Representations of the multi-qubit Clifford group

DOI10.1063/1.4997688zbMath1394.81058arXiv1609.08188OpenAlexW3103788342WikidataQ129516855 ScholiaQ129516855MaRDI QIDQ4583101

Stephanie Wehner, Joel J. Wallman, Jonas Helsen

Publication date: 27 August 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.08188

Mathematics Subject Classification ID

Quantum computation (81P68) Spinor and twistor methods applied to problems in quantum theory (81R25) Clifford algebras, spinors (15A66) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (4)

Constructive simulation and topological design of protocols ⋮ Efficient unitary designs with a system-size independent number of non-Clifford gates ⋮ Schur-Weyl duality for the Clifford group with applications: property testing, a robust Hudson theorem, and de Finetti representations ⋮ Rank-deficient representations in the theta correspondence over finite fields arise from quantum codes

Cites Work

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• An ideal characterization of the Clifford operators
• Randomized benchmarking with confidence
• Evenly distributed unitaries: On the structure of unitary designs
• Large deviation bounds for k -designs
• Symmetry, Representations, and Invariants
• Quantum data hiding

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