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Consider two spins 1 and N, which are entangled and far from each other. Asit is famous, performing any measurement on spin N does not change the reducedstate of spin 1. In other words, spin 1 will never realize that a measurementhas been performed on spin N. But, what does happen if spins 1 and N areconnected to each other by a spin chain, including spins 2 to N - 1? Ingeneral, we expect that the information of performing a measurement on spin Nachieves spin 1, after a period of time. In other words, we expect that thereduced state of spin 1 is changed, due to the measurement performed on spin N,after some while. In this paper, we show that, if the measurement on spin N isperformed instantaneously, and if we choose the initial state of the whole spinchain, from 1 to N, appropriately, then the information of performing themeasurement on spin N never achieves spin 1.

Instantaneous measurement can isolate the information