Informational approach to the quantum symmetrization postulate

摘要: A remarkable feature of quantum theory is that particles with identical intrinsic properties must be treated as indistinguishable if the to give valid predictions in all cases. In formalism, indistinguishability expressed via symmetrization postulate (Dirac P 1926 Proc. R. Soc. 112 661, Heisenberg W Z. Phys. 38 411), which restricts a system set symmetric states (‘bosons’) or antisymmetric (‘fermions’). However, physical basis and range validity has not been established. well-known topological derivation implies its depends on dimensionality space move (Laidlaw M DeWitt C 1971 Rev. D 3 1375–8, Leinaas J Myrheim 1977 Il Nuovo Cimento B 37 1–23). Here we show can derived by strictly adhering informational requirement cannot experimentally distinguished from one another are labelled. Our key novel operational postulate, posits amplitude process involving several determined amplitudes possible transitions these when distinguishable. The follows requiring consistency rest formalism. admits no natural variants. particular, possibility generically exhibit anyonic behavior two dimensions excluded.