Fetching the paper…
Reading the bibliography…
The famous combinatorial problem of Euler concerns an arrangement of $36$ officers from six different regiments in a $6 \times 6$ square array.
R.C. Bose, S.S. Shrikhande, On the falsity of Euler’s conjecture about the non-existence of two orthogonal Latin Squares or order 4 t + 2 4t+2 , Proc. Nat. Acad. Sci. 45
1959
Earlier work this paper cites.
R.C. Bose, S.S. Shrikhande, E.T. Parker, Further results on the construction of mutually orthogonal Latin Squares and the falsity of Euler’s conjecture. Can. Jour. Math. 12
1960
Earlier work this paper cites.
I.D. Ivanović, Geometrical description of quantal state determination, J. Phys
1981
Earlier work this paper cites.
D.R. Stinson, A short proof of the nonexistence of a pair of orthogonal Latin squares of order six, J. Combin. Theory
1984
Earlier work this paper cites.
G. Perec, La Vie mode d’emploi
1987
Earlier work this paper cites.
W.K. Wootters, B.D. Fields, Optimal state-determination by mutually unbiased measurements, Ann. Phys
1989
Earlier work this paper cites.
M. F. Franklin, Latin Squares: New Developments in the Theory and Applications, Journal of the Royal Statistical Society Series
1992
Earlier work this paper cites.
A. Higuchi, A. Sudbery, How entangled can two couples get? Phys. Lett
2000
Earlier work this paper cites.
C. J. Colbourn, J. H. Dinitz, Mutually orthogonal Latin squares: a brief survey of constructions, J. Stat. Planning Inference
2001
Earlier work this paper cites.
G. Zauner, Quantendesigns – Grundzüge einer nichtkommutativen Designtheorie. Dissertation, Universität Wien, 1999; English translation, Int. J. Quantum Inf
2004
Earlier work this paper cites.
A. Klappenecker, M. Rötteler, Construction of MUBs, Lect. Notes Comp. Sci
2004
Earlier work this paper cites.
J.M. Renes, R. Blume-Kohout, A.J. Scott, C.M. Caves, Symmetric Informationally Complete Quantum Measurements, J. Math. Phys
2004
Earlier work this paper cites.
A.J. Scott, Multipartite entanglement, quantum-error-correcting codes, and entangling power of quantum evolutions Phys. Rev
2004
Earlier work this paper cites.
L. Clarisse, S. Ghosh, S. Severini, A. Sudbery, Entangling power of permutations, Phys. Rev
2005
Earlier work this paper cites.
D. Klyve, L. Stemkoski, Graeco-Latin Squares and a Mistaken Conjecture of Euler, College Math. J
2006
Earlier work this paper cites.
C.J. Colbourn, J.H. Dinitz (eds.), Handbook of Combinatorial Designs
2007
Earlier work this paper cites.
A. Ambainis, J. Emerson, Quantum t-designs: t-wise independence in the quantum world, preprint arxiv:quant-ph/0701126 and Twenty-Second Annual IEEE Conference on Computational Complexity
2007
Earlier work this paper cites.
A. Borras, A.R. Plastino, J. Batle, C. Zander, M. Casas, A. Plastino, Multi-qubit systems: highly entangled states and entanglement distribution, J. Phys
2007
Earlier work this paper cites.
P. Facchi, G. Florio, G. Parisi, S. Pascazio, Maximally multipartite entangled states, Phys. Rev
2008
Cited alongside, same era.
R. Horodecki, P. Horodecki, M. Horodecki, K. Horodecki, Quantum entanglement, Rev. Mod. Phys
2009
Cited alongside, same era.
T. Durt, B.-G. Englert, I. Bengtsson, K. Życzkowski, On mutually unbiased bases, Int. J. Quant. Inf
2010
Cited alongside, same era.
J. Martin, O. Giraud O, P Braun, D. Braun, T. Bastin, Multiqubit symmetric states with high geometric entanglement, Phys. Rev
2010
Cited alongside, same era.
H. Zhu, Y.S. Teo, B.-G. Englert, Two-qubit symmetric informationally complete positive-operator-valued measures, Phys. Rev
2010
Cited alongside, same era.
B. Musto and J. Vicary, Orthogonality for Quantum Latin Isometry Squares, EPTCS 287
2019
Later among the works it cites.
J. Czartowski, D. Goyeneche, M. Grassl, K. Życzkowski, Isoentangled Mutually Unbiased Bases, Symmetric Quantum Measurements, and Mixed-State Designs, Phys. Rev. Lett
2020
Later among the works it cites.
A. Rico, Absolutely maximally entangled states in small system sizes
2020
Later among the works it cites.
S. A. Rather, S. Aravinda, and A. Lakshminarayan, Creating ensembles of dual unitary and maximally entangling quantum evolutions, Phys. Rev. Lett
2020
Later among the works it cites.
B. Bertini, P. Kos, and T. Prosen, Operator Entanglement in Local Quantum Circuits I: Chaotic Dual-Unitary Circuits, SciPost Phys. 8, 067 (2020)
2020
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2012
Cited alongside, same era.
F. Pastawski, B. Yoshida, D. Harlow, and J. Preskill, Holographic quantum error-correcting codes: Toy models for the bulk/boundary correspondence, J. High Energy Phys
2015
Cited alongside, same era.
D. Goyeneche, D. Alsina, J. I. Latorre, A. Riera, and K. Życzkowski, Absolutely Maximally Entangled states, combinatorial designs and multi-unitary matrices, Phys. Rev
2015
Cited alongside, same era.
B. Musto, J.Vicary, Quantum Latin squares and unitary error bases, Quantum Inf. Comput
2016
Cited alongside, same era.
C.A. Fuchs, M.C. Hoang, B.C. Stacey, The SIC Question: History and State of Play, Axioms
2017
Cited alongside, same era.
M. Grassl, A.J. Scott, Fibonacci-Lucas SIC-POVMs, J. Math. Phys
2017
Cited alongside, same era.
I. Bengtsson, K. Życzkowski, Geometry of Quantum States. An Introduction to Quantum Entanglement
2017
Cited alongside, same era.
J. Paczos, M. Wierzbiński, G. Rajchel-Mieldzioć, A. Burchardt, K. Życzkowski, Genuinely quantum SudoQ and its cardinality, Phys. Rev
2021
Later among the works it cites.
I. Nechita, J. Pillet, SudoQ – a quantum variant of the popular game, Quantum Inf. Comput
2021
Later among the works it cites.
G. Rajchel-Mieldzioć, Quantum mappings and designs
2021
Later among the works it cites.
2021
Later among the works it cites.
2021
Later among the works it cites.
F. Huber, N. Wyderka, Table of AME states
2022
Closest in time.
Also published in Commentationes Arithmeticae
L. Euler, Recherches sur une nouvelle espece de quarres magiques, Verhandelingen uitgegeven door het zeeuwsch Genootschap der Wetenschappen te Vlissingen 9 · 2022
Closest in time.
P. Horodecki, Ł. Rudnicki, K. Życzkowski, Five open problems in quantum information, PRX Quantum
2022
Closest in time.
S. Ahmad Rather, A. Burchardt, W. Bruzda, G. Rajchel-Mieldzioć, A. Lakshminarayan, K. Życzkowski, Thirty-six entangled officers of Euler: Quantum solution to a classically impossible problem, Phys. Rev. Lett
2022
Closest in time.
D. Garisto, Euler’s 243-Year-Old “Impossible” Puzzle Gets a Quantum Solution, Quanta Magazine , (2022)
2022
Closest in time.
P. Ball, A Quantum Solution to an 18th-Century Puzzle, Physics 15
2022
Closest in time.
github.com/matrix-toolbox/AME_4_6 (access: 2022/04/28)
2022
Closest in time.