Identity channel

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In quantum information theory, the identity channel is a noise-free quantum channel. That is, the channel outputs exactly what was put in.[1] The identity channel is commonly denoted as [math]\displaystyle{ I }[/math], [math]\displaystyle{ \mathsf{id} }[/math] or [math]\displaystyle{ \mathbb{I} }[/math].

References

  1. Wilde, Mark (2013), Quantum Information Theory, Cambridge University Press, p. 618, ISBN 9781107034259, https://books.google.com/books?id=T36v2Sp7DnIC&pg=PA618 .