Quantum Error Correction And Fault Tolerant Logica

# Quantum Error Correction And Fault Tolerant Logica

## Core Concepts

Quantum error correction (QEC) is crucial for building practical quantum computers. Unlike classical bits, qubits are fragile and susceptible to decoherence and gate errors. These errors can rapidly destroy quantum information. QEC aims to protect quantum information from these errors without collapsing the quantum state (the no-cloning theorem prevents simple duplication for redundancy).

**Key Challenges:**
*   **No-Cloning Theorem:**  Quantum states cannot be perfectly copied, preventing classical redundancy techniques.
*   **Measurement Problem:** Measuring a qubit to check for errors collapses its superposition.
*   **Continuous Errors:** Errors aren't just bit flips; they can be phase flips and arbitrary rotations.