2023/05/31 by Matt Wilson, Wilson, Matt, Nick Ormrod +1 · 2 citations
Physics and Astronomy · Computer Science · #Quantum Mechanics and Applications #Advanced Thermodynamics and Statistical Mechanics #Quantum Information and Cryptography
paper · pdf · doi:10.48550/arxiv.2305.20063
We reconstruct the transformations of quantum theory using a physically motivated postulate. This postulate states that transformations should be locally applicable, and recovers the linear isometries from pure quantum theory, as well as the completely positive, trace-preserving maps from mixed quantum theory. Notably, in the pure case, linearity with respect to the superposition rule and reversibility are both derived from this locality principle.