Physics – Quantum Physics
Scientific paper
2007-06-30
J. Math. Phys. 49, 082103 (2008)
Physics
Quantum Physics
16 pages, 9 figures
Scientific paper
10.1063/1.2966133
We investigate the strengths and limitations of the Spekkens toy model, which is a local hidden variable model that replicates many important properties of quantum dynamics. First, we present a set of five axioms that fully encapsulate Spekkens' toy model. We then test whether these axioms can be extended to capture more quantum phenomena, by allowing operations on epistemic as well as ontic states. We discover that the resulting group of operations is isomorphic to the projective extended Clifford Group for two qubits. This larger group of operations results in a physically unreasonable model; consequently, we claim that a relaxed definition of valid operations in Spekkens' toy model cannot produce an equivalence with the Clifford Group for two qubits. However, the new operations do serve as tests for correlation in a two toy bit model, analogous to the well known Horodecki criterion for the separability of quantum states.
Roy Aidan
Sanders Barry C.
Skotiniotis Michael
No associations
LandOfFree
On the epistemic view of quantum states does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On the epistemic view of quantum states, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the epistemic view of quantum states will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-144106