Concatenated codes for fault tolerant quantum computing

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Description

The application of concatenated codes to fault tolerant quantum computing is discussed. We have previously shown that for quantum memories and quantum communication, a state can be transmitted with error {epsilon} provided each gate has error at most c{epsilon}. We show how this can be used with Shor`s fault tolerant operations to reduce the accuracy requirements when maintaining states not currently participating in the computation. Viewing Shor`s fault tolerant operations as a method for reducing the error of operations, we give a concatenated implementation which promises to propagate the reduction hierarchically. This has the potential of reducing the accuracy requirements ... continued below

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18 p.

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Knill, E.; Laflamme, R. & Zurek, W. May 1, 1995.

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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. It has been viewed 17 times . More information about this report can be viewed below.

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Description

The application of concatenated codes to fault tolerant quantum computing is discussed. We have previously shown that for quantum memories and quantum communication, a state can be transmitted with error {epsilon} provided each gate has error at most c{epsilon}. We show how this can be used with Shor`s fault tolerant operations to reduce the accuracy requirements when maintaining states not currently participating in the computation. Viewing Shor`s fault tolerant operations as a method for reducing the error of operations, we give a concatenated implementation which promises to propagate the reduction hierarchically. This has the potential of reducing the accuracy requirements in long computations.

Physical Description

18 p.

Notes

OSTI as DE96012853

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  • Other Information: PBD: May 1995

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  • Other: DE96012853
  • Report No.: LA-UR--96-2199
  • Grant Number: W-7405-ENG-36
  • DOI: 10.2172/258140 | External Link
  • Office of Scientific & Technical Information Report Number: 258140
  • Archival Resource Key: ark:/67531/metadc668526

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  • May 1, 1995

Added to The UNT Digital Library

  • June 29, 2015, 9:42 p.m.

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  • Feb. 29, 2016, 1:38 p.m.

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Knill, E.; Laflamme, R. & Zurek, W. Concatenated codes for fault tolerant quantum computing, report, May 1, 1995; New Mexico. (digital.library.unt.edu/ark:/67531/metadc668526/: accessed August 18, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.