560 citations · 1k across the 9 of their papers we have counts for
9 papers
The geometry of quantum computation
Mark R. Dowling, Michael A. Nielsen
Determining the quantum circuit complexity of a unitary operation is closely related to the problem of finding minimal length paths in a particular curved geometry [Nielsen et al,…
How to observe a coherent superposition of an atom and a molecule
Mark R. Dowling, Stephen D. Bartlett, Terry Rudolph +1
We demonstrate that it is possible, in principle, to perform a Ramsey-type interference experiment to exhibit a coherent superposition of a single atom and a diatomic molecule. Thi…
Two qubits can be entangled in two distinct temperature regions
Dominic W. Berry, Mark R. Dowling
We have found that for a wide range of two-qubit Hamiltonians the canonical-ensemble thermal state is entangled in two distinct temperature regions. In most cases the ground state…
Quantum Computation as Geometry
Michael A. Nielsen, Mark R. Dowling, Mile Gu +1
Quantum computers hold great promise, but it remains a challenge to find efficient quantum circuits that solve interesting computational problems. We show that finding optimal quan…
Optimal control, geometry, and quantum computing
Michael A. Nielsen, Mark R. Dowling, Mile Gu +1
We prove upper and lower bounds relating the quantum gate complexity of a unitary operation, U, to the optimal control cost associated to the synthesis of U. These bounds apply for…
Entanglement of indistinguishable particles in condensed matter physics
Mark R. Dowling, Andrew C. Doherty, Howard M. Wiseman
The concept of entanglement in systems where the particles are indistinguishable has been the subject of much recent interest and controversy. In this paper we study the notion of…