IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2013y2013i1n520436.html
   My bibliography  Save this article

A Note on Sequential Product of Quantum Effects

Author

Listed:
  • Chunyuan Deng

Abstract

The quantum effects for a physical system can be described by the set ℰ(ℋ) of positive operators on a complex Hilbert space ℋ that are bounded above by the identity operator I. For A, B ∈ ℰ(ℋ), let A∘B = A1/2BA1/2 be the sequential product and let A*B = (AB + BA)/2 be the Jordan product of A, B ∈ ℰ(ℋ). The main purpose of this note is to study some of the algebraic properties of effects. Many of our results show that algebraic conditions on A∘B and A*B imply that A and B have 3 × 3 diagonal operator matrix forms with Iℛ(A)¯∩ℛ(B)¯ as an orthogonal projection on closed subspace ℛ(A)¯∩ℛ(B)¯ being the common part of A and B. Moreover, some generalizations of results known in the literature and a number of new results for bounded operators are derived.

Suggested Citation

Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:520436
DOI: 10.1155/2013/520436
as

Download full text from publisher

File URL: https://doi.org/10.1155/2013/520436
Download Restriction: no
File URL: https://libkey.io/10.1155/2013/520436?utm_source=ideas
LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
---><---

More about this item

Statistics

Access and download statistics

Corrections

All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:520436. See general information about how to correct material in RePEc.

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

We have no bibliographic references for this item. You can help adding them by using this form .

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1155/4058 .

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.