LIPIcs.TQC.2013.235.pdf
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Distillation of Non-Stabilizer States for Universal Quantum Computation
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8th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2013)
Series: Leibniz International Proceedings in Informatics (LIPIcs)
Conference: Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC) - License:
Creative Commons Attribution 3.0 Unported license
- Publication Date: 2013-11-13
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Guillaume Duclos-Cianci and Krysta M. Svore. Distillation of Non-Stabilizer States for Universal Quantum Computation. In 8th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2013). Leibniz International Proceedings in Informatics (LIPIcs), Volume 22, pp. 235-243, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2013)
https://doi.org/10.4230/LIPIcs.TQC.2013.235
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.
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Keywords
- quantum computing
- resource estimation
- magic state distillation
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