survey of quantum error correction codes

SURVEY OF QUANTUM ERROR CORRECTION CODES CODE

There are two fundamental types of errors on qubits: X and Z. A Tutorial on Quantum Error Correction 2 1.Quantum error-correcting codes encode a number of logical qubits into a larger number of phys. Measuring individual qubits to determine whether an error has occurred will destroy the superposition necessary to maintain a logical state, so measurements which detect errors must be done indirectly, using ancilla qubits. See Daniel Gottesmans survey for more details 2.More redundancy in the encoding scheme tends to lead to better protection against errors.

SURVEY OF QUANTUM ERROR CORRECTION CODES CODE

A variety of encoding schemes exist to protect qubits against external noise, and the effects of imprecise control. A quantum code suppresses errors if the set of correctable errors contains all likely errors, with respect to a given error model.The simplest albeit inefficient approach is the repetition code. Classical error correction employs redundancy. Quantum error correction is theorised as essential to achieve fault-tolerant quantum computation that can reduce the effects of noise on stored quantum information, faulty quantum gates, faulty quantum preparation, and faulty measurements. Large-scale computations require much lower logical error rates than those we can produce directly in hardware. Quantum error correction is used in quantum computing to protect quantum information from errors due to decoherence and other quantum noise.

Survey of quantum error correction codes