scholarly journals Stabilizing entangled states with quasi-local quantum dynamical semigroups

2012 ◽  
Vol 370 (1979) ◽  
pp. 5259-5269 ◽  
Author(s):  
Francesco Ticozzi ◽  
Lorenza Viola
Keyword(s):  
Large Class ◽  
Output Feedback ◽  
Pure State ◽  
Entangled States ◽  
Input State ◽  
Quantum Dynamical ◽  
Quantum Dynamical Semigroups ◽  
Markovian Dynamics ◽  
Local Quantum

We provide a solution to the problem of determining whether a target pure state can be asymptotically prepared using dissipative Markovian dynamics under fixed locality constraints. Besides recovering existing results for a large class of physically relevant entangled states, our approach has the advantage of providing an explicit stabilization test solely based on the input state and constraints of the problem. Connections with the formalism of frustration-free parent Hamiltonians are discussed, as well as control implementations in terms of a switching output-feedback law.

MIXED-STATE ENTANGLEMENT IN THE LIGHT OF PURE-STATE ENTANGLEMENT CONSTRAINED BY SUPERSELECTION RULES

2005 ◽  
Vol 03 (supp01) ◽  
pp. 145-153
Author(s):  
STEPHEN D. BARTLETT ◽  
HOWARD. M. WISEMAN ◽  
ROBERT W. SPEKKENS ◽  
ANDREW C. DOHERTY
Keyword(s):  
Mixed State ◽  
Pure State ◽  
Entangled States ◽  
Quantum Operations ◽  
Local Quantum ◽  
Bound Entanglement ◽  
Quantum Optical

We show that the classification of bi-partite pure entangled states when local quantum operations are restricted, e.g., constrained by local superselection rules, yields a structure that is analogous in many respects to that of mixed-state entanglement, including such exotic phenomena as bound entanglement and activation. This analogy aids in resolving several conceptual puzzles in the study of entanglement under restricted operations. Specifically, we demonstrate that several types of quantum optical states that possess confusing entanglement properties are analogous to bound entangled states. Also, the classification of pure-state entanglement under restricted operations can be much simpler than for mixed state entanglement. For instance, in the case of local Abelian superselection rules all questions concerning distillability can be resolved.

scholarly journals Non-Decomposable Quantum Dynamical Semigroups and Bound Entangled States

2004 ◽  
Vol 11 (04) ◽  
pp. 325-338 ◽  
Author(s):  
Fabio Benatti ◽  
Roberto Floreanini ◽  
Marco Piani
Keyword(s):  
Quantum System ◽  
Open Quantum System ◽  
Entangled States ◽  
Density Matrices ◽  
Open Quantum ◽  
Quantum Dynamical ◽  
Positive Maps ◽  
Quantum Dynamical Semigroups ◽  
Bipartite System

We use open quantum system techniques to construct one-parameter semigroups of positive maps and apply them to study the entanglement properties of a class of 16-dimensional density matrices, representing states of a 4 × 4 bipartite system.

scholarly journals Entropic Fluctuations of Quantum Dynamical Semigroups

2013 ◽  
Vol 154 (1-2) ◽  
pp. 153-187 ◽  
Author(s):  
V. Jakšić ◽  
C.-A. Pillet ◽  
M. Westrich
Keyword(s):  
Quantum Dynamical ◽  
Quantum Dynamical Semigroups

Quantum dynamical semigroups for finite and infinite Bose systems

2007 ◽  
Vol 48 (1) ◽  
pp. 012106 ◽  
Author(s):  
Ph. Blanchard ◽  
M. Hellmich ◽  
P. Ługiewicz ◽  
R. Olkiewicz
Keyword(s):  
Quantum Dynamical ◽  
Quantum Dynamical Semigroups

scholarly journals HOMOGENEITY OF THE PURE STATE SPACE FOR SEPARABLE C*-ALGEBRAS

2001 ◽  
Vol 12 (07) ◽  
pp. 813-845 ◽  
Author(s):  
HAJIME FUTAMURA ◽  
NOBUHIRO KATAOKA ◽  
AKITAKA KISHIMOTO
Keyword(s):  
Automorphism Group ◽  
State Space ◽  
Large Class ◽  
Pure State ◽  
C Algebras ◽  
Inner Automorphisms ◽  
Af Algebras

We prove that the pure state space is homogeneous under the action of the automorphism group (or a certain smaller group of approximately inner automorphisms) for a fairly large class of simple separable nuclear C*-algebras, including the approximately homogeneous C*-algebras and the class of purely infinite C*-algebras which has been recently classified by Kirchberg and Phillips. This extends the known results for UHF algebras and AF algebras by Powers and Bratteli.

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