Blind Symmetry Matching in Quantum States with Application to Shot-Count Reduction

Quantum computing's shot-count reduction is now feasible thanks to a novel method called blind symmetry matching, which identifies symmetries in quantum states. This approach enables the measurement of quantum computations in a basis adapted to the symmetry, significantly reducing the number of repeated measurements required to obtain a statistical answer. By detecting the symmetry a quantum state carries, this technique has various applications, including certifying a claimed symmetry, identifying a conserved-charge sector, and flagging symmetry-breaking as an error signature. The implications of this breakthrough extend beyond quantum computing, as state-aligned threat activity can elevate the stakes from criminal to geopolitical¹. This development matters to practitioners because it can inform strategies for mitigating potential threats and enhancing the security of quantum computing systems.