One of the fundamental components of quantum theory is measurement. one can think of measurement as the interface between the quantum world and our everyday world. An experimenter can gather information about a quantum state by doing measurements on it and use this information to design quantum protocols. Measurement, however, is a noisy process. The noise can arise from the measurement apparatus itself or from the uncertainty inherent in the quantum state in this talk we will try to understand how one can separate out these two types of noise. One can do this by formulating an information processing task called measurement compression.
Measurement compression was first proposed by Winter and subsequently generalised further by Wilde et al. However the original proofs of this protocol are extremely complicated. The talk will be based on new work by Chakraborty, Padakandla and Sen by which we can obtain a much more elementary understanding of this fundamental information processing task.