Spekkens toy model

The Spekkens toy model is a conceptually simple toy hidden-variable theory introduced by Robert Spekkens in 2004, to argue in favour of the epistemic view of quantum mechanics. The model is based on a foundational principle: "If one has maximal knowledge, then for every system, at every time, the amount of knowledge one possesses about the ontic state of the system at that time must equal the amount of knowledge one lacks."[1] This is called the "knowledge balance principle". Within the bounds of this model, many phenomena typically associated with strictly quantum-mechanical effects are present. These include (but are not limited to) entanglement, noncommutativity of measurements, teleportation, interference, the no-cloning and no-broadcasting theorems, and unsharp measurements. The toy model cannot, however, reproduce quantum nonlocality and quantum contextuality, as it is a local and non-contextual hidden-variable theory.

  1. ^ Spekkens, Robert W. (March 19, 2007). "Evidence for the epistemic view of quantum states: A toy theory". Physical Review A. 75 (3): 032110. arXiv:quant-ph/0401052. Bibcode:2007PhRvA..75c2110S. doi:10.1103/PhysRevA.75.032110. S2CID 117284016.