Joint measurements on qubits and cloning of observables

Details Joint measurements on qubits and cloning of observables Joint measurements on qubits and cloning of observables

2007-01-14

arxiv.org/abs/quant-ph/0701089v1

Open Syst. & Inf. Dyn. 14, 149 (2007)

Physics

Quantum Physics

7 pages, 1 figure, to appear on Open System & Inf. Dynamics

Scientific paper

Cloning of observables, unlike standard cloning of states, aims at copying the information encoded in the statistics of a class of observables rather then on quantum states themselves. In such a process the emphasis is on the quantum operation (evolution plus measurement) necessary to retrieve the original information. We analyze, for qubit systems, the cloning of a class generated by two noncommuting observables, elucidating the relationship between such a process and joint measurements. This helps in establishing an optimality criterion for cloning of observables. We see that, even if the cloning machine is designed to act on the whole class generated by two noncommuting observables, the same optimal performances of a joint measurement can be attained. Finally, the connection with state dependent cloning is enlightened.

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