Entanglement beyond subsystems

@article{Viola2004EntanglementBS,
  title={Entanglement beyond subsystems},
  author={Lorenza Viola and Howard Barnum and Emanuel Knill and Gerardo Guzman Ortiz and Rolando D. Somma},
  journal={arXiv: Quantum Physics},
  year={2004}
}
We present a notion of generalized entanglement which goes beyond the conventional definition based on quantum subsystems. This is accomplished by directly defining entanglement as a property of quantum states relative to a distinguished set of observables singled out by Physics. While recovering standard entanglement as a special case, our notion allows for substantially broader generality and flexibility, being applicable, in particular, to situations where existing tools are not directly… 
Philosophy of Quantum Information and Entanglement: Entanglement and subsystems, entanglement beyond subsystems, and all that
TLDR
It is explained how the GE approach both shares strong points of contact with abstract operational quantum theories and calls for an observer-dependent redefinition of concepts like locality, completeness, and reality in quantum theory.
Quantum Degrees of Freedom, Quantum Integrability and Entanglment Generators
Dynamical algebra notion of quantum degrees of freedom is utilized to study the relation between quantum dynamical integrability and generalized entanglement. It is argued that a quantum dynamical
Ja n 20 07 Entanglement and Subsystems , Entanglement beyond Subsystems , and All That ∗
Entanglement plays a pervasive role nowadays throughout qu antum information science, and at the same time provides a bridging notion between quantum information sci en e and fields as diverse as
Quantum state reduction: Generalized bipartitions from algebras of observables
Reduced density matrices are a powerful tool in the analysis of entanglement structure, approximate or coarse-grained dynamics, decoherence, and the emergence of classicality. It is straightforward
Relations Between Different Notions of Degrees of Freedom of a Quantum System and Its Classical Model
There are at least three different notions of degrees of freedom (DF) that are important in comparison of quantum and classical dynamical systems. One is related to the type of dynamical equations
Dynamic symmetry approach to entanglement
In this lectures I explain a connection between geometric invariant theory and entanglement, and give a number of examples how this approach works.
Rethinking Renormalization for Quantum Phase Transitions
This is a conceptual paper that re-examines the principles underlying the application of renormalization theory to quantum phase transitions in the light of quantum information theory. We start by

References

SHOWING 1-10 OF 30 REFERENCES
Entanglement as an Observer-Dependent Concept: An Application to Quantum Phase Transitions
This paper addresses the following main question: Do we have a theoretical understanding of entanglement applicable to a full variety of physical settings? It is clear that not only the assumption of
Nature and measure of entanglement in quantum phase transitions (21 pages)
Characterizing and quantifying quantum correlations in states of many-particle systems is at the core of a full understanding of phase transitions in matter. In this work, we continue our
Lie Algebras in Particle Physics
Howard Georgi is the co-inventor (with Sheldon Glashow) of the SU(5) theory. This extensively revised and updated edition of his classic text makes the theory of Lie groups accessible to graduate
Generalized Coherent States and Their Applications
I Generalized Coherent States for the Simplest Lie Groups.- 1. Standard System of Coherent States Related to the Heisenberg-Weyl Group: One Degree of Freedom.- 1.1 The Heisenberg-Weyl Group and Its
Introduction to Lie Algebras and Representation Theory
Preface.- Basic Concepts.- Semisimple Lie Algebras.- Root Systems.- Isomorphism and Conjugacy Theorems.- Existence Theorem.- Representation Theory.- Chevalley Algebras and Groups.- References.-
Lie Groups, Lie Algebras, and Representations
An important concept in physics is that of symmetry, whether it be rotational symmetry for many physical systems or Lorentz symmetry in relativistic systems. In many cases, the group of symmetries of
Phys. Rev. Lett
  • Phys. Rev. Lett
  • 2003
Phys. Rev. A
  • Phys. Rev. A
  • 2003
Phys. Rev. A
  • Phys. Rev. A
  • 1996
...
...