The four postulates of quantum mechanics are three
| Autor: | Gabriele Carcassi, Lorenzo Maccone, Christine Angela Aidala |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Quantum Physics
Physics::General Physics Current (mathematics) State postulate Component (thermodynamics) Hilbert space General Physics and Astronomy FOS: Physical sciences 01 natural sciences Set (abstract data type) symbols.namesake Theoretical physics Tensor product quant-ph 0103 physical sciences Mathematical formulation of quantum mechanics symbols 010306 general physics Quantum Physics (quant-ph) General Theoretical Physics Mathematics |
| DOI: | 10.48550/arxiv.2003.11007 |
| Popis: | The tensor product postulate of quantum mechanics states that the Hilbert space of a composite system is the tensor product of the components' Hilbert spaces. All current formalizations of quantum mechanics that do not contain this postulate contain some equivalent postulate or assumption (sometimes hidden). Here we give a natural definition of composite system as a set containing the component systems and show how one can logically derive the tensor product rule from the state postulate and from the measurement postulate. In other words, our paper reduces by one the number of postulates necessary to quantum mechanics. Comment: 4 pages+supplementary information. Final version accepted for publication on Phys. Rev. Lett |
| Databáze: | OpenAIRE |
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