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Ability of stabilizer quantum error correction to protect itself from its own imperfection

Fujiwara, Yuichiro (2014) Ability of stabilizer quantum error correction to protect itself from its own imperfection. Physical Review A, 90 (6). Art. No. 062304. ISSN 1050-2947. http://resolver.caltech.edu/CaltechAUTHORS:20150115-095307289

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Abstract

The theory of stabilizer quantum error correction allows us to actively stabilize quantum states and simulate ideal quantum operations in a noisy environment. It is critical to correctly diagnose noise from its syndrome and nullify it accordingly. However, hardware that performs quantum error correction itself is inevitably imperfect in practice. Here, we show that stabilizer codes possess a built-in capability to correct errors not only on quantum information but also on faulty syndromes extracted by themselves. Shor's syndrome extraction for fault-tolerant quantum computation is naturally improved. This opens a path to realizing the potential of stabilizer quantum error correction hidden within an innocent-looking choice of generators and stabilizer operators that have been deemed redundant.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevA.90.062304DOIArticle
http://journals.aps.org/pra/abstract/10.1103/PhysRevA.90.062304PublisherArticle
http://arxiv.org/abs/1409.2559arXivDiscussion Paper
Additional Information:© 2014 American Physical Society. Received 8 September 2014; revised manuscript received 19 September 2014; published 1 December 2014.
Classification Code:PACS number(s): 03.67.Pp, 03.67.Lx
Record Number:CaltechAUTHORS:20150115-095307289
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20150115-095307289
Official Citation:Fujiwara, Y. (2014). Ability of stabilizer quantum error correction to protect itself from its own imperfection. Physical Review A, 90(6), 062304.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:53766
Collection:CaltechAUTHORS
Deposited By: Jason Perez
Deposited On:15 Jan 2015 19:12
Last Modified:22 Sep 2015 23:15

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