Skip to main content
CenXiv.org
This website is in trial operation, support us!
We gratefully acknowledge support from all contributors.
Contribute
Donate
cenxiv logo > hep-th > arXiv:1303.0688

Help | Advanced Search

High Energy Physics - Theory

arXiv:1303.0688 (hep-th)
[Submitted on 4 Mar 2013 ]

Title: Entanglement and Particle Identity: A Unifying Approach

Title: 纠缠与粒子同一性:一种统一的方法

Authors:A. P. Balachandran, T. R. Govindarajan, Amilcar R. de Queiroz, A. F. Reyes-Lega
Abstract: It has been known for some years that entanglement entropy obtained from partial trace does not provide the correct entanglement measure when applied to systems of identical particles. Several criteria have been proposed that have the drawback of being different according to whether one is dealing with fermions, bosons or distinguishable particles. In this Letter, we give a precise and mathematically natural answer to this problem. Our approach is based on the use of the more general idea of restriction of states to subalgebras. It leads to a novel approach to entanglement, suitable to be used in general quantum systems and specially in systems of identical particles. This settles some recent controversy regarding entanglement for identical particles. The prospects for applications of our criteria are wide-ranging, from spin chains in condensed matter to entropy of black holes.
Abstract: 多年来人们已经知道,通过对部分迹求值得到的纠缠熵在应用于相同粒子系统时并不能提供正确的纠缠度量。 一些标准已经被提出,但这些标准的缺点在于它们根据处理的是费米子、玻色子还是可区分粒子而有所不同。 在本信中,我们对该问题给出了一个精确且数学上自然的答案。 我们的方法基于更一般的状态限制到子代数的思想。 这种方法导致了一种新的纠缠处理方式,适用于一般的量子系统,特别是相同粒子系统。 这解决了关于相同粒子纠缠的一些近期争议。 我们标准的应用前景广泛,从凝聚态物质中的自旋链到黑洞的熵。
Comments: Published version. Based on arxiv 1205.2882
Subjects: High Energy Physics - Theory (hep-th) ; Mathematical Physics (math-ph); Quantum Physics (quant-ph)
Cite as: arXiv:1303.0688 [hep-th]
  (or arXiv:1303.0688v1 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1303.0688
arXiv-issued DOI via DataCite
Journal reference: Phys. Rev. Lett. 110, 080503 (2013)
Related DOI: https://doi.org/10.1103/PhysRevLett.110.080503
DOI(s) linking to related resources

Submission history

From: Andrés Fernando Reyes-Lega [view email]
[v1] Mon, 4 Mar 2013 12:50:50 UTC (13 KB)
Full-text links:

Access Paper:

    View a PDF of the paper titled
  • View Chinese PDF
  • View PDF
  • TeX Source
view license
Current browse context:
hep-th
< prev   |   next >
new | recent | 2013-03
Change to browse by:
math
math-ph
math.MP
quant-ph

References & Citations

  • NASA ADS
  • Google Scholar
  • Semantic Scholar
a export BibTeX citation Loading...

BibTeX formatted citation

×
Data provided by:

Bookmark

BibSonomy logo Reddit logo

Bibliographic and Citation Tools

Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)

Code, Data and Media Associated with this Article

alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)

Demos

Replicate (What is Replicate?)
Hugging Face Spaces (What is Spaces?)
TXYZ.AI (What is TXYZ.AI?)

Recommenders and Search Tools

Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)
IArxiv Recommender (What is IArxiv?)
  • Author
  • Venue
  • Institution
  • Topic

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)
  • About
  • Help
  • contact arXivClick here to contact arXiv Contact
  • subscribe to arXiv mailingsClick here to subscribe Subscribe
  • Copyright
  • Privacy Policy
  • Web Accessibility Assistance
  • arXiv Operational Status
    Get status notifications via email or slack

京ICP备2025123034号