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Motivated by recent experimental progress towards the measurement and manipulation of Majorana fermions with superconducting circuits, we propose a device interfacing Majorana fermions with circuit quantum electrodynamics. The proposed…

Quantum Physics · Physics 2013-12-04 Clemens Müller , Jérôme Bourassa , Alexandre Blais

Coupling Majorana fermion excitations to coherent external fields is an important stage towards their manipulation and detection. We analyse the charge and transmon regimes of a topological nano-wire embedded within a Cooper-Pair-Box, where…

Mesoscale and Nanoscale Physics · Physics 2014-09-16 Eran Ginossar , Eytan Grosfeld

In a recent experiment, flux dependent oscillations of the quantum capacitance were observed in a one dimensional spin-orbit coupled semiconductor superconductor heterostructure connected end to end via a quantum dot and threaded by a…

Mesoscale and Nanoscale Physics · Physics 2025-05-30 Tudor D. Stanescu , Sumanta Tewari

Eigenstate-preserving multi-qubit parity measurements lie at the heart of stabilizer quantum error correction, which is a promising approach to mitigate the problem of decoherence in quantum computers. In this work we explore a…

Quantum Physics · Physics 2019-11-07 Patrick Huembeli , Simon E. Nigg

We propose a scheme for extracting entangled charge qubits from quantum-dot chains that support zero-energy edge modes. The edge mode is composed of Majorana fermions localized at the ends of each chain. The qubit, logically encoded in…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Li Dai , Watson Kuo , Ming-Chiang Chung

Zero energy Majorana fermion states (Majoranas) can arise at the ends of a semiconducting wire in proximity with a superconductor. A first generation of experiments has detected a zero bias conductance peak in these systems that strongly…

Strongly Correlated Electrons · Physics 2013-12-25 F. J. Burnell , Alexander Shnirman , Yuval Oreg

We analyze a direct parity measurement of the state of three superconducting qubits in circuit quantum electrodynamics. The parity is inferred from a homodyne measurement of the reflected/transmitted microwave radiation and the measurement…

Quantum Physics · Physics 2014-03-19 L. Tornberg , Sh. Barzanjeh , David P. DiVincenzo

Majorana qubits offer a promising way to store and manipulate quantum information by encoding it into the state of Majorana zero modes. As the information is stored in a topological property of the system, local noise cannot lead to…

Mesoscale and Nanoscale Physics · Physics 2015-03-05 Christoph Ohm , Fabian Hassler

We study the flux-dependent quantum inductance of a one-dimensional (1D) semiconductor-superconductor (SM-SC) Majorana nanowire coupled to a quantum dot in an interferometric setup. Although quantum capacitance in this setup enables fast…

Mesoscale and Nanoscale Physics · Physics 2026-03-13 Binayyak B. Roy , Jay D. Sau , Sumanta Tewari

We present a quantum self-testing protocol to certify measurements of fermion parity involving Majorana fermion modes. We show that observing a set of ideal measurement statistics implies anti-commutativity of the implemented Majorana…

Quantum Physics · Physics 2020-03-18 Abu Ashik Md. Irfan , Karl Mayer , Gerardo Ortiz , Emanuel Knill

We propose a scheme to implement Controlled Not-gate for topological qubits in a quantum-dot-Majorana-fermion hybrid system. Quantum information is encoded on pairs of Majorana fermions, which live on the the interface between topologically…

Quantum Physics · Physics 2013-05-03 Zheng-Yuan Xue

Qubits constructed from uncoupled Majorana fermions are protected from decoherence, but to perform a quantum computation this topological protection needs to be broken. Parity-protected quantum computation breaks the protection in a…

Mesoscale and Nanoscale Physics · Physics 2011-09-13 F. Hassler , A. R. Akhmerov , C. W. J. Beenakker

Mechanical resonators are emerging as an important new platform for quantum science and technologies. A large number of proposals for using them to store, process, and transduce quantum information motivates the development of increasingly…

Quantum Physics · Physics 2022-07-27 Uwe von Lüpke , Yu Yang , Marius Bild , Laurent Michaud , Matteo Fadel , Yiwen Chu

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…

Mesoscale and Nanoscale Physics · Physics 2025-09-09 Morteza Aghaee , Alejandro Alcaraz Ramirez , Zulfi Alam , Rizwan Ali , Mariusz Andrzejczuk , Andrey Antipov , Mikhail Astafev , Amin Barzegar , Bela Bauer , Jonathan Becker , Umesh Kumar Bhaskar , Alex Bocharov , Srini Boddapati , David Bohn , Jouri Bommer , Leo Bourdet , Arnaud Bousquet , Samuel Boutin , Lucas Casparis , Benjamin James Chapman , Sohail Chatoor , Anna Wulff Christensen , Cassandra Chua , Patrick Codd , William Cole , Paul Cooper , Fabiano Corsetti , Ajuan Cui , Paolo Dalpasso , Juan Pablo Dehollain , Gijs de Lange , Michiel de Moor , Andreas Ekefjärd , Tareq El Dandachi , Juan Carlos Estrada Saldaña , Saeed Fallahi , Luca Galletti , Geoff Gardner , Deshan Govender , Flavio Griggio , Ruben Grigoryan , Sebastian Grijalva , Sergei Gronin , Jan Gukelberger , Marzie Hamdast , Firas Hamze , Esben Bork Hansen , Sebastian Heedt , Zahra Heidarnia , Jesús Herranz Zamorano , Samantha Ho , Laurens Holgaard , John Hornibrook , Jinnapat Indrapiromkul , Henrik Ingerslev , Lovro Ivancevic , Thomas Jensen , Jaspreet Jhoja , Jeffrey Jones , Konstantin V. Kalashnikov , Ray Kallaher , Rachpon Kalra , Farhad Karimi , Torsten Karzig , Evelyn King , Maren Elisabeth Kloster , Christina Knapp , Dariusz Kocon , Jonne Koski , Pasi Kostamo , Mahesh Kumar , Tom Laeven , Thorvald Larsen , Jason Lee , Kyunghoon Lee , Grant Leum , Kongyi Li , Tyler Lindemann , Matthew Looij , Julie Love , Marijn Lucas , Roman Lutchyn , Morten Hannibal Madsen , Nash Madulid , Albert Malmros , Michael Manfra , Devashish Mantri , Signe Brynold Markussen , Esteban Martinez , Marco Mattila , Robert McNeil , Antonio B. Mei , Ryan V. Mishmash , Gopakumar Mohandas , Christian Mollgaard , Trevor Morgan , George Moussa , Chetan Nayak , Jens Hedegaard Nielsen , Jens Munk Nielsen , William Hvidtfelt Padkær Nielsen , Bas Nijholt , Mike Nystrom , Eoin O'Farrell , Thomas Ohki , Keita Otani , Brian Paquelet Wütz , Sebastian Pauka , Karl Petersson , Luca Petit , Dima Pikulin , Guen Prawiroatmodjo , Frank Preiss , Eduardo Puchol Morejon , Mohana Rajpalke , Craig Ranta , Katrine Rasmussen , David Razmadze , Outi Reentila , David J. Reilly , Yuan Ren , Ken Reneris , Richard Rouse , Ivan Sadovskyy , Lauri Sainiemi , Irene Sanlorenzo , Emma Schmidgall , Cristina Sfiligoj , Mustafeez Bashir Shah , Kevin Simoes , Shilpi Singh , Sarat Sinha , Thomas Soerensen , Patrick Sohr , Tomas Stankevic , Lieuwe Stek , Eric Stuppard , Henri Suominen , Judith Suter , Sam Teicher , Nivetha Thiyagarajah , Raj Tholapi , Mason Thomas , Emily Toomey , Josh Tracy , Michelle Turley , Shivendra Upadhyay , Ivan Urban , Kevin Van Hoogdalem , David J. Van Woerkom , Dmitrii V. Viazmitinov , Dominik Vogel , John Watson , Alex Webster , Joseph Weston , Georg W. Winkler , Di Xu , Chung Kai Yang , Emrah Yucelen , Roland Zeisel , Guoji Zheng , Justin Zilke

Hybrid quantum systems with inherently distinct degrees of freedom play a key role in many physical phenomena. Famous examples include cavity quantum electrodynamics, trapped ions, or electrons and phonons in the solid state. Here, a strong…

Mesoscale and Nanoscale Physics · Physics 2016-11-26 J. M. Pirkkalainen , S. U. Cho , Jian Li , G. S. Paraoanu , P. J. Hakonen , M. A. Sillanpää

Robust high-fidelity parity measurment is an important operation in many applications of quantum computing. In this work we show how in a circuit-QED architecture, one can measure parity in a single shot at very high contrast by taking…

Quantum Physics · Physics 2018-04-24 Marius Schöndorf , Frank K. Wilhelm

We describe a scheme to exchange fermion parity between two pairs of Majorana bound states mediated by coupling with a centralized quantum dot. We specifically formulate such a scheme for Majorana bound states nucleated in the Josephson…

Mesoscale and Nanoscale Physics · Physics 2024-03-26 Varsha Subramanyan , Jukka I Vayrynen , Alex Levchenko , Smitha Vishveshwara

The measurement of the parity of two qubits is a primitive of quantum computing that allows creating deterministic entanglement. In the field of circuit quantum electrodynamics, a scheme to achieve parity measurement of two superconducting…

Quantum Physics · Physics 2012-05-10 Jing Yan Haw , Yimin Wang , Valerio Scarani

We present a concept for performing direct parity measurements on three or more qubits in microwave structures with superconducting resonators coupled to Josephson-junction qubits. We write the quantum-eraser conditions that must be…

Quantum Physics · Physics 2015-06-05 David P. DiVincenzo , Firat Solgun

We propose a setup to measure the lifetime of the parity of a pair of Majorana bound states. The proposed experiment has one edge Majorana state tunnel coupled to a quantum dot, which in turn is coupled to a metallic electrode. When the…

Mesoscale and Nanoscale Physics · Physics 2013-01-10 Martin Leijnse , Karsten Flensberg
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