Quick Navigation

Overview Topics Abstract Importance Paper Tools References Reactions Discussion Publication Related

Topics

Open Quantum Systems Decoherence

Structure of states for which each localized dynamics reduces to a localized subdynamics

arXiv
Authors: Iman Sargolzahi, Sayyed Yahya Mirafzali

Year

2016

Paper ID

7780

Status

Preprint

Abstract Read

~2 min

Abstract Words

166

Citations

N/A

Abstract

We consider a bipartite quantum system S (including parties A and B), interacting with an environment E through a localized quantum dynamics mathcal{F}SE . We call a quantum dynamics mathcal{F}SE localized if, e.g., the party A is isolated from the environment and only B interacts with the environment: mathcal{F}SE=idAotimes mathcal{F}BE, where idA is the identity map on the part A and mathcal{F}BE is a completely positive (CP) map on the both B and E. We will show that the reduced dynamics of the system is also localized as mathcal{E}S=idAotimes bar{mathcal{E}}B, where bar{mathcal{E}}B is a CP map on B, if and only if the initial state of the system-environment is a Markov state. We then generalize this result to the two following cases: when both A and B interact with a same environment, and when each party interacts with its local environment.

Why This Paper Matters

  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2016 reference point for readers tracking recent quantum research.
  • We consider a bipartite quantum system S (including parties A and B), interacting with an environment E through a localized quantum dynamics mathcalFSE .

Paper Tools

Become a member to use research tools

Sign in to open papers, visit source links, share, cite, compare, copy DOI links, request category corrections, and build your reading list.

Become a member Sign in
Show Paper arXiv Publisher Share Cite This Paper Copy URL Compare Copy DOI Add to Reading List Category Correction Request

References & Citation Signals

[1] DOI https://doi.org/arXiv:1608.07412 [2] arXiv https://arxiv.org/abs/1608.07412 [3] Publisher https://arxiv.org/abs/1608.07412

Local Citation Graph (Related-Paper Links)

Current Paper #7780 #68456 Analytic Properties of the Jost... #68455 Mediative Fuzzy Logic: From Typ... #68453 Weak wave turbulence as a precu... #68449 Scale-Invariant Open Quantum Sy...

External citation index: OpenAlex citation signal

Community Reactions

Quick sentiment from readers on this paper.

Score: 0
Likes: 0 Dislikes: 0

Sign in to react to this paper.

Discussion & Reviews (Moderated)

Average Rating: 0.0 / 5 (0 ratings)

No written reviews yet.