REVIEW 1 cited by
On the Monomiality of Nice Error Bases
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
Unitary error bases generalize the Pauli matrices to higher dimensional systems. Two basic constructions of unitary error bases are known: An algebraic construction by Knill, which yields nice error bases, and a combinatorial construction by Werner, which yields shift-and-multiply bases. An open problem posed by Schlingemann and Werner (see http://www.imaph.tu-bs.de/qi/problems/6.html) relates these two constructions and asks whether each nice error basis is equivalent to a shift-and-multiply basis. We solve this problem and show that the answer is negative. However, we also show that it is always possible to find a fairly sparse representation of a nice error basis.
Forward citations
Cited by 1 Pith paper
-
Uncountably many inequivalent maximally entangled measurements for two qutrits
There are uncountably many locally inequivalent maximally entangled measurement bases for two qutrits, constructed from qutrit SICs, including the first wild error bases in dimension 3.
Discussion (0). Continue with ORCID to comment.