Previously lacking rigorous mathematical foundations, quantifying similarity between distant quantum states now comes with guaranteed error margins and resource needs. These new protocols, using techniques like coordinated displacement and Haar measurements, certify estimations of inner products between unknown bosonic states through only local operations and classical communication. While theoretically optimal coordinated Haar measurements pose experimental hurdles, this work establishes a path toward dependable benchmarking in complex quantum networks.
Quantum System Comparison Achieves Certified Estimates with Defined Error Bounds
Previously lacking rigorous mathematical foundations, quantifying similarity between distant quantum states now comes with guaranteed error margins and resource needs. These new protocols, using techniques like coordinated displacement and Haar measurements, certify estimations of inner products between unknown bosonic states through only local operations and classical communication. While theoretically optimal coordinated Haar measurements pose experimental hurdles, this work establishes a p...