argument, Bell's seminal 1964 theorem, the experimental work of Aspect et al., the quantum information synthesis of Nielsen and Chuang, the review of entanglement theory by Horodecki et al., and the foundational perspectives of Brukner and Zeilinger, the review covers the mathematical characterization of entanglement, its role in quantum computation and quantum cryptography, and the ongoing debate about the interpretation of quantum mechanics that entanglement continues to fuel.
Abstract To understand the emergence of macroscopic irreversibility from microscopic reversible dynamics, the idea of coarse-graining plays a fundamental role. In this work, we develop a unified inferential framework for macroscopic states , that is, coarse descriptions of microscopic quantum systems that can be inferred from macroscopic measurements. Building on quantum statistical sufficiency and Bayesian retrodiction, we characterize macroscopic states through equivalent abstract (algebraic) and explicit (constructive) formulations. Central to our approach is the notion of observational deficit , which quantifies the degree of irretrodictability of a state relative to a prior and a measurement. This leads to a general definition of macroscopic entropy as an inferentially grounded measure of asymmetry under Bayesian inversion. We formalize this structure in terms of inferential reference frames , defined by the pair consisting of a prior and a measurement, which encapsulate the observer’s informational perspective. We then formulate a resource theory of microscopicity, treating macroscopic states as free states and introducing a hierarchy of microscopicity-non-generating operations . This theory unifies and extends existing resource theories of coherence, athermality, and asymmetry. Finally, we apply the framework to study quantum correlations under observational constraints, introducing the notion of observational discord and deriving necessary and sufficient conditions for their vanishing in terms of information recoverability. This work is dedicated to Professor Ryszard Horodecki on the occasion of his 80th birthday, in deep admiration and gratitude for his pioneering contributions to quantum information theory.
Entanglement is quantum mechanics' deepest departure from classical intuition: correlated states that no local description can reproduce. This article presents a narrative review of the field's canonical line: the 1935 Einstein-Podolsky-Rosen paradox and Schrodinger's naming of the phenomenon, Bohm's 1951 reformulation, Bell's 1964 theorem, the CHSH inequality, the pioneering experiments of Freedman and Clauser and of Aspect and colleagues, Ekert's 1991 entanglement-based cryptography, Bennett and colleagues' 1993 teleportation protocol and Bouwmeester and colleagues' experimental realization, Hensen and colleagues' 2015 loophole-free Bell test, and the Horodecki family's entanglement review. The synthesis is organized around three themes: foundations, in which entanglement was shown to be experimentally decisive against local realism; protocols, in which entanglement became a resource for cryptography and teleportation; and closure, in which loophole-free tests converted a foundational dispute into engineering specification. It is concluded that entanglement's century is the clearest case in physics of a philosophical problem becoming a technology.