0203153v2

related topics
{state, states, entangled}
{energy, gaussian, time}
{particle, mechanics, theory}
{observables, space, algebra}
{time, decoherence, evolution}
{measurement, state, measurements}
{states, state, optimal}
{theory, mechanics, state}
{time, systems, information}

Quantum nonlocality and quantum dynamics

S. Gheorghiu-Svirschevski

abstract: We argue that usual quantum statics and the dynamical equivalence of mixed quantum states to {\it probabilistic mixtures}suffice 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 every}pure 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.

oai_identifier:
oai:arXiv.org:quant-ph/0203153
categories:
quant-ph
comments:
Latex2e/RevTex4; 5 pgs; submitted to Phys.Lett.A. Sec.4 removed and superseded by quant-ph/0207042.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
arxiv_id:
quant-ph/0203153
created:
2002-03-29
updated:
2002-07-08

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