๐Ÿ”ท Logical vs Physical Qubits

Discover how error correction transforms fragile qubits into reliable quantum information

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Stabilizer Codes

๐Ÿ”ท The Foundation of Fault Tolerance

In quantum computing, not all qubits are created equal. Physical qubits are the actual quantum systems we manipulateโ€”fragile, error-prone, and subject to decoherence. Logical qubits are abstract, error-protected quantum information encoded across multiple physical qubits using quantum error correction.

๐Ÿ’ก The Critical Distinction

This distinction is fundamental to practical quantum computing. While a physical qubit might have an error rate of 0.1%, a logical qubit can achieve error rates below 10โปยนโตโ€”a billion times more reliable. This transformation is what makes large-scale quantum computation possible.

๐ŸŽฏ What You'll Learn

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Physical Qubits
Real quantum systems with inherent errors
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Logical Qubits
Error-protected abstract information
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Encoding Process
How redundancy creates reliability
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Resource Overhead
The cost of error protection

๐ŸŒŸ The Big Picture

When we talk about building a "1000-qubit quantum computer," we need to ask: logical or physical?

  • โ€ข1000 physical qubits โ†’ ~10-50 logical qubits (with error correction)
  • โ€ข1000 logical qubits โ†’ ~10,000-1,000,000 physical qubits needed
  • โ€ขCurrent quantum computers have ~100-1000 physical qubits but zero error-corrected logical qubits