Quantum cube: A toy model of a qubit

Abstract

Account of a system may depend on available methods of gaining information. We discuss a simple discrete system whose description is affected by a specific model of measurement and transformations. It is shown that the limited means of investigating the system make the epistemic account of the model indistinguishable from a constrained version of a qubit corresponding to the convex hull of eigenstates of Pauli operators, Clifford transformations and Pauli observables.

5 pages, 4 figures; Final version as published in Physics Letters A

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Cited by in corpus (13)

• Why interference phenomena do not capture the essence of quantum theory
• Contextuality and The Single-Qubit Stabilizer Formalism
• de Bruijn-type identity for systems with flux
• Spekkens' toy model in all dimensions and its relationship with stabilizer quantum mechanics
• Classical systems can be contextual too: Analogue of the Mermin-Peres square
• Implications of quantum automata for contextuality
• Efficient contextual ontological model of $n$-qubit stabilizer quantum mechanics
• Quantum circuit dynamics via path integrals: Is there a classical action for discrete-time paths?
• Local model of a qubit in the interferometric setup
• The Non-Disjoint Ontic States of the Grassmann Ontological Model, Transformation Contextuality, and the Single Qubit Stabilizer Subtheory
• Is single-particle interference spooky?
• Conjugate Logic
• Limitations imposed by complementarity