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Quantum Error Correction

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Quantum Entanglement

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A resource for quantum error correction that allows correlation of qubits across physical distances, aiding in detecting and correcting errors without directly measuring quantum states.

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Quantum Decoherence

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The process by which quantum information is lost to the environment, quantum error correction aims to preserve information before decoherence becomes irreversible.

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Quantum Error Correction Codes (QECCs)

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Sets of protocols for protecting qubits from errors; they are crucial for implementing reliable quantum algorithms on error-prone quantum hardware.

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Qubit

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The fundamental unit of quantum information, susceptible to errors from decoherence and quantum noise, necessitating error correction strategies.

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Surface Codes

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A type of topological code with local stabilizers that are particularly well-suited for physical qubits arranged on a two-dimensional lattice, preferred for their high error thresholds.

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Fault-Tolerant Quantum Computation

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A scheme which allows for reliable quantum computation even when the individual components are imperfect, by designing operations that are insensitive to certain errors.

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Quantum Teleportation

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While not directly an error correction technique, quantum teleportation allows for the transfer of quantum states between qubits, potentially enabling the creation of robust networks for quantum error correction.

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Quantum Error Syndromes

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Unique signatures of qubit errors detected via syndrome measurement, allowing determination of which error correction procedure to apply without collapsing the qubit's state.

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Quantum Superposition

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Capability of qubits to be in multiple states simultaneously, making error correction non-trivial as both bit-flip and phase-flip errors must be addressed.

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Shor's Quantum Error Correction Code

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A nine-qubit code that can correct arbitrary single-qubit errors by encoding a logical qubit into a larger physical space, illustrating the potential for fault-tolerant quantum computation.

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