148 citations · 399 across the 15 of their papers we have counts for
8 papers · 1 filter
Quadratic fermionic interactions yield effective Hamiltonians for adiabatic quantum computing
Michael J. O'Hara, Dianne P. O'Leary
Polynomially-large ground-state energy gaps are rare in many-body quantum systems, but useful for adiabatic quantum computing. We show analytically that the gap is generically poly…
Bounds on Effective Hamiltonians for Stabilizer Codes
Stephen S. Bullock, Dianne P. O'Leary
This manuscript introduces various notions of k-locality of stabilizer codes inherited from the associated stabilizer groups. A choice of generators for the group leads to a Hamilt…
The adiabatic theorem in the presence of noise
Michael J. O'Hara, Dianne P. O'Leary
We provide rigorous bounds for the error of the adiabatic approximation of quantum mechanics under four sources of experimental error: perturbations in the initial condition, syste…
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…
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…
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…