2020/08/31 by Alessio Calzona, Nicolas P. Bauer, Björn Trauzettel
Mathematics · Physics and Astronomy · #Controlled NOT gate #Holonomic #MAJORANA #Mathematics #Physics #Quantum #Quantum and electron transport phenomena #Quantum computer #Quantum entanglement #Quantum gate #Quantum many-body systems #Quantum mechanics #Qubit #Superconductivity #Topological Materials and Phenomena #Topology (electrical circuits) #cond-mat.mes-hall #cond-mat.supr-con #quant-ph
paper · pdf · doi:10.21468/scipostphyscore.3.2.014
published as SciPost Phys. Core 3, 014 (2020) · 22 pages, 6 figures
openalex publication_date 2020/12/03 · arxiv created 2020/12/14 · arxiv updated 2020/12/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
The CNOT gate is a two-qubit gate which is essential for universal quantum computation. A well-established approach to implement it within Majorana-based qubits relies on subsequent measurement of (joint) Majorana parities. We propose an alternative scheme which operates a protected CNOT gate via the holonomic control of a handful of system parameters, without requiring any measurement. We show how the adiabatic tuning of pair-wise couplings between Majoranas can robustly lead to the full entanglement of two qubits, insensitive with respect to small variations in the control of the parameters.