695 citations · 841 across the 8 of their papers we have counts for
Showing 2006 · quant-phShow all
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quant-ph2006★ 67 cited
Qudit surface codes and gauge theory with finite cyclic groups
Stephen S. Bullock, Gavin K. Brennen
Surface codes describe quantum memory stored as a global property of interacting spins on a surface. The state space is fixed by a complete set of quasi-local stabilizer operators…
quant-ph2006★ 1 cited
Projecting onto Qubit Irreps of Young Diagrams
Stephen S Bullock
Let K be the diagonal subgroup of U(2)^{(x)n}. We may view the one-qubit state-space H_1 as a standard representation of U(2) and the n-qubit state space H_n=(H_1)^{(x) n} as the n…
quant-ph2006★ 64 cited
Parallelism for Quantum Computation with Qudits
Dianne P. O'Leary, Gavin K. Brennen, Stephen S. Bullock
Robust quantum computation with d-level quantum systems (qudits) poses two requirements: fast, parallel quantum gates and high fidelity two-qudit gates. We first describe how to im…