Misplaced Pages

Shor code

Article snapshot taken from[REDACTED] with creative commons attribution-sharealike license. Give it a read and then ask your questions in the chat. We can research this topic together.

This is an old revision of this page, as edited by Skippydo (talk | contribs) at 19:45, 8 August 2007. The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

Revision as of 19:45, 8 August 2007 by Skippydo (talk | contribs)(diff) ← Previous revision | Latest revision (diff) | Newer revision → (diff)

The Shor Code is an error correction technique used to protect a quantum computer against single qubit errors.

The code

We map the qubit α | 0 ⟩ + β | 1 ⟩ {\displaystyle \alpha |0\rangle +\beta |1\rangle } to the nine qubit state

α 2 2 ( | 000 ⟩ + | 111 ⟩ ) ( | 000 ⟩ + | 111 ⟩ ) ( | 000 ⟩ + | 111 ⟩ ) {\displaystyle {\frac {\alpha }{2{\sqrt {2}}}}(|000\rangle +|111\rangle )(|000\rangle +|111\rangle )(|000\rangle +|111\rangle )}
+ β 2 2 ( | 000 ⟩ − | 111 ⟩ ) ( | 000 ⟩ − | 111 ⟩ ) ( | 000 ⟩ − | 111 ⟩ ) {\displaystyle +{\frac {\beta }{2{\sqrt {2}}}}(|000\rangle -|111\rangle )(|000\rangle -|111\rangle )(|000\rangle -|111\rangle )}
Shor code Add topic