The hunt for non-Abelian anyons is a quest for a quantum ghost that leaves only one clue: entropy. These particles live in two-dimensional systems at ultralow temperatures. Their exchange doesn't just flip the sign of the wavefunction — it entangles states, creating topological order. This property promises a revolution in quantum computers: information encoded in braided knots is protected from errors by the geometry of space itself. But how can we be sure we're seeing the elusive non-Abelian anyon and not its boring Abelian cousin? The answer lies in entropy, that measure of uncertainty that takes fractional, universal values in anyons, like a password to their inner world.

The theorists' method turns a quantum interferometer into a stethoscope listening to the entropy pulse. At the device's heart is an antidot, a tiny island inside the Hall fluid, capable of trapping single anyons. When a captive enters the trap, it shifts the interference pattern's phase, and the current starts twitching — creating telegraph noise, like Morse code. The average dwell time of the anyon depends not only on charge but also on entropy, and thus on temperature. Using Maxwell relations, one can extract entropy from how the average charge changes with temperature — like a secret message decoded from the Morse beeps. This nonlocal charge sensing essentially measures the quantum information stored in topological degrees of freedom.

Numerical simulation of stochastic switching showed: in the Abelian case (ν=1/3), entropy flares up only at charge degeneracy points with a peak of $k_B$ log 2 — like a simple yes/no binary answer. But the non-Abelian nature at ν=5/2 manifests differently: states with an unpaired anyon carry an excess entropy of (1/2)$k_B$ log 2, and its integrated value is exactly $k_B$ log √2. This even-odd effect survives even moderate quantum decoherence caused by slow tunneling, making experimental realization quite feasible. Already today, graphene interferometers show slow telegraph switching, and enhanced quantum measurement precision together with temperature control promises imminent verification. Remarkably, the measured entropy directly reflects the topological entropy of the entire quantum liquid — as if we hear the echo of order spread throughout the system. The ideas laid down by Frank Wilczek, who coined the term 'anyon,' and Alexei Kitaev, who pointed the way to topological quantum computing, now gain a long-awaited tool. In the future — thermodynamic spectroscopy of other candidates like the anti-Pfaffian, and perhaps the creation of a topological qubit whose memory is protected by geometry itself.