Maximizing the Hilbert space for a finite number of distinguishable quantum states.
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.
Greentree
Andrew D
AD
Centre for Quantum Computer Technology, School of Physics, The University of New South Wales, Sydney, NSW 2052, Australia.
Schirmer
S G
SG
Green
F
F
Hollenberg
Lloyd C L
LC
Hamilton
A R
AR
Clark
R G
RG