Reconstructing quantum theory from reasonable postulates. Speaker(s): Lucien Hardy
Abstract: I will give a new set of operational postulates from which quantum theory can be reconstructed. These are (1) Definiteness: There is a onetoone correspondence between the set of pure states and the set of maximal effects such that we get probability one for a pure state followed the corresponding maximal effect. (2) Information locality: If we perform maximal measurements on the components of a composite system then we effect a maximal measurement on the composite. (3) Tomographic locality: The state of a composite system can be determined by making measurements on its components. (4) Compound permutatability: There exists a compound reversible transformation effecting any given permutation of the states in some maximal distinguishable set of states. (5) Preparability: Filters are nonmixing and nonflattening. I will explain these postulates and indicate how some key steps in the reconstruction work. These postulates (see arXiv:1104.2066) are deeper than the postulates I gave ten years ago (in quantph/0101012).
Date: 19/04/2011  2:00 pm
Series: Quantum Gravity Foundations
