2003/04/06 by Andrew D. Greentree, S. G. Schirmer, F. Green +4 · 99 citations
Computer Science · Physics and Astronomy · #Artificial intelligence #Computer science #Curse of dimensionality #Hilbert space #Open quantum system #Physics #Projective Hilbert space #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum computer #Quantum information #Quantum mechanics #Quantum operation #Quantum state #Qubit #Qutrit #SIC-POVM #Space (punctuation) #Theoretical computer science #Unitary operator #quant-ph
paper · pdf · doi:10.1103/physrevlett.92.097901
published in Physical Review Letters 92(9), 097901 (American Physical Society) · 4 pages, 3 figures, submitted for publication
arxiv created 2003/04/06 · openalex publication_date 2004/03/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.