Journal ArticleDOI
The simplex structure of the classical states of the quantum harmonic oscillator
TLDR
In this paper, it was shown that the convex set of classical states of the quantum harmonic oscillator is a simplex generated as the closed convex hull of the coherent states in the weak topology of the Banach space of trace class operators.Abstract:
It is shown that the convex set of classical states of the quantum harmonic oscillator is a simplex generated as the closed convex hull of the coherent states in the weak topology of the Banach space of trace class operators.read more
Citations
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Journal ArticleDOI
Compound Channels, Transition Expectations, and Liftings
Luigi Accardi,Masanori Ohya +1 more
TL;DR: In this paper, the notion of lifting was introduced as a generalization of the compound state introduced in [21] and [22] and it allows a unified approach to the problems of quantum measurement and signal transmission through quantum channels.
Journal ArticleDOI
Entanglement between Identical Particles Is a Useful and Consistent Resource
Benjamin Morris,Benjamin Yadin,Benjamin Yadin,Matteo Fadel,Matteo Fadel,Tilman Zibold,Philipp Treutlein,Gerardo Adesso +7 more
TL;DR: A new theoretical description of identical particle entanglement frames it as a useful quantum resource in frequently encountered real-world experimental settings and not just a mathematical quirk as mentioned in this paper, and a new theoretical model is proposed to explain the existence of identical particles.
Journal ArticleDOI
Measuring Nonclassicality of Bosonic Field Quantum States via Operator Ordering Sensitivity.
TL;DR: A new distance-based measure for the nonclassicality of the states of a bosonic field, which outperforms the existing such measures in several ways and is analyzed with respect to a recently introduced quantum macroscopicity measure, showing how the two notions are distinct.
Journal ArticleDOI
Operational Quantification of Continuous-Variable Quantum Resources.
TL;DR: It is shown that the robustness constitutes a well-behaved, bona fide resource quantifier in any convex resource theory, contrary to a related negativity-based measure known as the standard robustness.
Journal ArticleDOI
Nonclassical distance in multimode bosonic systems
TL;DR: In this article, the authors revisited the notion of nonclassical distance of states of bosonic quantum systems introduced in Phys. Rev. A 35, 725 (1987) in a general multimode setting.
References
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Book
The logic of quantum mechanics
TL;DR: In this paper, the authors present a mathematical model for quantum probability theory based on the Hilbert-space formulation of quantum mechanics and a quantum logic of the physical system, which they call quantum logic quantum logic.
Journal ArticleDOI
Noncompact simplexes in Banach spaces with the Radon-Nikodým property
Richard D Bourgin,G. A. Edgar +1 more
TL;DR: In this article, the Radon-Nikodým property was used to show that a compact convex subset of a locally convex vector space is a simplex if and only if each point x admits a unique probability measure on the extreme points of C with barycenter x.