Discrete quantum computation and Lagrange's four-square theorem

DOI10.1007/s11128-019-2528-7OpenAlexW2993330107MaRDI QIDQ2677578

J. Lacalle, L. N. Gatti

Publication date: 5 January 2023

Published in: Quantum Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11128-019-2528-7

zbMATH Keywords

orthogonal latticessystems of \(p\)-orthonormal vectorsdiscrete quantum states\(p\)-orthonormal basis extension theorem

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Quantum computation (81P68) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)

Related Items (1)

Extendable orthogonal sets of integral vectors

Cites Work

• Unnamed Item
• Refining Lagrange's four-square theorem
• Representations by \(x^2_1 + 2x_2^2 + x_3^2 + x_4^2 + x_1 x_3 + x_1 x_4 + x_2 x_4\)
• A result similar to Lagrange's theorem
• Universal sums of generalized octagonal numbers
• A model of discrete quantum computation
• Representations of integers by certain \(2k\)-ary quadratic forms
• An introduction to the geometry of numbers.
• Algorithms for the Solution of Systems of Linear Diophantine Equations
• Elementary Number Theory
• Some variants of Lagrange's four squares theorem

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