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For questions about quantum channels or more generally quantum maps and the related formalism. For questions about unitary operations, please use quantum-gate instead.

2 votes
2 answers
462 views

Does the unitary freedom in choice of Kraus operators come from the freedom in the choice of...

Does the unitary freedom in the choice of Kraus operators for a given quantum channel just come from the unitary freedom in choice of purification of a quantum state? Here's what I'm thinking. If I ha …
SescoMath's user avatar
  • 609
8 votes
1 answer
578 views

Why does code switching not allow for universal fault-tolerant quantum computation?

In this paper, the authors briefly mention that one proposed method to bypass the Eastin-Knill theorem is to perform code-switching. That is, given codes $C_1$ and $C_2$ which permit a complementary s …
SescoMath's user avatar
  • 609
5 votes
1 answer
313 views

Is the Eastin-Knill Theorem incorrect?

I am reading through this paper (the Eastin-Knill Theorem) and there is a step in the proof of the main theorem that I do not understand. Let $Q$ be a composite quantum system supporting a quantum cod …
SescoMath's user avatar
  • 609