Quick Navigation
Topics
Open Quantum Systems Decoherence
Quantum Simulation
Lieb-Robinson Bound and Adiabatic Evolution
arXiv
Authors: M. M. R. Koochakie, S. Alipour, A. T. Rezakhani
Year
2013
Paper ID
33706
Status
Preprint
Abstract Read
~2 min
Abstract Words
85
Citations
N/A
Abstract
We extend the concept of locality to enclose a situation where a tensor-product structure for the Hilbert space is not \textit {a priori} assumed; rather, this locality is related to a given matrix representation of the Hamiltonian associated to the system. As a result, we formulate a Lieb-Robinson-like bound for Hamiltonians local in a given basis. In particular, we employ this bound to obtain alternatively the adiabatic condition, where adiabaticity is naturally ensued from a locality in energy basis and a relatively small Lieb-Robinson bound.
Why This Paper Matters
- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
- It adds a 2013 reference point for readers tracking recent quantum research.
- We extend the concept of locality to enclose a situation where a tensor-product structure for the Hilbert space is not textit a priori assumed; rather, this locality is related...
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.