695 citations · 707 across the 4 of their papers we have counts for
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Efficient Circuits for Exact-Universal Computations with Qudits
Gavin K. Brennen, Stephen S. Bullock, Dianne P. O'Leary
This paper concerns the efficient implementation of quantum circuits for qudits. We show that controlled two-qudit gates can be implemented without ancillas and prove that the gate…
Synthesis of Quantum Logic Circuits
Vivek V. Shende, Stephen S. Bullock, Igor L. Markov
We discuss efficient quantum logic circuits which perform two tasks: (i) implementing generic quantum computations and (ii) initializing quantum registers. In contrast to conventio…
Note on the Khaneja Glaser Decomposition
Stephen S Bullock
Recently, Vatan and Williams utilize a matrix decomposition of SU(2^n) introduced by Khaneja and Glaser to produce CNOT-efficient circuits for arbitrary three-qubit unitary evoluti…
Smaller Circuits for Arbitrary n-qubit Diagonal Computations
Stephen S. Bullock, Igor L. Markov
A unitary operator U=\sum u_{j,k} |k><j| is called diagonal when u_{j,k}=0 unless j=k. The definition extends to quantum computations, where j and k vary over the 2^n binary expres…