Quick Navigation
Topics
Open Quantum Systems Decoherence
Quantum Simulation
Entanglement Theory Quantum Correlations
Quantum State Preparation Representation
Limit formulas for norms of tensor power operators
arXiv
Authors: Guillaume Aubrun, Alexander Müller-Hermes
Year
2024
Paper ID
37457
Status
Preprint
Abstract Read
~2 min
Abstract Words
63
Citations
N/A
Abstract
Given an operator φ:X→ Y between Banach spaces, we consider its tensor powers φotimes k as operators from the k-fold injective tensor product of X to the k-fold projective tensor product of Y. We show that after taking the kth root, the operator norm of φotimes k converges to the 2-dominated norm γ^*2(φ), one of the standard operator ideal norms.
Why This Paper Matters
- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
- It adds a 2024 reference point for readers tracking recent quantum research.
- Given an operator φ:X -> Y between Banach spaces, we consider its tensor powers φ^otimes k as operators from the k-fold injective tensor product of X to the k-fold projective...
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.