Pith. sign in

REVIEW 2 cited by

A concise guide to complex Hadamard matrices

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

arxiv quant-ph/0512154 v2 pith:TYFRP7FT submitted 2005-12-19 quant-ph math.COmath.RA

classification quant-phmath.COmath.RA
keywords complexhadamardmatricesarbitrarybasiccasescatalogueconcise
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

Complex Hadamard matrices, consisting of unimodular entries with arbitrary phases, play an important role in the theory of quantum information. We review basic properties of complex Hadamard matrices and present a catalogue of inequivalent cases known for dimension N=2,...,16. In particular, we explicitly write down some families of complex Hadamard matrices for N=12,14 and 16, which we could not find in the existing literature.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 268 citations worldwide. Full citation record

  1. Three Quantum Latin Squares of Order 6 with Cardinalities 13, 15, and 17

    math.CO 2026-05 unverdicted novelty 6.0 of 10

    Two explicit quantum Latin squares of order 6 are constructed with cardinalities 13 and 17 using direct-sum decompositions and Hadamard pairs.

  2. Spread of Entanglement in Generalized Kicked Ising Chain

    quant-ph 2026-08 conditional novelty 5.0 of 10

    At the dual-unitary point, the q=3 kicked Potts chain has entanglement entropy S(t)=min(2t,N)log 3, and the paper claims no dual-unitary point exists for q>=5.

Pith tools