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We formulate physically-motivated axioms for a physical theory which for systems with a finite number of degrees of freedom uniquely lead to Quantum Mechanics as the only nontrivial consistent theory.
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W. Lucke, “Nonlinear Schrodinger dynamics and nonlinear observables,” quant-ph/9505022
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L. Hardy, “Quantum theory from five reasonable axioms,” quant-ph/0101012
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G. W. Mackey, “Mathematical Foundations of Quantum Mechanics,” Dover Books on Physics (2004)
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Later among the works it cites.
P. M. Cohn, “Basic Algebra: Groups, Rings, and Fields,” Springer (2005)
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G. Chiribella, G. M. D’Ariano, P. Perinotti, “Probabilistic theories with purification,” Phys. Rev
2010
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2011
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