Exploring Quantum Measurements and Unitary Operators

In summary, the conversation is discussing quantum measurements and the use of quantum channels to realize them. The concept of Stinespring dilation is mentioned, which states that a quantum channel can be realized by partially tracing a unitary operator on a larger Hilbert space. The question is raised about the possibility of this being true and if an example of such a unitary operator can be given. A link to a forum is provided, but the asker is unsure if it provides an answer to their question.
  • #1
Heidi
411
40
Hi Pfs

I read this answer in
https://quantumcomputing.stackexcha...-gates-must-be-unitary-what-about-measurement

Quantum measurements are special cases of quantum channels (CPTP cards). Stinespring dilation states that any quantum channel is realized by partially tracing a unitary operator acting on a possibly larger Hilbert space.

I wonder if it is true. and in this case is it possible to give an example of such unitary operator? i suppose that the evolution process is random.

[I translated the French part. Please use English only.]
 
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