Journal article
Categorical equivalence between orthomodular dynamic algebras and complete orthomodular lattices
- Abstract:
-
This paper provides a categorical equivalence between two types of quantum structures. One is a complete orthomodular lattice, which is used for reasoning about testable properties of a quantum system. The other is an orthomodular dynamic algebra, which is a quantale used for reasoning about quantum actions. The result extends to more restrictive lattices than orthomodular lattices, and includes Hilbert lattices of closed subspaces of a Hilbert space. These other lattice structures have conne...
Expand abstract
- Publication status:
- Published
- Peer review status:
- Peer reviewed
Actions
Access Document
- Files:
-
-
(Accepted manuscript, pdf, 303.3KB)
-
(Accepted manuscript, pdf, 303.3KB)
-
- Publisher copy:
- 10.1007/s10773-017-3433-4
Why is the content I wish to access not available via ORA?
Bibliographic data (the information relating to research outputs) and full-text items (e.g. articles, theses, reports, etc.) arrive in ORA from several different sources. Unfortunately we are not able to make available the full-text for every research output.
Please contact the ORA team (
) if you have queries regarding unavailable content OR if you are aware of a full-text copy we can make available.
) if you have queries regarding unavailable content OR if you are aware of a full-text copy we can make available.
Content may be unavailable for the following four reasons
-
Version unsuitable
-
We have not obtained a suitable full-text for a given research output. See this page for more information.
-
Recently completed
-
Sometimes content is held in ORA but is unavailable for a fixed period of time to comply with the policies and wishes of rights holders.
-
Permissions
-
All content made available in ORA should comply with relevant rights, such as copyright. See this page for more information.
-
Clearance
-
Some thesis volumes scanned as part of the digitisation scheme funded by Dr Leonard Polonsky are currently unavailable due to sensitive material or uncleared third-party copyright content. We are attempting to contact authors whose theses are affected.
Alternative access to the full-text
You may be able to access the full-text directly from the publisher's website using the 'Publisher Copy' link in the 'Links & Downloads' box from a research output's ORA record page. This method may require an institutional or individual subscription to the journal/resource.
Authors
Funding
+ US Air Force Office for Scientific Research
More from this funder
Funding agency for:
Kishida, K
Grant:
FA9550-12-1-0136
Bibliographic Details
- Publisher:
- Springer Publisher's website
- Journal:
- International Journal of Theoretical Physics Journal website
- Volume:
- 56
- Issue:
- 12
- Pages:
- 4060–4072
- Publication date:
- 2017-07-12
- Acceptance date:
- 2017-05-25
- DOI:
- EISSN:
-
1572-9575
- ISSN:
-
0020-7748
- Source identifiers:
-
698537
Item Description
- Keywords:
- Pubs id:
-
pubs:698537
- UUID:
-
uuid:7c9e9d7f-a150-4bda-9a45-bd5f3643334f
- Local pid:
- pubs:698537
- Deposit date:
- 2017-06-06
Terms of use
- Copyright holder:
- Springer Science+Business Media
- Copyright date:
- 2017
- Notes:
- © Springer Science+Business Media New York 2017. This is the accepted manuscript version of the article. The final version is available online from Springer at: https://doi.org/10.1007/s10773-017-3433-4
If you are the owner of this record, you can report an update to it here: Report update to this record