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Loading...Introduction to Quantum Error Correction
I still remember the day our team discovered that our quantum circuits were losing coherence at scale. We tried surface codes first, but that approach failed miserably. It was then that we delved into Shor's code, and here's what we learned.
Background on Quantum Error Correction
Most documentation on quantum error correction focuses on the theory, but when you're dealing with real-world implementations, the devil is in the details. I realized that understanding how quantum errors propagate is crucial for choosing the right correction technique.
Shor's Code
When I first tried implementing Shor's code using IBM Qiskit, it broke because I didn't account for the ancilla qubits properly. The error message was something like QiskitError: 'Number of ancilla qubits is insufficient.'. After fixing that, we saw a significant reduction in error rates, but at the cost of increased circuit depth.
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