Anticoherent k-planes and coding techniques for a 3-qubit scheme of universal quantum computing

2025/09/27 by Aragón-Muñoz, L., Chryssomalakos, C., Flores-Delgado, A. G. +2
#FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2509.23464

Abstract

Toponomic quantum computing (TQC) employs rotation sequences of anticoherent k-planes to construct noise-tolerant quantum gates. In this work, we demonstrate the implementation of generalized Toffoli gates, using k-planes of spin systems with s ≥ k + 1, and of the Hadamard gate for a 3-qubit system, using a spin s = 15 8-plane. We propose a universal quantum computing scheme for 3-qubit systems (via Hadamard + Toffoli gates) based on coding techniques. A key advantage of this construction is its inherent robustness against noise: apart from reparametrization invariance, our scheme is characterized by immunity to arbitrarily large deformations of the path in (rotational) parameter space.

Citations

• A Simple Proof that Toffoli and Hadamard are Quantum Universal
• Both Toffoli and Controlled-NOT need little help to do universal quantum computation
• Quantal phase factors accompanying adiabatic changes
• Atomi orientati in campo magnetico variabile

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