695 citations · 2k across the 49 of their papers we have counts for
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quant-ph2003★ 59 cited
Recognizing Small-Circuit Structure in Two-Qubit Operators and Timing Hamiltonians to Compute Controlled-Not Gates
Vivek V. Shende, Stephen S. Bullock, Igor L. Markov
This work proposes numerical tests which determine whether a two-qubit operator has an atypically simple quantum circuit. Specifically, we describe formulae, written in terms of ma…
quant-ph2003★ 297 cited
Minimal Universal Two-qubit Quantum Circuits
Vivek V. Shende, Igor L. Markov, Stephen S. Bullock
We give quantum circuits that simulate an arbitrary two-qubit unitary operator up to global phase. For several quantum gate libraries we prove that gate counts are optimal in worst…