Quantum bit flip channel
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- 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.[1]
- 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 .[1]
- We will explore three distinct approaches to the bit-flip code.[1]
- 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).[2]
- minimum fidelities, with (red) and without (blue) error correcting via the three qubit bit flip code.[2]
- 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.[2]
- The error channel may induce either a bit flip, a sign flip (i.e., a phase flip), or both.[2]
- I first describe the basics of quantum repetition codes, as applicable to bit-flip and phase-flip quantum channels.[3]
- 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.[3]
- 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.[3]
- It involves a rotation of a qubit by an angle φ , without a bit flip.[4]
- This simple observation is crucial: a phase flip in one basis looks like a bit flip in the other basis.[4]
- The effect of a bit-flip error is shown by the red arrow marked "bit flip" (it is a reflection in the diagonal line).[4]
- Do we now have a way to correct both bit flip and phase flip errors together?[4]
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Spacy 패턴 목록
- [{'LOWER': 'bit'}, {'OP': '*'}, {'LOWER': 'flip'}]