Interferometric Single-Shot Parity Measurement in an InAs-Al Hybrid Device

  • M. Aghaee ,
  • Alejandro Alcaraz Ramirez ,
  • Zulfi Alam ,
  • Rizwan Ali ,
  • Mariusz Andrzejczuk ,
  • ,
  • M. Astafev ,
  • Amin Barzegar ,
  • ,
  • Jonathan Becker ,
  • U. Bhaskar ,
  • ,
  • S. Boddapati ,
  • David Bohn ,
  • Jouri D. S. Bommer ,
  • L. Bourdet ,
  • Arnaud Bousquet ,
  • Samuel Boutin ,
  • ,
  • Benjamin James Chapman ,
  • S. Chatoor ,
  • Anna Wulff Christensen ,
  • Cassandra Chua ,
  • Patrick Codd ,
  • William Cole ,
  • Paul Cooper ,
  • Fabiano Corsetti ,
  • Ajuan Cui ,
  • Paolo Dalpasso ,
  • J. P. Dehollain ,
  • ,
  • M. Moor ,
  • Andreas Ekefjard ,
  • Tareq El Dandachi ,
  • J. C. E. Saldaña ,
  • S. Fallahi ,
  • L. Galletti ,
  • ,
  • D. Govender ,
  • F. Griggio ,
  • ,
  • Sebastian Grijalva ,
  • ,
  • ,
  • Marzie Hamdast ,
  • Firasamine Hamze ,
  • Esben Bork Hansen ,
  • ,
  • Zahra Heidarnia ,
  • Jes'us Herranz Zamorano ,
  • Samantha Ho ,
  • Laurens Holgaard ,
  • John Hornibrook ,
  • Jinnapat Indrapiromkul ,
  • Henrik Ingerslev ,
  • Lovro Ivancevic ,
  • Thomas Jensen ,
  • Jaspreet Jhoja ,
  • Jeffrey Jones ,
  • Konstantin V. Kalashnikov ,
  • ,
  • R. Kalra ,
  • Farhad Karimi ,
  • ,
  • Evelyn King ,
  • M. E. Kloster ,
  • Christina Knapp ,
  • D. Kocoń ,
  • J. Koski ,
  • P. Kostamo ,
  • Mahesh Kumar ,
  • T. Laeven ,
  • T. Larsen ,
  • Jason Lee ,
  • Kyunghoon Lee ,
  • Grant Leum ,
  • Kongyi Li ,
  • T. Lindemann ,
  • Matthew Looij ,
  • J. Love ,
  • Marijn Lucas ,
  • ,
  • Morten Hannibal Madsen ,
  • Nash Madulid ,
  • Albert Malmros ,
  • M. Manfra ,
  • Devashish Mantri ,
  • S. Markussen ,
  • Esteban Martinez ,
  • Marco Mattila ,
  • R. McNeil ,
  • Antonio Rodolph Mei ,
  • R. Mishmash ,
  • Gopakumar Mohandas ,
  • Christian Mollgaard ,
  • Trevor Morgan ,
  • George Moussa ,
  • ,
  • Jens Nielsen ,
  • Jens Munk Nielsen ,
  • ,
  • B. Nijholt ,
  • Mike Nystrom ,
  • ,
  • Thomas Ohki ,
  • K. Otani ,
  • Brian Paquelet Wutz ,
  • S. Pauka ,
  • ,
  • Luca Petit ,
  • D. Pikulin ,
  • G. Prawiroatmodjo ,
  • F. Preiss ,
  • Eduardo Puchol Morejon ,
  • Mohana Rajpalke ,
  • Craig Ranta ,
  • K. Rasmussen ,
  • David Razmadze ,
  • Outi Reentila ,
  • David Reilly ,
  • Yuan Ren ,
  • Ken Reneris ,
  • Richard Rouse ,
  • ,
  • L. Sainiemi ,
  • I. Sanlorenzo ,
  • E. Schmidgall ,
  • Cristina Sfiligoj ,
  • Mustafeez Bashir Shah ,
  • Kevin Simoes ,
  • Shilpi Singh ,
  • Sarat Sinha ,
  • Thomas Soerensen ,
  • P. Sohr ,
  • T. Stankevič ,
  • Lieuwe Stek ,
  • Eric Stuppard ,
  • H. Suominen ,
  • ,
  • Sam Teicher ,
  • Nivetha Thiyagarajah ,
  • R. Tholapi ,
  • ,
  • Emily A Toomey ,
  • Josh Tracy ,
  • Michelle Turley ,
  • Shivendra Upadhyay ,
  • Ivica Urban ,
  • ,
  • ,
  • D. Viazmitinov ,
  • Dominik Vogel ,
  • John Watson ,
  • Alex Webster ,
  • Joseph Weston ,
  • ,
  • Di Xu ,
  • ,
  • ,
  • R. Zeisel ,
  • Guoji Zheng ,
  • Justin Zilke

arXiv

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 $\mu$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 $\mu$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%.