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Quantum compiling, a process that decomposes the quantum algorithm into a series of hardware-compatible commands or elementary gates, is of fundamental importance for quantum computing. We introduce an efficient algorithm based on deep…

Quantum Physics · Physics 2020-10-22 Yuan-Hang Zhang , Pei-Lin Zheng , Yi Zhang , Dong-Ling Deng

Topological phases which host Majorana fermions can not be identified via local order parameters. We give simple nonlocal order parameters to distinguish quasi-one-dimensional (1D) topological superconductors of spinless fermions, for any…

Strongly Correlated Electrons · Physics 2014-07-29 Yasaman Bahri , Ashvin Vishwanath

Majorana zero modes are quasiparticle excitations in condensed matter systems that have been proposed as building blocks of fault-tolerant quantum computers [1]. They are expected to exhibit non-Abelian particle statistics, in contrast to…

Mesoscale and Nanoscale Physics · Physics 2016-03-18 S. M. Albrecht , A. P. Higginbotham , M. Madsen , F. Kuemmeth , T. S. Jespersen , J. Nygård , P. Krogstrup , C. M. Marcus

Fast and high-fidelity qubit initialization is crucial for low-frequency qubits such as fluxonium, and in applications of many quantum algorithms and quantum error correction codes. In a circuit quantum electrodynamics system, the…

Semiconducting-superconducting nanowires attract widespread interest owing to the possible presence of non-abelian Majorana zero modes, which hold promise for topological quantum computation. However, the search for Majorana signatures is…

We investigate the decoherence patterns of topological qubits in contact with the environment by a novel way of deriving the open system dynamics other than the Feynman-Vernon. Each topological qubit is made of two Majorana modes of a 1D…

Strongly Correlated Electrons · Physics 2015-06-22 Shih-Hao Ho , Sung-Po Chao , Chung-Hsien Chou , Feng-Li Lin

Measurement schemes of Majorana zero modes (MZMs) based on quantum dots (QDs) are of current interest as they provide a scalable platform for topological quantum computation. In a coupled qubit-QD setup we calculate the dependence of the…

Mesoscale and Nanoscale Physics · Physics 2021-06-09 Aleksei Khindanov , Dmitry Pikulin , Torsten Karzig

The non-Abelian statistics of Majorana fermions, their role in topological quantum computation, and the possibility of realizing them in condensed matter systems, has attracted considerable attention. While there have been recent reports of…

Strongly Correlated Electrons · Physics 2016-02-24 David Nozadze , Nandini Trivedi

We study multiband semiconducting nanowires proximity-coupled with an s-wave superconductor. We show that when odd number of subbands are occupied the system realizes non-trivial topological state supporting Majorana modes localized at the…

Superconductivity · Physics 2011-03-31 Roman M. Lutchyn , Tudor Stanescu , S. Das Sarma

We study the stability of the topological quantum computation proposals involving Majorana fermions against thermal fluctuations. We use a minimal realistic model of a spinless px+ipy superconductor and consider effect of excited midgap…

Superconductivity · Physics 2012-04-25 Meng Cheng , Roman M. Lutchyn , S. Das Sarma

One of the main challenges for quantum computation is that while the number of gates required to perform a non-trivial quantum computation may be very large, decoherence and errors in realistic quantum architectures limit the number of…

Quantum Physics · Physics 2020-06-24 Alan Tran , Alex Bocharov , Bela Bauer , Parsa Bonderson

This review elaborates pedagogically on the fundamental concept, basic theory, expected properties, and materials realizations of topological superconductors. The relation between topological superconductivity and Majorana fermions are…

Superconductivity · Physics 2017-05-18 Masatoshi Sato , Yoichi Ando

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

Topology-related ideas might lead to noise-resilient quantum computing. For example, it is expected that the slow spatial exchange (`braiding') of Majorana zero modes in superconductors yields quantum gates that are robust against disorder.…

Mesoscale and Nanoscale Physics · Physics 2024-03-13 Péter Boross , András Pályi

Semiconducting nanowires in proximity to superconductors are among promising candidates to search for Majorana fermions and topologically protected degeneracies which may ultimately be used as building blocks for topological quantum…

Superconductivity · Physics 2011-10-10 Jay D. Sau , B. I. Halperin , K. Flensberg , S. Das Sarma

Majorana fermions subject to the non-Abelian braid group are believed to be the basic ingredients of future topological quantum computations. In this work, we propose to simulate Majorana fermions of the Kitaev model in electric circuits…

Mesoscale and Nanoscale Physics · Physics 2020-08-13 Motohiko Ezawa

Majorana-based quantum computation in nanowires and neutral atoms has gained prominence as a promising platform to encode qubits and protect them against noise. In order to run computations reliably on such devices, a fully fault-tolerant…

Quantum Physics · Physics 2025-09-17 Maryam Mudassar , Alexander Schuckert , Daniel Gottesman

InAs/GaAs quantum dots (QDs) and quantum dot molecules (QDMs) are self-assembled semiconductor nanostructures that can trap a single electron or hole with well-defined spin projections. QDs and QDMs have excellent optical properties and…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Xiangyu Ma , Yuejing Wang , Joshua Zide , Matthew Doty

Quantum-dot based parity-to-charge conversion is a promising method for reading out quantum information encoded nonlocally into pairs of Majorana zero modes. To obtain a sizable parity-to-charge visibility, it is crucial to tune the…

Mesoscale and Nanoscale Physics · Physics 2021-06-07 Jens Schulenborg , Michele Burrello , Martin Leijnse , Karsten Flensberg

We relax one of the requirements for topological quantum computation with Majorana fermions. Topological quantum computation was discussed so far as manipulation of the wave function within degenerate many body ground state. The simplest…

Superconductivity · Physics 2015-10-12 A. R. Akhmerov
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