  In this work, we consider the preservation of a measurement for quantum
systems interacting with an environment. Namely, a method of preserving an
optimal measurement over a channel is devised, what we call channel coding of a
quantum measurement in that operations are applied before and after a channel
in order to protect a measurement. A protocol that preserves a quantum
measurement over an arbitrary channel is shown only with local operations and
classical communication without the use of a larger Hilbert space. Therefore,
the protocol is readily feasible with present day's technologies. Channel
coding of qubit measurements is presented, and it is shown that a measurement
can be preserved for an arbitrary channel for both i) pairs of qubit states and
ii) ensembles of equally probable states. The protocol of preserving a quantum
measurement is demonstrated with IBM quantum computers.
