Quantum state diffusion, measurement and second quantization

Dong Zhou, Guangri Jin, C. P. Sun

By making the second quantization for the Cini Model of quantum measurement without wave function collapse [M. Cini, Nuovo Cimento, B73 27(1983)], the second order quantum decoherence (SOQD) is studied with a two mode boson system interacting with an idealized apparatus composed by two quantum oscillators. In the classical limit that the apparatus is prepared in a Fock state with a very large quantum number, or in a coherent state with average quantum numbers large enough, the SOQD phenomenon appears similar to the first order case of quantum decoherence.

Timothy P. Spiller

Dan Cristian Marinescu, Gabriela M. Marinescu

Matti Pitkänen

The notion of induced second quantization is introduced as an unavoidable aspect of the induction procedure for metric and spinor connection, which is the key element of TGD. Induced second quantisation provides insights about the QFT limit, about generalizes Feynman diagrammatics, and about TGD counterpart of second quantization of strings which appear in TGD as emergent objects. Zero energy ontology (ZEO) naturally restricts the anti-commutation relations inside causal diamonds defining quantum coherence regions so that the counterintuitive implication that all identical particles of the Universe are in totally symmetric/antisymmetric state is avoided. The relation of statistics to negentropic entanglement and the new view about position measurement provided by ZEO are discussed.

Willi-Hans Steeb

Hanna Makaruk

Quantum computers by their nature are many particle quantum systems. Both the many-particle arrangement and being quantum are necessary for the existence of the entangled states, which are responsible for the parallelism of the quantum computers. Second quantization is a very important approximate method of describing such systems. This lecture will present the general idea of the second quantization, and discuss shortly some of the most important formulations of second quantization.