scholarly journals Temporal teleportation with pseudo-density operators: How dynamics emerges from temporal entanglement

2021 ◽  
Vol 7 (38) ◽  
Author(s):  
Chiara Marletto ◽  
Vlatko Vedral ◽  
Salvatore Virzì ◽  
Alessio Avella ◽  
Fabrizio Piacentini ◽  
...  
Keyword(s):  
Density Operators

On Lower and Semi-Lower Density Operators

2007 ◽  
Vol 14 (4) ◽  
pp. 661-671
Author(s):  
Jacek Hejduk ◽  
Anna Loranty
Keyword(s):  
Density Operator ◽  
Baire Property ◽  
Density Operators ◽  
Dense Sets ◽  
Meager Sets ◽  
Algebras Of Sets

Abstract This paper contains some results connected with topologies generated by lower and semi-lower density operators. We show that in some measurable spaces (𝑋, 𝑆, 𝐽) there exists a semi-lower density operator which does not generate a topology. We investigate some properties of nowhere dense sets, meager sets and σ-algebras of sets having the Baire property, associated with the topology generated by a semi-lower density operator.

Infinitely entangled states

2003 ◽  
Vol 3 (4) ◽  
pp. 281-306
Author(s):  
M. Keyl ◽  
D. Schlingemann ◽  
R.F. Werner
Keyword(s):  
Hilbert Spaces ◽  
Degrees Of Freedom ◽  
Entangled States ◽  
Entangled State ◽  
Bounded Operators ◽  
Infinite Dimensional ◽  
Infinite Dimensional Hilbert Space ◽  
Density Operators ◽  
Fundamental Paper ◽  
Extended Notion

For states in infinite dimensional Hilbert spaces entanglement quantities like the entanglement of distillation can become infinite. This leads naturally to the question, whether one system in such an infinitely entangled state can serve as a resource for tasks like the teleportation of arbitrarily many qubits. We show that appropriate states cannot be obtained by density operators in an infinite dimensional Hilbert space. However, using techniques for the description of infinitely many degrees of freedom from field theory and statistical mechanics, such states can nevertheless be constructed rigorously. We explore two related possibilities, namely an extended notion of algebras of observables, and the use of singular states on the algebra of bounded operators. As applications we construct the essentially unique infinite analogue of maximally entangled states, and the singular state used heuristically in the fundamental paper of Einstein, Rosen and Podolsky.

scholarly journals Interacting Subsystems and Their Molecular Ensembles

2020 ◽  
pp. 25-30 ◽  
Author(s):  
Roman F. Nalewajski
Keyword(s):  
Molecular System ◽  
Partition Problem ◽  
Mixed States ◽  
Density Matrices ◽  
Information Theoretic ◽  
Density Operators ◽  
Division Rule ◽  
Pure Quantum State ◽  
Stockholder Atoms ◽  
Ensemble Representations

The molecular density-partition problem is reexamined and the information-theoretic (IT) justification of the stockholder division rule is summarized. The ensemble representations of the promolecular and molecular mixed states of constituent atoms are identified and the electron probabilities in the isoelectronic stockholder atoms-in-molecules (AIM) are used to define the molecular-orbital ensembles for the bonded Hirshfeld atoms. In the pure quantum state of the whole molecular system its interacting (entangled) fragments are described by the subsystem density operators, with the subsystem physical properties being generated by the partial traces involving the fragment density matrices.

Quantum operations fixing a convex cone of density operators on ${{\mathcal T}}(H)$

2014 ◽  
Vol 47 (17) ◽  
pp. 175302
Author(s):  
Zhaofang Bai ◽  
Shuanping Du
Keyword(s):  
Convex Cone ◽  
Quantum Operations ◽  
Density Operators

The Method of Reduced Density Operators

2015 ◽  
pp. 29-69
Author(s):  
Michael Bonitz
Keyword(s):  
Density Operators ◽  
Reduced Density

Dynamical Mappings of Density Operators in Quantum Mechanics

1961 ◽  
Vol 2 (6) ◽  
pp. 772-775 ◽  
Author(s):  
Thomas F. Jordan ◽  
E. C. G. Sudarshan
Keyword(s):  
Quantum Mechanics ◽  
Density Operators
Sign in / Sign up

Export Citation Format

Share Document