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CRC Press eBooks

Quantum Entanglement Probability Amplitudes for n = N = 3, 6

F.J. Duarte

Published Jan 15, 2024• 0 citations
Publisher

Abstract

The generalized probability amplitude, or state, for quantum entanglement, for n = N = 3, 6, is derived in a clear and transparent approach from the Dirac–Feynman N -slit superposition probability amplitude. In other words, from probability amplitudes in quantum interference to probability amplitudes in quantum entanglement, via the | X 〉= | a 〉 1 , | b 〉 2 , | c 〉 3 …| g 〉 n Dirac identity, and quaternions.

DOI
10.1201/9781003398707-17

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Quantum mechanics runs on probability amplitudes. Probability amplitudes must accurately describe the physics prior to calculating the quantum probability. Symbolical probability amplitudes are mathematically represented by complex wave functions. Many physicists in the field don’t even mention the words probability amplitude and prefer to refer to wave function, or state, instead. When they do that they miss out on the subtleties of the physics at hand. In this brief chapter we emphasize probability amplitudes à la Dirac since that is the way Feynman and Ward preferred to describe quantum mechanics. The Dirac notation is also ideally suited to describe quantum interference and quantum entanglement.