A single unit of quantum information protected from errors by encoding it across multiple physical qubits.A logical qubit is a unit of quantum information that is protected from errors by being encoded across multiple physical qubits. In real quantum computers, individual qubits are fragile and prone to decoherence and operational errors. A logical qubit uses redundancy and entanglement to detect and correct these errors, allowing quantum computations to proceed reliably. This is the foundational concept behind fault-tolerant quantum computing, where information is stored in a way that errors can be identified and fixed without disturbing the actual quantum state.
The concept of quantum error correction and logical qubits was introduced by Peter Shor and Andrew Steane in 1995, shortly after the discovery of quantum algorithms that could outperform classical ones.
The most common approach is the surface code, where many physical qubits are arranged on a lattice. Data qubits store the logical information, while additional 'measurement' qubits are used to check for errors. By measuring certain parity properties of the qubits, errors can be detected without collapsing the quantum state. When an error is found, it is corrected by applying appropriate quantum gates. The logical qubit is thus a collective state of many physical qubits, and its error rate decreases exponentially as the number of physical qubits increases, provided the physical error rate is below a certain threshold.
Logical qubits are essential for building scalable quantum computers that can run algorithms like Shor's factoring or quantum simulations without errors. They are being implemented in various hardware platforms, including superconducting circuits and trapped ions.
In 2023, a team at Harvard demonstrated a logical qubit with 48 physical qubits, achieving an error rate lower than any of its individual physical qubits.













