Solovay-kitaev decomposition strategy for single-qubit channels

Dong Sheng Wang; Dominic W. Berry; Marcos C. De Oliveira; Barry C. Sanders

doi:10.1103/PhysRevLett.111.130504

Solovay-kitaev decomposition strategy for single-qubit channels

Dong Sheng Wang^*, Dominic W. Berry, Marcos C. De Oliveira, Barry C. Sanders

^*Corresponding author for this work

Macquarie University Research Centre in Quantum Science and Technology

Research output: Contribution to journal › Article › peer-review

51 Citations (Scopus)

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Abstract

Inspired by the Solovay-Kitaev decomposition for approximating unitary operations as a sequence of operations selected from a universal quantum computing gate set, we introduce a method for approximating any single-qubit channel using single-qubit gates and the controlled-not (cnot). Our approach uses the decomposition of the single-qubit channel into a convex combination of "quasiextreme" channels. Previous techniques for simulating general single-qubit channels would require as many as 20 cnot gates, whereas ours only needs one, bringing it within the range of current experiments.

Original language	English
Article number	130504
Pages (from-to)	1-5
Number of pages	5
Journal	Physical Review Letters
Volume	111
Issue number	13
DOIs	https://doi.org/10.1103/PhysRevLett.111.130504
Publication status	Published - 25 Sept 2013

Bibliographical note

Wang, D. S., de Oliveira, M. C., Berry, D. W., & Sanders, B. C. (2013). Solovay-Kitaev Decomposition Strategy for Single-Qubit Channels. Physical review letters, 111(13), 130504, 2013. Copyright 2013 by the American Physical Society. The original article can be found at http://dx.doi.org/10.1103/PhysRevLett.111.130504

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Solovay-kitaev decomposition strategy for single-qubit channels

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