Everything about Five-qubit error correcting code
Type of error correction in quantum computing
The five-qubit error correcting code, [[5,1,3]] code, or Laflamme–Miquel–Paz–Zurek code is the smallest quantum error correcting code that can protect a logical qubit from any arbitrary single qubit error. In this code, 5 physical qubits are used to encode the logical qubit. With and being Pauli matrices and the Identity matrix, this code's generators are. Its logical operators are and. Once the logical qubit is encoded, errors on the physical qubits can be detected via stabilizer measurements. A lookup table that maps the results of the stabilizer measurements to the types and locations of the errors gives the control system of the quantum computer enough information to correct errors. Wikipedia →
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- Read the landmark paper: Benchmarking Quantum Computers: The Five-Qubit Error Correcting CodeCited 187 times
- Go sideways: Steane codeA closely related topic
- Go sideways: Shor codeA closely related topic
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🏆 Landmark papers (most cited)
Benchmarking Quantum Computers: The Five-Qubit Error Correcting Code
Experimental exploration of five-qubit quantum error-correcting code with superconducting qubits
Simulation of the five-qubit quantum error correction code on superconducting qubits
Entanglement evolution in a five qubit error correction code
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đź”— Related topics
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- Quantum error correction Quantum error correction (QEC) comprises a set of techniques used in quantum memory and quantum computing to protect quantum information from errors arising…
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- Parity measurement Parity measurement (also referred to as Operator measurement) is a procedure in quantum information science used for error detection in quantum qubits…