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Quantum Error Correction
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== <span style="color: #FFFFFF;">Remembering</span> == * '''Quantum Error Correction (QEC)''' β The process of protecting quantum information from noise and decoherence. * '''Logical Qubit''' β A "Virtual" qubit that is stable and error-free, made up of many physical qubits. * '''Physical Qubit''' β A single, real-world quantum device (like one ion or one superconducting loop) that is prone to errors. * '''Decoherence''' β The "Leaking" of quantum information into the environment, causing a qubit to lose its superposition. * '''Bit-Flip Error''' β When a |0β© accidentally becomes a |1β© (similar to a classical error). * '''Phase-Flip Error''' β A unique quantum error where the "Sign" of the superposition changes, which can ruin a calculation. * '''Surface Code''' β A specific arrangement of qubits on a 2D grid used to detect and fix errors. * '''Syndrome Measurement''' β A technique for "Looking at the neighbors" of a qubit to see if an error happened without looking at the qubit itself. * '''Fault Tolerance''' β A system designed so that it can continue to work correctly even if some of its parts fail. * '''Overhead''' β The "Cost" of error correction (e.g., needing 1,000 physical qubits to make 1 good logical qubit). </div> <div style="background-color: #006400; color: #FFFFFF; padding: 20px; border-radius: 8px; margin-bottom: 15px;">
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