The Sign Flip Code
Flipped bits are the only kind of error in classical computer, but there is another possibility of an error with quantum computers, the sign flip. Through the transmission in a channel the relative sign between and can become inverted. For instance, a qubit in the state may have its sign flip to
The original state of the qubit
will be changed into the state
In the Hadamard basis, bit flips become sign flips and sign flips become bit flips. Let be a quantum channel that can cause at most one phase flip. Then the bit flip code from above can recover by transforming into the Hadamard basis before and after transmission through .
Read more about this topic: Quantum Error Correction
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