Unitary 2-designs from random X- and Z-diagonal unitaries

DOI10.1063/1.4983266zbMath1364.81082arXiv1502.07514OpenAlexW3105207217WikidataQ57521727 ScholiaQ57521727MaRDI QIDQ5738699

Ciara Morgan, Andreas Winter, Yoshifumi Nakata, Christoph Hirche

Publication date: 12 June 2017

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

Full work available at URL: https://arxiv.org/abs/1502.07514

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Quantum computation (81P68) Analytic circuit theory (94C05) Many-body theory; quantum Hall effect (81V70) Random matrices (algebraic aspects) (15B52)

Related Items (8)

Explicit construction of exact unitary designs ⋮ Approximate unitary 3-designs from transvection Markov chains ⋮ Great antipodal sets on complex Grassmannian manifolds as designs with the smallest cardinalities ⋮ Approximate unitary \(t\)-designs by short random quantum circuits using nearest-neighbor and long-range gates ⋮ A graphical calculus for integration over random diagonal unitary matrices ⋮ Unitary 2-designs from random X- and Z-diagonal unitaries ⋮ One-shot randomized and nonrandomized partial decoupling ⋮ Antipodal sets and designs on unitary groups

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