Data Portal @ linkeddatafragments.org

Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Quantum_error_correction> ?p ?o. }

• Quantum_error_correction abstract "Quantum error correction is used in quantum computing to protect quantum information from errors due to decoherence and other quantum noise. Quantum error correction is essential if one is to achieve fault-tolerant quantum computation that can deal not only with noise on stored quantum information, but also with faulty quantum gates, faulty quantum preparation, and faulty measurements.Classical error correction employs redundancy. The simplest way is to store the information multiple times, and—if these copies are later found to disagree—just take a majority vote; e.g. Suppose we copy a bit three times. Suppose further that a noisy error corrupts the three-bit state so that one bit is equal to zero but the other two are equal to one. We also assume that noisy errors are independent and occur with some probability p. It is most likely that the error is a single-bit error and the transmitted message is three ones. It is possible that a double-bit error occurs and the transmitted message is equal to three zeros, but this outcome is less likely than the above outcome.Copying quantum information is not possible due to the no-cloning theorem. This theorem seems to present an obstacle to formulating a theory of quantum error correction. But it is possible to spread the information of one qubit onto a highly-entangled state of several (physical) qubits. Peter Shor first discovered this method of formulating a quantum error correcting code by storing the information of one qubit onto a highly-entangled state of nine qubits. A quantum error correcting code protects quantum information against errors of a limited form.Classical error correcting codes use a syndrome measurement to diagnose which error corrupts an encoded state. We then reverse an error by applying a corrective operation based on the syndrome. Quantum error correction also employs syndrome measurements. We perform a multi-qubit measurement that does not disturb the quantum information in the encoded state but retrieves information about the error. A syndrome measurement can determine whether a qubit has been corrupted, and if so, which one. What is more, the outcome of this operation (the syndrome) tells us not only which physical qubit was affected, but also, in which of several possible ways it was affected. The latter is counter-intuitive at first sight: Since noise is arbitrary, how can the effect of noise be one of only few distinct possibilities? In most codes, the effect is either a bit flip, or a sign (of the phase) flip, or both (corresponding to the Pauli matrices X, Z, and Y). The reason is that the measurement of the syndrome has the projective effect of a quantum measurement. So even if the error due to the noise was arbitrary, it can be expressed as a superposition of basis operations—the error basis (which is here given by the Pauli matrices and the identity). The syndrome measurement "forces" the qubit to "decide" for a certain specific "Pauli error" to "have happened", and the syndrome tells us which, so that we can let the same Pauli operator act again on the corrupted qubit to revert the effect of the error.The syndrome measurement tells us as much as possible about the error that has happened, but nothing at all about the value that is stored in the logical qubit—as otherwise the measurement would destroy any quantum superposition of this logical qubit with other qubits in the quantum computer.".
• Quantum_error_correction thumbnail Quantum_error_correction_of_bit_flip_using_three_qubits.svg?width=300.
• Quantum_error_correction wikiPageExternalLink 9604038.
• Quantum_error_correction wikiPageExternalLink 9605005.
• Quantum_error_correction wikiPageExternalLink 9608006.
• Quantum_error_correction wikiPageExternalLink 0410199.
• Quantum_error_correction wikiPageExternalLink nphoton.2010.168.html.
• Quantum_error_correction wikiPageExternalLink article.ns?id=dn9301&feedId=online-news_rss20.
• Quantum_error_correction wikiPageExternalLink theme3.py?level=1&index1=362347.
• Quantum_error_correction wikiPageID "892803".
• Quantum_error_correction wikiPageRevisionID "606003623".
• Quantum_error_correction hasPhotoCollection Quantum_error_correction.
• Quantum_error_correction subject Category:Fault-tolerant_computer_systems.
• Quantum_error_correction subject Category:Quantum_information_science.
• Quantum_error_correction type Artifact100021939.
• Quantum_error_correction type ComputerSystem103085915.
• Quantum_error_correction type Fault-tolerantComputerSystems.
• Quantum_error_correction type Instrumentality103575240.
• Quantum_error_correction type Object100002684.
• Quantum_error_correction type PhysicalEntity100001930.
• Quantum_error_correction type System104377057.
• Quantum_error_correction type Whole100003553.
• Quantum_error_correction comment "Quantum error correction is used in quantum computing to protect quantum information from errors due to decoherence and other quantum noise. Quantum error correction is essential if one is to achieve fault-tolerant quantum computation that can deal not only with noise on stored quantum information, but also with faulty quantum gates, faulty quantum preparation, and faulty measurements.Classical error correction employs redundancy.".
• Quantum_error_correction label "Code quantique".
• Quantum_error_correction label "Corrección de errores cuántica".
• Quantum_error_correction label "Quantenfehlerkorrektur".
• Quantum_error_correction label "Quantum error correction".
• Quantum_error_correction sameAs Quantenfehlerkorrektur.
• Quantum_error_correction sameAs Corrección_de_errores_cuántica.
• Quantum_error_correction sameAs Code_quantique.
• Quantum_error_correction sameAs m.03md2j.
• Quantum_error_correction sameAs Q1536431.
• Quantum_error_correction sameAs Q1536431.
• Quantum_error_correction sameAs Quantum_error_correction.
• Quantum_error_correction wasDerivedFrom Quantum_error_correction?oldid=606003623.
• Quantum_error_correction depiction Quantum_error_correction_of_bit_flip_using_three_qubits.svg.
• Quantum_error_correction isPrimaryTopicOf Quantum_error_correction.