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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} |
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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superseded by quant-ph/0207042.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
Full article ▸
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