States in generalized probabilistic models: an approach based in algebraic geometry

Cesar Massri; Federico Holik; Angelo Plastino

doi:10.1515/ms-2017-0202

States in generalized probabilistic models: an approach based in algebraic geometry

Cesar Massri, Federico Holik, Angelo Plastino

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We present a characterization of states in generalized probabilistic models by appealing to a non-commutative version of geometric probability theory based on algebraic geometry techniques. Our theoretical framework allows for incorporation of invariant states in a natural way.

Original language	English
Pages (from-to)	53-70
Number of pages	18
Journal	Mathematica Slovaca
Volume	69
Issue number	1
DOIs	https://doi.org/10.1515/ms-2017-0202
Publication status	Published - 25 Feb 2019

Keywords

algebraic geometry
invariant states
lattice theory
non-commutative measure theory
quantum probability
quantum states

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title = "States in generalized probabilistic models: an approach based in algebraic geometry",

abstract = "We present a characterization of states in generalized probabilistic models by appealing to a non-commutative version of geometric probability theory based on algebraic geometry techniques. Our theoretical framework allows for incorporation of invariant states in a natural way.",

keywords = "algebraic geometry, invariant states, lattice theory, non-commutative measure theory, quantum probability, quantum states",

author = "Cesar Massri and Federico Holik and Angelo Plastino",

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AU - Holik, Federico

AU - Plastino, Angelo

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N2 - We present a characterization of states in generalized probabilistic models by appealing to a non-commutative version of geometric probability theory based on algebraic geometry techniques. Our theoretical framework allows for incorporation of invariant states in a natural way.

AB - We present a characterization of states in generalized probabilistic models by appealing to a non-commutative version of geometric probability theory based on algebraic geometry techniques. Our theoretical framework allows for incorporation of invariant states in a natural way.

KW - algebraic geometry

KW - invariant states

KW - lattice theory

KW - non-commutative measure theory

KW - quantum probability

KW - quantum states

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DO - 10.1515/ms-2017-0202

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JO - Mathematica Slovaca

JF - Mathematica Slovaca

IS - 1

ER -

States in generalized probabilistic models: an approach based in algebraic geometry

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Keywords

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