  Localization is critical to numerous applications. The performance of
classical localization protocols is limited by the specific form of distance
information and suffer from considerable ranging errors. This paper foresees a
new opportunity by utilizing the exceptional property of entangled quantum
states to measure a linear combination of target-anchor distances.
Specifically, we consider localization with quantum-based TDoA measurements.
Classical TDoA ranging takes the difference of two separate measurements.
Instead, quantum ranging allows TDoA estimation within a single measurement,
thereby reducing the ranging errors. Numerical simulations demonstrate that the
new quantum-based localization significantly outperforms conventional
algorithms based on classical ranging, with over 50% gains on average.
