Multiplexed Quantum Memory (2D): Repeater Synchronization

Every quantum-repeater segment faces the same bottleneck: both memory nodes must generate an entangled pair at the same time before they can hand it onward. This 2D lane-diagram simulator renders a live memory buffer of M parallel storage modes on each side of a repeater link — each mode independently rolls for heralded entanglement generation on every attempt, holds its fidelity decaying exponentially with coherence time T₂ while it waits, and the instant one mode on each side is simultaneously ready they swap, log a real measured wait time and delivered fidelity, and reset. Tune the mode count, per-attempt success probability and coherence time to see the actual trade-off multiplexing buys a real repeater node: faster synchronization at the cost of some modes waiting longer and decohering more.