4 papers · 1 filter
Computing Efficiently in QLDPC Codes
Alexander J. Malcolm, Andrew N. Glaudell, Patricio Fuentes +10
It is the prevailing belief that quantum error correcting techniques will be required to build a utility-scale quantum computer able to perform computations that are out of reach o…
Exact Synthesis of Multiqutrit Clifford-Cyclotomic Circuits
Andrew N. Glaudell, Neil J. Ross, John van de Wetering +1
It is known that the matrices that can be exactly represented by a multiqubit circuit over the Toffoli+Hadamard, Clifford+, or, more generally, Clifford-cyclotomic gate set are…
Exact Synthesis of Multiqubit Clifford-Cyclotomic Circuits
Matthew Amy, Andrew N. Glaudell, Shaun Kelso +3
Let be divisible by 4. The Clifford-cyclotomic gate set is the universal gate set obtained by extending the Clifford gates with the -rotation $T_n = \m…
Number-Theoretic Characterizations of Some Restricted Clifford+T Circuits
Matthew Amy, Andrew N. Glaudell, Neil J. Ross
Kliuchnikov, Maslov, and Mosca proved in 2012 that a unitary matrix can be exactly represented by a single-qubit Clifford+ circuit if and only if the entries of…