Invariant Off-Diagonality: SICs as Equicoherent Quantum States
Quantum Physics
2019-06-14 v1
Abstract
Coherence, treated as a resource in quantum information theory, is a basis-dependent quantity. Looking for states that have constant coherence under canonical changes of basis yields highly symmetric structures in state space. For the case of a qubit, we find an easy construction of qubit SICs (Symmetric Informationally Complete POVMs). SICs in dimension 3 and 8 are also shown to be equicoherent.
Keywords
Cite
@article{arxiv.1906.05637,
title = {Invariant Off-Diagonality: SICs as Equicoherent Quantum States},
author = {Blake C. Stacey},
journal= {arXiv preprint arXiv:1906.05637},
year = {2019}
}
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7 pages