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. Hilbertspace dimensionality is linked to nonclassicality and, hence, quantum computing power. We find that qutritbased quantum computers optimize the Hilbertspace dimensionality and so are expected to be more powerful than other qudit implementations. In going beyond qudits, we identify structures with much higher Hilbertspace dimensionalities.
 Publication:

Physical Review Letters
 Pub Date:
 March 2004
 DOI:
 10.1103/PhysRevLett.92.097901
 arXiv:
 arXiv:quantph/0304050
 Bibcode:
 2004PhRvL..92i7901G
 Keywords:

 03.67.Mn;
 03.65.Ud;
 03.67.Lx;
 73.21.La;
 Entanglement production characterization and manipulation;
 Entanglement and quantum nonlocality;
 Quantum computation;
 Quantum dots;
 Quantum Physics
 EPrint:
 4 pages, 3 figures, submitted for publication