Representations of the multi-qubit Clifford group

Jonas Helsen; Joel J. Wallman; Stephanie Wehner

doi:10.1063/1.4997688

Representations of the multi-qubit Clifford group

Jonas Helsen^*, Joel J. Wallman, Stephanie Wehner

^*Corresponding author for this work

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Abstract

The q-qubit Clifford group, that is, the normalizer of the q-qubit Pauli group in U(2^q), is a fundamental structure in quantum information with a wide variety of applications. We characterize all irreducible subrepresentations of the two-copy representation φ^⊗2 of the Clifford group on the two-fold tensor product of the space of linear operators M2q⊗2. In the companion paper [Helsen et al., e-print arXiv:1701.04299 (2017)], we apply this result to improve the statistics of randomized benchmarking, a method for characterizing quantum systems.

Original language	English
Article number	072201
Journal	Journal of Mathematical Physics
Volume	59
Issue number	7
DOIs	https://doi.org/10.1063/1.4997688
Publication status	Published - Jul 2018

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Representations of the multi-qubit Clifford group

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