#QUANTUM ERROR CORRECTION PDF CODE#

These codes make it possible to store quantum information so that one can reverse the effects of the most likely errors. Quantum error correction (QEC) and fault-tolerant quantum computation represent one of the most vital theoretical aspect of quantum information processing. Department of Computer Science & Engineering, University of Washington. These quantum molecular machines set the terrain for the experimental study of biology-inspired coherent quantum chemistry and quantum active matter. (1996) and Shor (1995) gave the first constructions of quantum error-correcting codes. Introduction to Quantum Error Correction.

#QUANTUM ERROR CORRECTION PDF CODE#

if the code can correct three errors then circuits may be designed such that a single failure results in at most three errors in the output (which is then correctable). Here, we consider the possibility of analogous devices termed quantum molecular machines, or “qubots.” Qubots consist of small arrangements of atoms engineered in such a way that a disturbance on the internal protected state of the system sets in motion a chain of effects that counteract the disturbance and that self-correct the induced error.Īfter exploring a conceptual model for a qubot capable of partially protecting a logical qubit state, we discuss the potential implementation of an “entanglement qubot,” a device that protects a Bell state against single-qubit errors based on Rydberg-dressed atoms. However, if the quantum code employed is able to correct multiple errors, then the definition of fault-tolerance can be relaxed, i.e. What if we could seek inspiration in nature’s best information processing units and molecular machines to build quantum devices capable of autonomous error correction?Ī prime example of a naturally occurring molecular machine is RNA polymerase, a tiny molecular motor responsible for producing RNA out of DNA with exceedingly small error rates. These so-called “quantum error-correction codes” typically require frequent monitoring and control of the computer constituents.

To achieve this goal, schemes to diagnose errors and protect quantum information against the environment have been invented. The building of a quantum computer, however, is a daunting task. The recent discovery of the use of operator subspaces as a generalization of stabilizers for quantum error correction (QEC) has provided a more flexible. Quantum computing is emerging as a promising technology offering unprecedented mathematical power and the possibility of predicting new complex physical, chemical, and even biological phenomena that are to date unreachable using conventional computers. This quantum error-correction scheme may thus find application in quantum cryptographic networks57 (where low noise is equivalent to high security), possibly.

Quantum error correction pdf