REVIEW 1 cited by
Biunitary constructions in quantum information
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
Signed reviews
read the original abstract
We present an infinite number of construction schemes involving unitary error bases, Hadamard matrices, quantum Latin squares and controlled families, many of which have not previously been described. Our results rely on biunitary connections, algebraic objects which play a central role in the theory of planar algebras. They have an attractive graphical calculus which allows simple correctness proofs for the constructions we present. We apply these techniques to construct a unitary error basis that cannot be built using any previously known method.
Forward citations
Cited by 1 Pith paper
-
Thirty-six officers, artisanally entangled
An explicit two-unitary perfect tensor of order 6 is built from two quadratic phase functions over Z3, and all constructions in this ansatz are classified into exactly two orbits.
Discussion (0). Continue with ORCID to comment.