FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1500004221> ?p ?o ?g. }

• W1500004221 abstract "Quantum error correction (QEC) is an essential concept for any quantum information processing device. Typically, QEC is designed with minimal assumptions about the noise process; this generic assumption exacts a high cost in efficiency and performance. We examine QEC methods that are adapted to the physical noise model. In physical systems, errors are not likely to be arbitrary; rather we will have reasonable models for the structure of quantum decoherence. We may choose quantum error correcting codes and recovery operations that specifically target the most likely errors. This can increase QEC performance and also reduce the required overhead.We present a convex optimization method to determine the optimal in terms of average entanglement fidelity) recovery operation for a given channel, encoding, and information source. This is solvable via a semidefinite program (SDP). We derive an analytic solution to the optimal recovery for the case of stabilizer codes, the completely mixed input source, and channels characterized by Pauli group errors. We present computational algorithms to generate near-optimal recovery operations structured to begin with a projective syndrome measurement. These structured operations are more computationally scalable than the SDP required for computing the optimal; we can thus numerically analyze longer codes. Using Lagrange duality, we bound the performance of the structured recovery operations and show that they are nearly optimal in many relevant cases.We present two classes of channel-adapted quantum error correcting codes specifically designed for the amplitude damping channel. These have significantly higher rates with shorter block lengths than corresponding generic quantum error correcting codes. Both classes are stabilizer codes, and have good fidelity performance with stabilizer recovery operations. The encoding, syndrome measurement, and syndrome recovery operations can all be implemented with Clifford group operations. (Copies available exclusively from MIT Libraries, Rm. 14-0551, Cambridge, MA 02139-4307. Ph. 617-253-5668; Fax 617-253-1690.)" @default.
• W1500004221 created "2016-06-24" @default.
• W1500004221 creator A5020744800 @default.
• W1500004221 creator A5076108771 @default.
• W1500004221 creator A5082232165 @default.
• W1500004221 date "2007-01-01" @default.
• W1500004221 modified "2023-09-27" @default.
• W1500004221 title "Channel-adapted quantum error correction" @default.
• W1500004221 cites W1551035735 @default.
• W1500004221 cites W1631356911 @default.
• W1500004221 cites W1658130152 @default.
• W1500004221 cites W1839785972 @default.
• W1500004221 cites W1969246646 @default.
• W1500004221 cites W1976865215 @default.
• W1500004221 cites W1977777707 @default.
• W1500004221 cites W1988155384 @default.
• W1500004221 cites W1993205278 @default.
• W1500004221 cites W1993500866 @default.
• W1500004221 cites W1999706070 @default.
• W1500004221 cites W2000470073 @default.
• W1500004221 cites W2005668873 @default.
• W1500004221 cites W2007264979 @default.
• W1500004221 cites W2012966417 @default.
• W1500004221 cites W2042474962 @default.
• W1500004221 cites W2060887031 @default.
• W1500004221 cites W2069711632 @default.
• W1500004221 cites W2091331782 @default.
• W1500004221 cites W2092938635 @default.
• W1500004221 cites W2114207424 @default.
• W1500004221 cites W2115611948 @default.
• W1500004221 cites W2116102644 @default.
• W1500004221 cites W2116858786 @default.
• W1500004221 cites W2123503288 @default.
• W1500004221 cites W2139995600 @default.
• W1500004221 cites W2142521644 @default.
• W1500004221 cites W2153553676 @default.
• W1500004221 cites W2159566537 @default.
• W1500004221 cites W2167413626 @default.
• W1500004221 cites W2167927798 @default.
• W1500004221 cites W2296319761 @default.
• W1500004221 cites W2610857016 @default.
• W1500004221 cites W2763302490 @default.
• W1500004221 hasPublicationYear "2007" @default.
• W1500004221 type Work @default.
• W1500004221 sameAs 1500004221 @default.
• W1500004221 citedByCount "5" @default.
• W1500004221 crossrefType "journal-article" @default.
• W1500004221 hasAuthorship W1500004221A5020744800 @default.
• W1500004221 hasAuthorship W1500004221A5076108771 @default.
• W1500004221 hasAuthorship W1500004221A5082232165 @default.
• W1500004221 hasConcept C103088060 @default.
• W1500004221 hasConcept C111919701 @default.
• W1500004221 hasConcept C11413529 @default.
• W1500004221 hasConcept C121332964 @default.
• W1500004221 hasConcept C126255220 @default.
• W1500004221 hasConcept C169699857 @default.
• W1500004221 hasConcept C186468114 @default.
• W1500004221 hasConcept C2779960059 @default.
• W1500004221 hasConcept C33923547 @default.
• W1500004221 hasConcept C41008148 @default.
• W1500004221 hasConcept C41241483 @default.
• W1500004221 hasConcept C51003876 @default.
• W1500004221 hasConcept C58053490 @default.
• W1500004221 hasConcept C62520636 @default.
• W1500004221 hasConcept C84114770 @default.
• W1500004221 hasConceptScore W1500004221C103088060 @default.
• W1500004221 hasConceptScore W1500004221C111919701 @default.
• W1500004221 hasConceptScore W1500004221C11413529 @default.
• W1500004221 hasConceptScore W1500004221C121332964 @default.
• W1500004221 hasConceptScore W1500004221C126255220 @default.
• W1500004221 hasConceptScore W1500004221C169699857 @default.
• W1500004221 hasConceptScore W1500004221C186468114 @default.
• W1500004221 hasConceptScore W1500004221C2779960059 @default.
• W1500004221 hasConceptScore W1500004221C33923547 @default.
• W1500004221 hasConceptScore W1500004221C41008148 @default.
• W1500004221 hasConceptScore W1500004221C41241483 @default.
• W1500004221 hasConceptScore W1500004221C51003876 @default.
• W1500004221 hasConceptScore W1500004221C58053490 @default.
• W1500004221 hasConceptScore W1500004221C62520636 @default.
• W1500004221 hasConceptScore W1500004221C84114770 @default.
• W1500004221 hasLocation W15000042211 @default.
• W1500004221 hasOpenAccess W1500004221 @default.
• W1500004221 hasPrimaryLocation W15000042211 @default.
• W1500004221 hasRelatedWork W1629042260 @default.
• W1500004221 hasRelatedWork W1631356911 @default.
• W1500004221 hasRelatedWork W1646020168 @default.
• W1500004221 hasRelatedWork W1976865215 @default.
• W1500004221 hasRelatedWork W1997180513 @default.
• W1500004221 hasRelatedWork W1999706070 @default.
• W1500004221 hasRelatedWork W2000470073 @default.
• W1500004221 hasRelatedWork W2042474962 @default.
• W1500004221 hasRelatedWork W2050849168 @default.
• W1500004221 hasRelatedWork W2060887031 @default.
• W1500004221 hasRelatedWork W2085103587 @default.
• W1500004221 hasRelatedWork W2092938635 @default.
• W1500004221 hasRelatedWork W2119292153 @default.
• W1500004221 hasRelatedWork W2145727748 @default.
• W1500004221 hasRelatedWork W2171133411 @default.
• W1500004221 hasRelatedWork W2591783339 @default.
• W1500004221 hasRelatedWork W2763302490 @default.

• next