منابع مشابه
Geometrical Statistics — Classical and Quantum
This is a review of the ideas behind the Fisher–Rao metric on classical probability distributions, and how they generalize to metrics on density matrices. As is well known, the unique Fisher–Rao metric then becomes a large family of monotone metrics. Finally I focus on the Bures–Uhlmann metric, and discuss a recent result that connects the geometric operator mean to a geodesic billiard on the s...
متن کاملQuantum Statistics Can Suppress Classical Interference
Dirac’s somewhat unfortunate statement about ‘interference between two (or more) photons never occurring‘ has led to fruitful discussions clarifying the understanding of interference from a quantum mechanical point of view. These days textbook presentations elucidate that single photon light fields behave just like classical states of light [1] when used in a Young’s double-slit interference ex...
متن کامل1 Quantum structures in classical statistics
Quantum correlations can be naturally formulated in a classical statistical system of infinitely many degrees of freedom. This realizes the underlying non-commutative structure in a classical statistical setting. We argue that the quantum correlations offer a more robust description with respect to the precise definition of observables.
متن کامل2 Quantum correlations from incomplete classical statistics
We formulate incomplete classical statistics for situations where the knowledge about the probability distribution outside a local region is limited. The information needed to compute expectation values of local observables can be collected in a quantum mechanical state vector, whereas further statistical information about the probability distribution outside the local region becomes irrelevant...
متن کاملClassical and quantum aspects of the extended antifield formalism
Starting from a solution to the classical Batalin-Vilkovisky master equation, an extended solution to an extended master equation is constructed by coupling all the observables, the anomaly candidates and the generators of global symmetries. The construction of the formalism and its applications in the context of the renormalization of generic and potentially anomalous gauge theories are review...
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ژورنال
عنوان ژورنال: Annals of Physics
سال: 2018
ISSN: 0003-4916
DOI: 10.1016/j.aop.2018.03.022