Block synchronization for quantum information

@article{Fujiwara2012BlockSF,
  title={Block synchronization for quantum information},
  author={Yuichiro Fujiwara},
  journal={ArXiv},
  year={2012},
  volume={abs/1206.0260}
}
Locating the boundaries of consecutive blocks of quantum information is a fundamental building block for advanced quantum computation and quantum communication systems. We develop a coding theoretic method for properly locating boundaries of quantum information without relying on external synchronization when block synchronization is lost. The method also protects qubits from decoherence in a manner similar to conventional quantum error-correcting codes, seamlessly achieving synchronization… Expand
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References

SHOWING 1-10 OF 46 REFERENCES
Quantum computation and quantum information
  • T. Paul
  • Mathematics, Computer Science
  • Mathematical Structures in Computer Science
  • 2007
This special issue of Mathematical Structures in Computer Science contains several contributions related to the modern field of Quantum Information and Quantum Computing. The first two papers dealExpand
Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
  • G. Goos
  • Computer Science
  • Lecture Notes in Computer Science
  • 2003
TLDR
Efficient realizations of Reed-Muller codes are presented andGraphical models for codes arise from state realizations, and algebraic tools may improve such graph-based codes. Expand
Fundamentals of Error-Correcting Codes
TLDR
This chapter discusses the development of soft decision and iterative decoding in linear codes, as well as some of the techniques used in convolutional codes. Expand
Synchronization of Digital Telecommunications Networks
TLDR
Synchronization of Digital Telecommunications Networks an enlightening read that provides a clear and profound description of synchronous and asynchronous digital multiplexing (PDH, SDH), jitter and timing aspects of SDH networks. Expand
Nature
  • R. Rosenfeld
  • Medicine
  • Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery
  • 2009
TLDR
I am writing with a simple plea to balance the voluminous articles about treatment in your journal with a modicum of information about nature and caring effects to rekindle the perception of physicians as healers, not only treaters, who relish the gifts of nature, and foster the humanistic aspect of medicine that has thrived for millennia. Expand
Fundamentals of Error-Correcting Codes (Cambridge
  • 2003
BLOCK SYNCHRONIZATION FOR QUANTUM INFORMATION PHYSICAL REVIEW A
  • BLOCK SYNCHRONIZATION FOR QUANTUM INFORMATION PHYSICAL REVIEW A
  • 2013
Inf
  • Theory 53, 1183 (2007). 022344-6 BLOCK SYNCHRONIZATION FOR QUANTUM INFORMATION PHYSICAL REVIEW A 87, 022344
  • 2013
Phys
  • Rev. Lett. 109, 100503
  • 2012
Phys. Rev. Lett
  • Phys. Rev. Lett
  • 2012
...
1
2
3
4
5
...