Holonomic implementation of CNOT gate on topological Majorana qubits

Calzona, Alessio; Bauer, Nicolas; Trauzettel, Björn

doi:10.21468/SciPostPhysCore.3.2.014

SciPost Physics Core

Holonomic implementation of CNOT gate on topological Majorana qubits

Alessio Calzona, Nicolas P. Bauer, Björn Trauzettel

SciPost Phys. Core 3, 014 (2020) · published 3 December 2020

doi: 10.21468/SciPostPhysCore.3.2.014
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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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.3.2.014
TI  - Holonomic implementation of CNOT gate on topological Majorana qubits
PY  - 2020/12/03
UR  - https://scipost.org/SciPostPhysCore.3.2.014
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 3
IS  - 2
SP  - 014
A1  - Calzona, Alessio
AU  - Bauer, Nicolas
AU  - Trauzettel, Björn
AB  - 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.
ER  -

@Article{10.21468/SciPostPhysCore.3.2.014,
	title={{Holonomic implementation of CNOT gate on topological Majorana qubits}},
	author={Alessio Calzona and Nicolas P. Bauer and Björn Trauzettel},
	journal={SciPost Phys. Core},
	volume={3},
	pages={014},
	year={2020},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.3.2.014},
	url={https://scipost.org/10.21468/SciPostPhysCore.3.2.014},
}

Cited by 6

Authors / Affiliations: mappings to Contributors and Organizations

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¹ Alessio Calzona,
¹ Nicolas Bauer,
¹ ² Björn Trauzettel

Funder for the research work leading to this publication

Deutsche Forschungsgemeinschaft / German Research FoundationDeutsche Forschungsgemeinschaft [DFG]