The talk will begin with a survey of the quantum description of polarized light and the concept of wave-particle duality. Although it was Einstein who had first introduced the idea of light as a stream of particle-like photons, he remained unhappy about the probabilistic nature of the predictions of quantum mechanics. He believed that these probabilities only appeared because the present quantum theory was incomplete and needed to be supplemented by some yet-to-be-determined ‘hidden variables’. After a series of debates with Niels Bohr, Einstein and two young colleagues came up with what is now called the ‘Einstein-Podolsky-Rosen’ or EPR experiment. This seems to show that a quantum mechanical description of their EPR experiment requires ‘spooky’ faster-than-light signalling between the two separated final states. In terms of the debate between Einstein and Bohr, the result seemed to be a draw and that there was an unreconcilable philosophical disagreement between their two explanations. However, in 1964, 30 years later, the Irish physicist John Bell came up with an inequality for the results of the EPR experiment arising from ‘common-sense’ pre-determined conditions - such as could be provided by knowledge of Einstein’s hidden variables. However, the dramatic results of an actual EPR experiment showed a violation of Bell’s inequality and agreed instead with predictions of quantum mechanics. This talk shows how such a fundamental and powerful result can be appreciated without the use of any advanced mathematics.
The second half of the talk will briefly discuss Feynman’s ideas that he gave in a talk at MIT 40 years ago about the possibility of building a new type of computer. In his talk he showed how a computer made up of intrinsically quantum mechanical components could be used to simulate large quantum systems that could not be simulated on a classical computer. Remarkably, Feynman stated explicitly that such a computer was ‘not a Turing machine, but a machine of a different kind’. There has been considerable progress towards actually building a quantum computer and much theoretical work on the new field of quantum information science. In the EPR experiment, the final two-particle quantum state is said to be ‘entangled’ and it is this entanglement that is responsible for the spooky faster-than-light correlations. The new generation of quantum information theorists are now boldly making use of quantum entanglement as a foundational element of their research.