559 citations · 1.1k across the 21 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★ 10 cited
The phase/state duality in reversible circuit design
Matthew Amy, Neil J. Ross
The reversible implementation of classical functions accounts for the bulk of most known quantum algorithms. As a result, a number of reversible circuit constructions over the Clif…