Mean king’s problem with mutually unbiased bases and orthogonal Latin squares

DOI10.1103/PhysRevA.71.052331zbMath1227.81188arXivquant-ph/0502092OpenAlexW2032856637MaRDI QIDQ3102397

Akihisa Hayashi, Minoru Horibe, Takaaki Hashimoto

Publication date: 4 December 2011

Published in: Physical Review A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0502092

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15) General mathematical topics and methods in quantum theory (81Q99)

Related Items (12)

Galois quantum systems, irreducible polynomials and Riemann surfaces ⋮ Quantum combinatorial designs and k-uniform states ⋮ Mutually unbiased maximally entangled bases in \(C^d\otimes C^d\) with \(d\) an odd prime power ⋮ Construction of the mutually orthogonal extraordinary supersquares ⋮ Entanglement in mutually unbiased bases ⋮ The correspondence between mutually unbiased bases and mutually orthogonal extraordinary supersquares ⋮ Spectra of phase point operators in odd prime dimensions and the extended Clifford group ⋮ On mutually orthogonal extraordinary supersquares ⋮ Bases for spin systems and qudits from angular momentum theory ⋮ Discrete phase-space structure of \(n\)-qubit mutually unbiased bases ⋮ Quantum information: a brief overview and some mathematical aspects ⋮ Mutually unbiased maximally entangled bases from difference matrices

Cites Work

• Solution to the king’s problem with observables that are not mutually complementary
• Discrete phase space based on finite fields

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