2017/10/19 by Benjamin Musto, Musto, Benjamin
Biochemistry, Genetics and Molecular Biology · Engineering · Physics and Astronomy · #FOS: Physical sciences #Low-power high-performance VLSI design #Protein Degradation and Inhibitors #Quantum Physics (quant-ph) #Radio Frequency Integrated Circuit Design #quant-ph
paper · pdf · doi:10.48550/arxiv.1710.07046
arxiv created 2017/10/19 · openalex publication_date 2017/10/19 · arxiv updated 2017/10/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that maximal families of mutually unbiased bases are characterized in all dimensions by partitioned unitary error bases, up to a choice of a family of Hadamards. Furthermore, we give a new construction of partitioned unitary error bases, and thus maximal families of mutually unbiased bases, from a finite field, which is simpler and more direct than previous proposals. We introduce new tensor diagrammatic characterizations of maximal families of mutually unbiased bases, partitioned unitary error bases, and finite fields as algebraic structures defined over Hilbert spaces.