2

I have a target unitary that I want to implement and I have a known dynamics that results in a quantum channel. I already have some fidelity measures to characterize the overlap between them. (like: https://arxiv.org/abs/0909.0077) But I want a more straightforward method to see their difference.

What I have in mind is something like separating the quantum channel into two parts. One is the 'unitary' part that only involves rotation of the state vector. The other is decoherence which causes the Bloch vector to 'shrink'. It sounds like finding two sets of Kraus operators. Is there a way to do this and compare the 'unitary' part of the quantum channel with the target unitary?

glS
  • 27,510
  • 7
  • 37
  • 125
Will Yang
  • 317
  • 1
  • 6

1 Answers1

1

I found the following two works solving this problem. They selected several reference states and took the HS product between the final states evolved by the target unitary and the quantum channel. https://journals.aps.org/pra/abstract/10.1103/PhysRevA.88.042309 https://iopscience.iop.org/article/10.1088/1367-2630/16/5/055012

Will Yang
  • 317
  • 1
  • 6