Alternative form of nonabelian. [Not abelian.]
Used in a Sentence
non-abelian
Definition, parts of speech, synonyms, and sentence examples for non-abelian.
Editorial note
Finally, there is a unique system admitting two types of non-Abelian anyons, Majorana fermions (Ising anyons) and non-Abelian vortex anyons.
Examples17
Definitions1
Parts of speech1
Quick take
Alternative form of nonabelian. [Not abelian.]
Meaning at a glance
The clearest senses and uses of non-abelian gathered in one view.
Definitions
Core meanings and parts of speech for non-abelian.
adjective
Alternative form of nonabelian. [Not abelian.]
Example sentences
Finally, there is a unique system admitting two types of non-Abelian anyons, Majorana fermions (Ising anyons) and non-Abelian vortex anyons.
A non-Abelian group is a structure in which three of these axioms hold, and the fourth does not.
Non-Abelian anyons, whose exchanges are described by a non-Abelian group acting on a set of wave functions, are attracting a great attention because of possible applications to topological quantum computations.
Non-Abelian braiding statistics are so far the only known robust architecture for QC, so this will be interesting to watch.
Often + is used for the binary operation in abelian groups and · in non-abelian ones.
Why, for example, does anyone care how many non-abelian groups of order 18 there are?
While structures where specific subsets of axioms hold (non-Abelian groups, semigroups, monoids, etc.) are useful.
It even mostly extends to non-abelian groups (representation theory), though some nice properties are lost.
For non-abelian Yang-Mills Theory (t'Hooft Veltman had published their landmark paper in 1972) this is more or less infeasible beyond first order.
Why could a universe not be more easily understood (compressed) within the minds of it's inhabitants with systems which are non-abelian groups?
This love led him to his most profound and original contribution to physics, the discovery with Robert Mills of non-Abelian gauge fields.
I recognise some of the words in the abstract, like 'non-Abelian', but that's it.
Quote examples
I'm not sure "non-Abelian braiding statistics" is the only known robust architecture for QC.
> "We've shown that bilayer graphene almost certainly hosts particles that are non-Abelian anyons," concludes Ronen.
Yeah, I hit this right away: > have theoretically shown that anyons tunneling in a double-layer system can transition to an exotic non-Abelian state that contains "Fibonacci" anyons that are powerful enough for universal TQC.
I do suspect that non-abelian groups is a case where "¬(A ↦ B) ⟹ ¬(B ↦ A)" is false, and would be a contadiction to my counter claim if "¬(A ↦ B) ⟹ ¬(B ↦ A)" was my counter-claim.
Proper noun examples
Non-abelian just in general means non-commutative, which just means that it's different if you do things in a different order.
Frequently asked questions
Short answers drawn from the clearest meanings and examples for this word.
How do you use non-abelian in a sentence?
Finally, there is a unique system admitting two types of non-Abelian anyons, Majorana fermions (Ising anyons) and non-Abelian vortex anyons.
What does non-abelian mean?
Alternative form of nonabelian. [Not abelian.]
What part of speech is non-abelian?
non-abelian is commonly used as adjective.