2002/03/29 by S. Gheorghiu-Svirschevski, Gheorghiu-Svirschevski, S.
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/0203153
Latex2e/RevTex4; 5 pgs; submitted to Phys.Lett.A. Sec.4 removed and superseded by quant-ph/0207042. Sec.3 now includes argument on equivalence of "remote preparation" to "projection postulate", and a well-behaved nonlinear example for illustration
openalex publication_date 2002/03/29 · arxiv created 2002/07/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We argue that usual quantum statics and the dynamical equivalence of mixed quantum states to \it probabilistic mixturessuffice to guarantee a linear evolution law, which necessarily complies with the no-signaling condition. Alternatively, there are nonlinear dynamical extensions that treat mixed states as \it elementary mixtures and evolve \it everypure state linearly and unitarily. But if all \it entangled pure states evolve linearly, then elementary mixtures cannot evolve nonlinearly without challenging quantum locality. Conversely, any such extension that is relativistically well behaved demands a nonlinear evolution [decoherence] of pure entangled states. Wherefrom follows that the linear evolution of entangled pure states provides an unequivocal signature of linear quantum dynamics.