Interferometric Single-Shot Parity Measurement in an InAs-Al Hybrid Device
Abstract
The fusion of non-Abelian anyons or topological defects is a fundamental operation in measurement-only topological quantum computation. In topological superconductors, this operation amounts to a determination of the shared fermion parity of Majorana zero modes. As a step towards this, we implement a single-shot interferometric measurement of fermion parity in indium arsenide-aluminum heterostructures with a gate-defined nanowire. The interferometer is formed by tunnel-coupling the proximitized nanowire to quantum dots. The nanowire causes a state-dependent shift of these quantum dots' quantum capacitance of up to 1 fF. Our quantum capacitance measurements show flux h/2e-periodic bimodality with a signal-to-noise ratio of 1 in 3.7 s at optimal flux values. From the time traces of the quantum capacitance measurements, we extract a dwell time in the two associated states that is longer than 1 ms at in-plane magnetic fields of approximately 2 T. These results are consistent with a measurement of the fermion parity encoded in a pair of Majorana zero modes that are separated by approximately 3 m and subjected to a low rate of poisoning by non-equilibrium quasiparticles. The large capacitance shift and long poisoning time enable a parity measurement error probability of 1%.
Keywords
Cite
@article{arxiv.2401.09549,
title = {Interferometric Single-Shot Parity Measurement in an InAs-Al Hybrid Device},
author = {Morteza Aghaee and Alejandro Alcaraz Ramirez and Zulfi Alam and Rizwan Ali and Mariusz Andrzejczuk and Andrey Antipov and Mikhail Astafev and Amin Barzegar and Bela Bauer and Jonathan Becker and Umesh Kumar Bhaskar and Alex Bocharov and Srini Boddapati and David Bohn and Jouri Bommer and Leo Bourdet and Arnaud Bousquet and Samuel Boutin and Lucas Casparis and Benjamin James Chapman and Sohail Chatoor and Anna Wulff Christensen and Cassandra Chua and Patrick Codd and William Cole and Paul Cooper and Fabiano Corsetti and Ajuan Cui and Paolo Dalpasso and Juan Pablo Dehollain and Gijs de Lange and Michiel de Moor and Andreas Ekefjärd and Tareq El Dandachi and Juan Carlos Estrada Saldaña and Saeed Fallahi and Luca Galletti and Geoff Gardner and Deshan Govender and Flavio Griggio and Ruben Grigoryan and Sebastian Grijalva and Sergei Gronin and Jan Gukelberger and Marzie Hamdast and Firas Hamze and Esben Bork Hansen and Sebastian Heedt and Zahra Heidarnia and Jesús Herranz Zamorano and Samantha Ho and Laurens Holgaard and John Hornibrook and Jinnapat Indrapiromkul and Henrik Ingerslev and Lovro Ivancevic and Thomas Jensen and Jaspreet Jhoja and Jeffrey Jones and Konstantin V. Kalashnikov and Ray Kallaher and Rachpon Kalra and Farhad Karimi and Torsten Karzig and Evelyn King and Maren Elisabeth Kloster and Christina Knapp and Dariusz Kocon and Jonne Koski and Pasi Kostamo and Mahesh Kumar and Tom Laeven and Thorvald Larsen and Jason Lee and Kyunghoon Lee and Grant Leum and Kongyi Li and Tyler Lindemann and Matthew Looij and Julie Love and Marijn Lucas and Roman Lutchyn and Morten Hannibal Madsen and Nash Madulid and Albert Malmros and Michael Manfra and Devashish Mantri and Signe Brynold Markussen and Esteban Martinez and Marco Mattila and Robert McNeil and Antonio B. Mei and Ryan V. Mishmash and Gopakumar Mohandas and Christian Mollgaard and Trevor Morgan and George Moussa and Chetan Nayak and Jens Hedegaard Nielsen and Jens Munk Nielsen and William Hvidtfelt Padkær Nielsen and Bas Nijholt and Mike Nystrom and Eoin O'Farrell and Thomas Ohki and Keita Otani and Brian Paquelet Wütz and Sebastian Pauka and Karl Petersson and Luca Petit and Dima Pikulin and Guen Prawiroatmodjo and Frank Preiss and Eduardo Puchol Morejon and Mohana Rajpalke and Craig Ranta and Katrine Rasmussen and David Razmadze and Outi Reentila and David J. Reilly and Yuan Ren and Ken Reneris and Richard Rouse and Ivan Sadovskyy and Lauri Sainiemi and Irene Sanlorenzo and Emma Schmidgall and Cristina Sfiligoj and Mustafeez Bashir Shah and Kevin Simoes and Shilpi Singh and Sarat Sinha and Thomas Soerensen and Patrick Sohr and Tomas Stankevic and Lieuwe Stek and Eric Stuppard and Henri Suominen and Judith Suter and Sam Teicher and Nivetha Thiyagarajah and Raj Tholapi and Mason Thomas and Emily Toomey and Josh Tracy and Michelle Turley and Shivendra Upadhyay and Ivan Urban and Kevin Van Hoogdalem and David J. Van Woerkom and Dmitrii V. Viazmitinov and Dominik Vogel and John Watson and Alex Webster and Joseph Weston and Georg W. Winkler and Di Xu and Chung Kai Yang and Emrah Yucelen and Roland Zeisel and Guoji Zheng and Justin Zilke},
journal= {arXiv preprint arXiv:2401.09549},
year = {2025}
}
Comments
Added data on a second measurement of device A and a measurement of device B, expanded discussion of a trivial scenario. Refs added, author list updated