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The transport behavior of a double quantum dot side-attached to a topological superconducting wire hosting Majorana zero-energy modes is studied theoretically in the strong correlation regime. It is shown that Majorana modes can leak to the…

Strongly Correlated Electrons · Physics 2020-06-03 Ireneusz Weymann , Krzysztof P. Wójcik , Piotr Majek

We have recently shown [Phys. Rev. B {\bf 89}, 165314 (2014)] that a non--interacting quantum dot coupled to a one--dimensional topological superconductor and to normal leads can sustain a Majorana mode even when the dot is expected to be…

Mesoscale and Nanoscale Physics · Physics 2015-04-03 David A. Ruiz-Tijerina , E. Vernek , Luis G. G. V. Dias da Silva , J. C. Egues

Leakage errors, in which a qubit is excited to a level outside the qubit subspace, represent a significant obstacle in the development of robust quantum computers. We present a computationally efficient simulation methodology for studying…

Quantum Physics · Physics 2025-01-22 Hidetaka Manabe , Yasunari Suzuki , Andrew S. Darmawan

Motivated by a recent experimental report[1] claiming the likely observation of the Majorana mode in a semiconductor-superconductor hybrid structure[2,3,4,5], we study theoretically the dependence of the zero bias conductance peak…

Mesoscale and Nanoscale Physics · Physics 2013-01-09 Chien-Hung Lin , Jay D. Sau , S. Das Sarma

Leakage errors take qubits out of the computational subspace and will accumulate if not addressed. A leaked qubit will reduce the effectiveness of quantum error correction protocols due to the cost of implementing leakage reduction circuits…

Quantum Physics · Physics 2019-09-25 Natalie C. Brown , Kenneth R. Brown

Leakage errors occur when a quantum system leaves the two-level qubit subspace. Reducing these errors is critically important for quantum error correction to be viable. To quantify leakage errors, we use randomized benchmarking in…

The signatures of Majorana zero-energy mode leaking into a spin-charge entangled double quantum dot are investigated theoretically in the strong electron correlation regime. The considered setup consists of two capacitively coupled quantum…

Mesoscale and Nanoscale Physics · Physics 2021-10-05 Piotr Majek , Ireneusz Weymann

We study a hybrid structure, comprising the single-level quantum dot attached to the topological superconducting nanowire, inspecting dynamical transfer of the Majorana quasiparticle onto normal region. Motivated by the recent experimental…

Mesoscale and Nanoscale Physics · Physics 2021-06-16 J. Baranski , M. Baranska , T. Zienkiewicz , R. Taranko , T. Domanski

Qubits based on Majorana zero modes are a promising path towards topological quantum computing. Such qubits, though, are susceptible to quasiparticle poisoning which does not have to be small by topological argument. We study the main…

Mesoscale and Nanoscale Physics · Physics 2021-02-10 Torsten Karzig , William S. Cole , Dmitry I. Pikulin

The presence of Majorana zero-energy modes at vortex cores in a topological superconductor implies that each vortex carries an extra entropy $s_0$, given by $(k_{B}/2)\ln 2$, that is independent of temperature. By utilizing this special…

Mesoscale and Nanoscale Physics · Physics 2012-10-08 Chang-Yu Hou , Kirill Shtengel , Gil Refael , Paul M. Goldbart

The prospects for realizing a topological quantum computer have brightened since the apparent detection of Majorana fermions at the ends of semiconducting nanowires. These Majorana zero-modes persist in the presence of the strong disorder…

Mesoscale and Nanoscale Physics · Physics 2016-08-02 Sonika Johri , Rahul Nandkishore

Majorana zero modes in condensed matter systems have been the subject of much interest in recent years. Their non-Abelian exchange statistics, making them a unique state of matter, and their potential applications in topological quantum…

Mesoscale and Nanoscale Physics · Physics 2022-01-26 Omri Lesser , Yuval Oreg

We propose to use the continuous version of the quantum Zeno effect to eliminate leakage to higher energy states in superconducting quantum computing architectures based on Josephson phase and flux qubits. We are particularly interested in…

Quantum Physics · Physics 2018-05-18 Andrei Galiautdinov

We show that the presence of Majorana zero-modes in a one-dimensional topological superconductor can be detected by adiabatic cooling. This cooling effect results from an increase of the topological entropy associated with the ground state…

Mesoscale and Nanoscale Physics · Physics 2014-01-15 Chang-Yu Hou , Yafis Barlas , Kirill Shtengel

We analyze the rate at which quantum information encoded in zero-energy Majorana modes is lost in the presence of perturbations. We show that information can survive for times that scale exponentially with the size of the chain both in the…

Quantum Physics · Physics 2014-01-27 Leonardo Mazza , Matteo Rizzi , Mikhail D. Lukin , J. Ignacio Cirac

Many physical systems considered promising qubit candidates are not, in fact, two-level systems. Such systems can leak out of the preferred computational states, leading to errors on any qubits that interact with leaked qubits. Without…

Quantum Physics · Physics 2013-10-09 Austin G. Fowler

Although Majorana platforms are promising avenues to realizing topological quantum computing, they are still susceptible to errors from thermal noise and other sources. We show that the error rate of Majorana qubits can be drastically…

Mesoscale and Nanoscale Physics · Physics 2020-05-06 John P. T. Stenger , Roger S. K. Mong

Quantum thermodynamics is a promising route to unambiguous detections of Majorana bound states. Being fundamentally different from quantum transport, this approach reveals unique Majorana thermodynamic behavior and deepens our insight into…

Mesoscale and Nanoscale Physics · Physics 2021-11-12 Sergey Smirnov

Quantum computing can become scalable through error correction, but logical error rates only decrease with system size when physical errors are sufficiently uncorrelated. During computation, unused high energy levels of the qubits can…

Majorana zero modes have been attracting considerable attention because of their prospective applications in fault-tolerant topological quantum computing. In recent years, some schemes have been proposed to detect and manipulate Majorana…

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