Speed-Accuracy Trade-Off Relations in Quantum Measurements and Computations

In practical measurements, it is widely recognized that reducing the measurement time leads to decreased accuracy. However, whether an inherent speed-accuracy trade-off exists as a fundamental physical constraint for quantum measurements is not obvious, and the answer remains unknown. Here, we establish a fundamental speed-accuracy trade-off relation based on the energy conservation law and the locality. Our trade-off works as a no-go theorem that the zero-error measurement for the operators tha...