311 citations · 1.2k across the 38 of their papers we have counts for
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quant-ph2021★ 5 cited
Generators and Relations for Real Stabilizer Operators
Justin Makary, Neil J. Ross, Peter Selinger
Real stabilizer operators, which are also known as real Clifford operators, are generated, through composition and tensor product, by the Hadamard gate, the Pauli Z gate, and the c…
quant-ph2021★ 4 cited
Generators and Relations for the Group On(Z[1/2])
Sarah Meng Li, Neil J. Ross, Peter Selinger
We give a finite presentation by generators and relations for the group O_n(Z[1/2]) of n-dimensional orthogonal matrices with entries in Z[1/2]. We then obtain a similar presentati…
quant-ph2021★ 5 cited
Generators and Relations for Un(Z[1/2,i])
Xiaoning Bian, Peter Selinger
Consider the universal gate set for quantum computing consisting of the gates X, CX, CCX, omega^dagger H, and S. All of these gates have matrix entries in the ring Z[1/2,i], the sm…