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Quantum Error Correction
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Quantum Entanglement
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.
Quantum Decoherence
The process by which quantum information is lost to the environment, quantum error correction aims to preserve information before decoherence becomes irreversible.
Quantum Error Correction Codes (QECCs)
Sets of protocols for protecting qubits from errors; they are crucial for implementing reliable quantum algorithms on error-prone quantum hardware.
Qubit
The fundamental unit of quantum information, susceptible to errors from decoherence and quantum noise, necessitating error correction strategies.
Surface Codes
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.
Fault-Tolerant Quantum Computation
A scheme which allows for reliable quantum computation even when the individual components are imperfect, by designing operations that are insensitive to certain errors.
Quantum Teleportation
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.
Quantum Error Syndromes
Unique signatures of qubit errors detected via syndrome measurement, allowing determination of which error correction procedure to apply without collapsing the qubit's state.
Quantum Superposition
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.
Shor's Quantum Error Correction Code
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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