Concatenated quantum codes

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Description

One main problem for the future of practial quantum computing is to stabilize the computation against unwanted interactions with the environment and imperfections in the applied operations. Existing proposals for quantum memories and quantum channels require gates with asymptotically zero error to store or transmit an input quantum state for arbitrarily long times or distances with fixed error. This report gives a method which has the property that to store or transmit a qubit with maximum error {epsilon} requires gates with errors at most {ital c}{epsilon} and storage or channel elements with error at most {epsilon}, independent of how long ... continued below

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18 p.

Creation Information

Knill, E. & Laflamme, R. July 1, 1996.

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This report is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided by UNT Libraries Government Documents Department to Digital Library, a digital repository hosted by the UNT Libraries. More information about this report can be viewed below.

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Description

One main problem for the future of practial quantum computing is to stabilize the computation against unwanted interactions with the environment and imperfections in the applied operations. Existing proposals for quantum memories and quantum channels require gates with asymptotically zero error to store or transmit an input quantum state for arbitrarily long times or distances with fixed error. This report gives a method which has the property that to store or transmit a qubit with maximum error {epsilon} requires gates with errors at most {ital c}{epsilon} and storage or channel elements with error at most {epsilon}, independent of how long we wish to store the state or how far we wish to transmit it. The method relies on using concatenated quantum codes and hierarchically implemented recovery operations. The overhead of the method is polynomial in the time of storage or the distance of the transmission. Rigorous and heuristic lower bounds for the constant {ital c} are given.

Physical Description

18 p.

Notes

OSTI as DE96014570

Source

  • Other Information: PBD: Jul 1996

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  • Other: DE96014570
  • Report No.: LA-UR--96-2808
  • Grant Number: W-7405-ENG-36
  • DOI: 10.2172/369608 | External Link
  • Office of Scientific & Technical Information Report Number: 369608
  • Archival Resource Key: ark:/67531/metadc680230

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Creation Date

  • July 1, 1996

Added to The UNT Digital Library

  • July 25, 2015, 2:20 a.m.

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  • Feb. 29, 2016, 1:38 p.m.

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Knill, E. & Laflamme, R. Concatenated quantum codes, report, July 1, 1996; New Mexico. (digital.library.unt.edu/ark:/67531/metadc680230/: accessed September 25, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.