title: Maximizing the Hilbert space for a finite number of distinguishable quantum states.
abstract: Given a particular quantum computing architecture, how might one optimize its resources to maximize its computing power? We consider quantum computers with a number of distinguishable quantum states, and entangled particles shared between those states. Hilbert-space dimensionality is linked to nonclassicality and, hence, quantum computing power. We find that qutrit-based quantum computers optimize the Hilbert-space dimensionality and so are expected to be more powerful than other qudit implementations. In going beyond qudits, we identify structures with much higher Hilbert-space dimensionalities.
authors.affiliation: Centre for Quantum Computer Technology, School of Physics, The University of New South Wales, Sydney, NSW 2052, Australia.
authors.forename: Andrew D
authors.initials: AD
authors.lastname: Greentree
authors.forename: S G
authors.initials: SG
authors.lastname: Schirmer
authors.forename: F
authors.initials: F
authors.lastname: Green
authors.forename: Lloyd C L
authors.initials: LC
authors.lastname: Hollenberg
authors.forename: A R
authors.initials: AR
authors.lastname: Hamilton
authors.forename: R G
authors.initials: RG
authors.lastname: Clark