Entanglement and topology#

Bell/EPR spin correlations and the CHSH inequality, the Aharonov-Bohm effect (a purely topological consequence of the vector potential), Bloch-sphere qubit dynamics (Larmor precession and an animated Rabi oscillation), the dynamical generation of entanglement between two qubits coupled by an Ising interaction, and why no fixed unitary can clone an arbitrary qubit state (the no-cloning theorem).

The Aharonov-Bohm effect

The Aharonov-Bohm effect

Bloch-sphere spin dynamics

Bloch-sphere spin dynamics

Bell correlations and the CHSH inequality

Bell correlations and the CHSH inequality

Dynamical entanglement generation

Dynamical entanglement generation

The no-cloning theorem: why a fixed unitary can copy a basis, not a state

The no-cloning theorem: why a fixed unitary can copy a basis, not a state