Ability of stabilizer quantum error correction to protect itself from its own imperfection
- Creators
- Fujiwara, Yuichiro
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.
Additional Information
© 2014 American Physical Society. Received 8 September 2014; revised manuscript received 19 September 2014; published 1 December 2014.Attached Files
Published - PhysRevA.90.062304.pdf
Submitted - 1409.2559v4.pdf
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Additional details
- Eprint ID
- 53766
- Resolver ID
- CaltechAUTHORS:20150115-095307289
- Created
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2015-01-15Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field