Clifford operators in SU(N)1; N not odd prime

Abstract

Farinholt gives a characterization of Clifford operators for qudits; d both odd and even. In this comment it is shown that the necessary gates for the construction of Clifford operators; N both odd and even, are obtained directly from operations that appear in SU(N)1. A witness for W3 states in SU(2)1 is discussed. See e.g. [1-4].

arXiv comment9 pages

References in corpus (12)

• Universal Quantum Computation with ideal Clifford gates and noisy ancillas
• The Resource Theory of Stabilizer Computation
• Entanglement Detection in the Stabilizer Formalism
• Novel constructions for the fault-tolerant Toffoli gate
• Quantum computation with realistic magic state factories
• Qudit versions of the qubit "pi-over-eight" gate
• Conformal field theories are magical
• Generalized Toffoli gates using qudit catalysis
• Distilling one-qubit magic states into Toffoli states
• Entanglement from Topology in Chern-Simons Theory
• New techniques for fault-tolerant decomposition of Multi-Controlled Toffoli gate
• Hyperentanglement witness

Cited by in corpus (1)

• Hypergraph States in SU(N)1, N odd prime, Chern-Simons Theory