2012/02/29 by Hussain Anwar, Earl T. Campbell, Dan E. Browne · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Combinatorics #Computation #Computer science #MAGIC (telescope) #Mathematics #Physics #Protocol (science) #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum computer #Quantum mechanics #Qubit #Qutrit #Stabilizer (aeronautics) #State (computer science) #Superposition principle #Topology (electrical circuits) #Unitary state #quant-ph
paper · pdf · doi:10.1088/1367-2630/14/6/063006
published as New J. Phys. 14 063006 (2012) · 13 pages, 5 figures
openalex publication_date 2012/06/07 · arxiv created 2012/06/08 · arxiv updated 2012/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Magic state distillation (MSD) is a purification protocol that plays an important role in fault-tolerant quantum computation. Repeated iteration of the steps of an MSD protocol generates pure single non-stabilizer states, or magic states, from multiple copies of a mixed resource state using stabilizer operations only. Thus mixed resource states promote the stabilizer operations to full universality. MSD was introduced for qubit-based quantum computation, but little has been known concerning MSD in higher-dimensional qudit-based computation. Here, we describe a general approach for studying MSD in higher dimensions. We use it to investigate the features of a qutrit MSD protocol based on the five-qutrit stabilizer code. We show that this protocol distils non-stabilizer magic states, and identify two types of states that are attractors of this iteration map. Finally, we show how these states may be converted, via stabilizer circuits alone, into a state suitable for state-injected implementation of a non-Clifford phase gate, enabling non-Clifford unitary computation.