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Topological Quantum Computing
Quantum Simulation
Entanglement Theory Quantum Correlations
Anticoherent Subspaces
arXiv
Authors: Rajesh Pereira, Connor Paul-Paddock
Year
2016
Paper ID
42864
Status
Preprint
Abstract Read
~2 min
Abstract Words
106
Citations
N/A
Abstract
We extend the notion of anticoherent spin states to anticoherent subspaces. An anticoherent subspace of order t, is a subspace whose unit vectors are all anticoherent states of order t. We use Klein's description of algebras of polynomials which are invariant under finite subgroups of SU(2) to provide constructions of anticoherent subspaces. Furthermore, we show a connection between the existence of these subspaces and the properties of the higher-rank numerical range for a set of spin observables. We also note that these constructions give us subspaces of spin states all of whose unit vectors have Majorana representations which are spherical designs of order at least t.
Why This Paper Matters
- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
- It adds a 2016 reference point for readers tracking recent quantum research.
- We extend the notion of anticoherent spin states to anticoherent subspaces.
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