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.
Description
SciPost: SciPost Phys. Core 3, 014 (2020) - Holonomic implementation of CNOT gate on topological Majorana qubits
%0 Journal Article
%1 Calzona_2020
%A Calzona, Alessio
%A Bauer, Nicolas
%A Trauzettel, Björn
%D 2020
%I Stichting SciPost
%J SciPost Phys. Core
%K a
%N 2
%P 014
%R 10.21468/scipostphyscore.3.2.014
%T Holonomic implementation of CNOT gate on topological Majorana qubits
%U https://doi.org/10.21468%2Fscipostphyscore.3.2.014
%V 3
%X 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.
@article{Calzona_2020,
abstract = {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.},
added-at = {2023-10-06T15:33:33.000+0200},
author = {Calzona, Alessio and Bauer, Nicolas and Trauzettel, Björn},
biburl = {https://www.bibsonomy.org/bibtex/2cb68cecce9e8f0bf71d4df6fff1c5e09/ctqmat},
day = 03,
description = {SciPost: SciPost Phys. Core 3, 014 (2020) - Holonomic implementation of CNOT gate on topological Majorana qubits},
doi = {10.21468/scipostphyscore.3.2.014},
interhash = {eb8303a06ac032c305fddddd6ba0a7cd},
intrahash = {cb68cecce9e8f0bf71d4df6fff1c5e09},
journal = {SciPost Phys. Core},
keywords = {a},
month = {12},
number = 2,
pages = 014,
publisher = {Stichting SciPost},
timestamp = {2023-10-17T09:35:37.000+0200},
title = {Holonomic implementation of CNOT gate on topological Majorana qubits},
url = {https://doi.org/10.21468%2Fscipostphyscore.3.2.014},
volume = 3,
year = 2020
}