695 citations · 841 across the 8 of their papers we have counts for
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Asymptotically Optimal Quantum Circuits for d-level Systems
Stephen S. Bullock, Dianne P. O'Leary, Gavin K. Brennen
As a qubit is a two-level quantum system whose state space is spanned by |0>, |1>, so a qudit is a d-level quantum system whose state space is spanned by |0>,...,|d-1>. Quantum com…
Criteria for Exact Qudit Universality
Gavin K. Brennen, Dianne P. O'Leary, Stephen S. Bullock
We describe criteria for implementation of quantum computation in qudits. A qudit is a d-dimensional system whose Hilbert space is spanned by states |0>, |1>,... |d-1>. An importan…
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…
Stability of global entanglement in thermal states of spin chains
Gavin K. Brennen, Stephen S. Bullock
We investigate the entanglement properties of a one dimensional chain of spin qubits coupled via nearest neighbor interactions. The entanglement measure used is the n-concurrence,…
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…
Time Reversal and n-qubit Canonical Decompositions
Stephen S. Bullock, Gavin K. Brennen, Dianne P. O'Leary
For n an even number of qubits and v a unitary evolution, a matrix decomposition v=k1 a k2 of the unitary group is explicitly computable and allows for study of the dynamics of the…