BKS Theorem and Bell's Theorem in 16 Dimensions

Harvey, Clifford Scott; Chryssanthacopoulos, James Peter

Student Work

BKS Theorem and Bell's Theorem in 16 Dimensions

Public

This project gives two new proofs of the Bell-Kochen-Specker (BKS) Theorem for a system of four qubits: A proof based on 11 observables for a four-qubit system and a second proof based on 80 states and 265 orthogonal bases in a 16-dimensional state space derived from the previous observables. These proofs can be converted into proofs of Bell's Theorem by introducing four more qubits that are entangled with the previous qubits in a suitable fashion.

This report represents the work of one or more WPI undergraduate students submitted to the faculty as evidence of completion of a degree requirement. WPI routinely publishes these reports on its website without editorial or peer review.

Creator

Publisher