Quick Navigation
Topics
Quantum Algorithms
A necessary condition for incompatibility of observables in general probabilistic theories
arXiv
Authors: Sergey Filippov, Teiko Heinosaari, Leevi Leppäjärvi
Year
2016
Paper ID
43318
Status
Preprint
Abstract Read
~2 min
Abstract Words
80
Citations
N/A
Abstract
We quantify the intrinsic noise content of an observable in a general probabilistic theory and derive a noise content inequality for incompatible observables. We apply the derived inequality to standard quantum theory, the quantum theory of processes, and polytope state spaces. The noise content for positive operator-valued measures takes a particularly simple form and equals the sum of minimal eigenvalues of all the effects. We illustrate our findings with a number of examples including the introduced notion of reverse observables.
Why This Paper Matters
- It adds a 2016 reference point for readers tracking recent quantum research.
- We quantify the intrinsic noise content of an observable in a general probabilistic theory and derive a noise content inequality for incompatible observables.
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.
Show Paper arXiv Publisher Share
Cite This Paper
Copy URL
Compare
Copy DOI Add to Reading List
Category Correction Request
Category Correction Request
Help us improve classification quality by proposing a better category. Every request is reviewed by an admin.
Sign in to submit a category correction request for this paper.
Log In to SubmitReferences & Citation Signals
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.