Super-Golden-Gates for \(PU(2)\)

DOI10.1016/j.aim.2017.06.022zbMath1383.81059arXiv1704.02106OpenAlexW2607354129WikidataQ110907603 ScholiaQ110907603MaRDI QIDQ1701020

Ori Parzanchevski, Peter C. Sarnak

Publication date: 22 February 2018

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.02106

zbMATH Keywords

unitary groupsstrong approximationquantum computingRamanujan conjectures

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Quantum computation (81P68) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (16)

How smooth is quantum complexity? ⋮ Ramanujan complexes and golden gates in \(PU(3)\) ⋮ Cutoff on graphs and the Sarnak-Xue density of eigenvalues ⋮ Quantitative equidistribution of angles of multipliers ⋮ Optimal topological generators of \(U(1)\) ⋮ Counting intrinsic Diophantine approximations in simple algebraic groups ⋮ Optimal Diophantine exponents for \(\mathrm{SL}(n)\) ⋮ A normal form for single-qudit Clifford+\(T\) operators ⋮ Density theorems for \(\mathrm{GL}(n)\) ⋮ Unnamed Item ⋮ Ramanujan Graphs for Post-Quantum Cryptography ⋮ Angles of Gaussian primes ⋮ The exact convergence rate in the ergodic theorem of Lubotzky-Phillips-Sarnak and a universal lower bound on discrepancies ⋮ The Ramanujan conjecture and its applications ⋮ From Ramanujan graphs to Ramanujan complexes ⋮ Cutoff on hyperbolic surfaces

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