Quantum instrument

A quantum instrument is a quantum operation with both classical and quantum outputs. It combines the concepts of measurement and quantum operation.

Description

Usually it is implemented as a weighted collection of completely positive maps the sum of which is trace preserving.

Quantum Instrument: collection \mathcal{E}_k acts as: 
\rho^{AB} \rightarrow	
\tilde{\rho}^{AA'B} := \sum_k \mathcal{E}_k
\left( \rho^{AB} \right)\otimes \vert k \rangle \langle k\vert^{A'}

A quantum instrument is more general than a quantum operation because it records the outcome k of which operator acted on the state.

References

Last modified on 8 January 2013, at 23:31