Creative Commons Attribution 3.0 Unported license (CC-BY 3.0)when quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.TQC.2013.235
URN: urn:nbn:de:0030-drops-43233
URL: https://drops.dagstuhl.de/opus/volltexte/2013/4323/
Duclos-Cianci, Guillaume ; Svore, Krysta M.
Distillation of Non-Stabilizer States for Universal Quantum Computation
| pdf-format: |
|
Abstract
Magic state distillation is a fundamental technique for realizing fault-tolerant universal quantum computing, and produces high-fidelity Clifford eigenstates, called magic states, which can be used to implement the non-Clifford pi/8 gate. We propose an efficient protocol for distilling other non-stabilizer states that requires only Clifford operations, measurement, and magic states. One critical application of our protocol is efficiently and fault tolerantly implementing arbitrary, non-Clifford, single-qubit rotations in average constant online circuit depth and polylogarithmic (in precision) offline resource cost, resulting in significant improvements over state-of-the-art decomposition techniques. Finally, we show that our protocol is robust to noise in the resource states.
BibTeX - Entry
@InProceedings{ducloscianci_et_al:LIPIcs:2013:4323,
author = {Guillaume Duclos-Cianci and Krysta M. Svore},
title = {{Distillation of Non-Stabilizer States for Universal Quantum Computation}},
booktitle = {8th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2013)},
pages = {235--243},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-939897-55-2},
ISSN = {1868-8969},
year = {2013},
volume = {22},
editor = {Simone Severini and Fernando Brandao},
publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
address = {Dagstuhl, Germany},
URL = {http://drops.dagstuhl.de/opus/volltexte/2013/4323},
URN = {urn:nbn:de:0030-drops-43233},
doi = {10.4230/LIPIcs.TQC.2013.235},
annote = {Keywords: quantum computing, resource estimation, magic state distillation}
}
| Keywords: | quantum computing, resource estimation, magic state distillation | |
| Seminar: | 8th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2013) | |
| Issue date: | 2013 | |
| Date of publication: | 13.11.2013 |
