Complete Information Balance in Quantum Measurement

Quantum measurement is a basic tool to manifest intrinsic quantum effects from fundamental tests information applications. While typically performed gain on state, its role in technology indeed manifold. For instance, crucial process element measurement-based computation. It also used detect and correct errors thereby protecting error-correcting frameworks. therefore important fully characterize the roles of encompassing gain, state disturbance reversibility, together with their relations. Numerous efforts have been made obtain trade-off between disturbance, which becomes practical basis for secure processing. However, complete balance necessary include reversibility measurement, constitutes an integral part We here establish all pairs relations involving crucially one among them together. By doing so, we show that plays vital completing balance. Remarkably, our result can be interpreted as information-conservation law nontrivial form. completely identify conditions optimal measurements satisfy conservation each tradeoff relation potential Our work provide useful guideline designing accordance aims processors.