학술논문
Interferometric Single-Shot Parity Measurement in an InAs-Al Hybrid Device
Document Type
Working Paper
Author
Aghaee, Morteza; Ramirez, Alejandro Alcaraz; Alam, Zulfi; Ali, Rizwan; Andrzejczuk, Mariusz; Antipov, Andrey; Astafev, Mikhail; Barzegar, Amin; Bauer, Bela; Becker, Jonathan; Bhaskar, Umesh Kumar; Bocharov, Alex; Boddapati, Srini; Bohn, David; Bommer, Jouri; Bourdet, Leo; Bousquet, Arnaud; Boutin, Samuel; Casparis, Lucas; Chapman, Benjamin James; Chatoor, Sohail; Christensen, Anna Wulff; Chua, Cassandra; Codd, Patrick; Cole, William; Cooper, Paul; Corsetti, Fabiano; Cui, Ajuan; Dalpasso, Paolo; Dehollain, Juan Pablo; de Lange, Gijs; de Moor, Michiel; Ekefjärd, Andreas; Dandachi, Tareq El; Saldaña, Juan Carlos Estrada; Fallahi, Saeed; Galletti, Luca; Gardner, Geoff; Govender, Deshan; Griggio, Flavio; Grigoryan, Ruben; Grijalva, Sebastian; Gronin, Sergei; Gukelberger, Jan; Hamdast, Marzie; Hamze, Firas; Hansen, Esben Bork; Heedt, Sebastian; Heidarnia, Zahra; Zamorano, Jesús Herranz; Ho, Samantha; Holgaard, Laurens; Hornibrook, John; Indrapiromkul, Jinnapat; Ingerslev, Henrik; Ivancevic, Lovro; Jensen, Thomas; Jhoja, Jaspreet; Jones, Jeffrey; Kalashnikov, Konstantin V.; Kallaher, Ray; Kalra, Rachpon; Karimi, Farhad; Karzig, Torsten; King, Evelyn; Kloster, Maren Elisabeth; Knapp, Christina; Kocon, Dariusz; Koski, Jonne; Kostamo, Pasi; Kumar, Mahesh; Laeven, Tom; Larsen, Thorvald; Lee, Jason; Lee, Kyunghoon; Leum, Grant; Li, Kongyi; Lindemann, Tyler; Looij, Matthew; Love, Julie; Lucas, Marijn; Lutchyn, Roman; Madsen, Morten Hannibal; Madulid, Nash; Malmros, Albert; Manfra, Michael; Mantri, Devashish; Markussen, Signe Brynold; Martinez, Esteban; Mattila, Marco; McNeil, Robert; Mei, Antonio B.; Mishmash, Ryan V.; Mohandas, Gopakumar; Mollgaard, Christian; Morgan, Trevor; Moussa, George; Nayak, Chetan; Nielsen, Jens Hedegaard; Nielsen, Jens Munk; Nielsen, William Hvidtfelt Padkær; Nijholt, Bas; Nystrom, Mike; O'Farrell, Eoin; Ohki, Thomas; Otani, Keita; Wütz, Brian Paquelet; Pauka, Sebastian; Petersson, Karl; Petit, Luca; Pikulin, Dima; Prawiroatmodjo, Guen; Preiss, Frank; Morejon, Eduardo Puchol; Rajpalke, Mohana; Ranta, Craig; Rasmussen, Katrine; Razmadze, David; Reentila, Outi; Reilly, David J.; Ren, Yuan; Reneris, Ken; Rouse, Richard; Sadovskyy, Ivan; Sainiemi, Lauri; Sanlorenzo, Irene; Schmidgall, Emma; Sfiligoj, Cristina; Shah, Mustafeez Bashir; Simoes, Kevin; Singh, Shilpi; Sinha, Sarat; Soerensen, Thomas; Sohr, Patrick; Stankevic, Tomas; Stek, Lieuwe; Stuppard, Eric; Suominen, Henri; Suter, Judith; Teicher, Sam; Thiyagarajah, Nivetha; Tholapi, Raj; Thomas, Mason; Toomey, Emily; Tracy, Josh; Turley, Michelle; Upadhyay, Shivendra; Urban, Ivan; Van Hoogdalem, Kevin; Van Woerkom, David J.; Viazmitinov, Dmitrii V.; Vogel, Dominik; Watson, John; Webster, Alex; Weston, Joseph; Winkler, Georg W.; Xu, Di; Yang, Chung Kai; Yucelen, Emrah; Zeisel, Roland; Zheng, Guoji; Zilke, Justin
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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 $\mu$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%.
Comment: 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
Comment: 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