Stabilizer notation for Spekkens' toy theory

Details Stabilizer notation for Spekkens' toy theory Stabilizer notation for Spekkens' toy theory

2011-03-25

arxiv.org/abs/1103.5037v2

Found. Phys. 42, 688 (2012)

Physics

Quantum Physics

7+4 pages, 5 tables. v2: Clarifications added and typos fixed in response to referee comments

Scientific paper

10.1007/s10701-012-9639-7

Spekkens has introduced a toy theory [Phys. Rev. A, 75, 032110 (2007)] in order to argue for an epistemic view of quantum states. I describe a notation for the theory (excluding certain joint measurements) which makes its similarities and differences with the quantum mechanics of stabilizer states clear. Given an application of the qubit stabilizer formalism, it is often entirely straightforward to construct an analogous application of the notation to the toy theory. This assists calculations within the toy theory, for example of the number of possible states and transformations, and enables superpositions to be defined for composite systems.

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