Quantum bit flip channel

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1. For our demonstration, we implement a three-qubit code that corrects bit-flip errors (\(\hat{X}\)), and is sufficient to encode one logical bit of classical memory.
2. a Schematics of the device implementing the bit-flip code with the data qubits D 1 , D 2 , D 3 and the ancilla qubits A t , A b .
3. We will explore three distinct approaches to the bit-flip code.
4. In most codes, the effect is either a bit flip, or a sign (of the phase) flip, or both (corresponding to the Pauli matrices X, Z, and Y).
5. minimum fidelities, with (red) and without (blue) error correcting via the three qubit bit flip code.
6. Notice how, for p ≤ 1 / 2 {\displaystyle p\leq 1/2} Comparison of outputfidelities, with (red) and without (blue) error correcting via the three qubit bit flip code.
7. The error channel may induce either a bit flip, a sign flip (i.e., a phase flip), or both.
8. I first describe the basics of quantum repetition codes, as applicable to bit-flip and phase-flip quantum channels.
9. Then I consider the 9-qubit Shor code, which has the capability of diagnosing and correcting any combination of bit-flip and phase-flip errors, up to one error of each type.
10. We shall discover the elegant Calderbank–Shor–Steane (CSS) codes, which have the capability of correcting any number of errors t, both bit-flip and phase-flip.
11. It involves a rotation of a qubit by an angle φ , without a bit flip.
12. This simple observation is crucial: a phase flip in one basis looks like a bit flip in the other basis.
13. The effect of a bit-flip error is shown by the red arrow marked "bit flip" (it is a reflection in the diagonal line).
14. Do we now have a way to correct both bit flip and phase flip errors together?

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Spacy 패턴 목록

1. [{'LOWER': 'bit'}, {'OP': '*'}, {'LOWER': 'flip'}]