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We study a topological superconducting nanowire that hosts gliding Majorana zero modes in the presence of a microwave cavity field. We show that the cavity decay rate depends on both the parity encoded by the Majorana zero modes and their…

Mesoscale and Nanoscale Physics · Physics 2023-10-16 Olesia Dmytruk , Mircea Trif

Constructing an efficient and robust quantum memory is central to the challenge of engineering feasible quantum computer architectures. Quantum error correction codes can solve this problem in theory, but without careful design it can…

Detection and manipulation of excitations with non-Abelian statistics, such as Majorana fermions, are essential for creating topological quantum computers. To this end, we show the connection between the existence of such localized…

Strongly Correlated Electrons · Physics 2020-10-15 Oles Shtanko , Ramis Movassagh

If a quantum dot is coupled to a topological superconductor via tunneling contacts, each contact hosts a Majorana zero mode in the limit of zero transmission. Close to a resonance and at a finite contact transparency, the resonant level in…

Mesoscale and Nanoscale Physics · Physics 2024-06-11 Max Geier , Svend Krøjer , Felix von Oppen , Charles M. Marcus , Karsten Flensberg , Piet W. Brouwer

It has recently been shown that there are efficient algorithms for quantum computers to solve certain problems, such as prime factorization, which are intractable to date on classical computers. The chances for practical implementation,…

Quantum Physics · Physics 2009-10-30 Adriano Barenco , Todd A. Brun , Ruediger Schack , Tim Spiller

We study the sudden quench of a one-dimensional p-wave superconductor through its topological signature in the entanglement spectrum. The long-time evolution of the system and its topological characterization depend on a pseudomagnetic…

Mesoscale and Nanoscale Physics · Physics 2014-01-21 Ming-Chiang Chung , Yi-Hao Jhu , Pochung Chen , Chung-Yu Mou , Xin Wan

Majorana fermions (MFs) are exotic particles that are their own anti-particles. Recently, the search for the MFs occurring as quasi-particle excitations in solid-state systems has attracted widespread interest, because of their fundamental…

Quantum Physics · Physics 2014-09-22 Jun Li , Ting Yu , Hai-Qing Lin , J. Q. You

Majorana fermions often coexist with other low-energy fermionic degrees of freedom. In such situation, topological quantum computation requires the use of fermionic zero modes of a many-body system. We classify all such modes for…

Superconductivity · Physics 2015-06-18 Guang Yang , D. E. Feldman

Quantum memory systems are vital in quantum information processing for dependable storage and retrieval of quantum states. Inspired by classical reliability theories that synthesize reliable computing systems from unreliable components, we…

Quantum Physics · Physics 2025-12-10 Anuj K. Nayak , Eric Chitambar , Lav R. Varshney

A key property of Majorana zero modes is their protection against local perturbations. In the standard picture, this protection is guaranteed by a high degree of spatial nonlocality of the Majoranas, namely a suppressed wave-function…

Mesoscale and Nanoscale Physics · Physics 2018-12-12 Fernando Peñaranda , Ramón Aguado , Pablo San-Jose , Elsa Prada

One-dimensional topological superconductors are known to host Majorana zero modes at domain walls terminating the topological phase. Their nonabelian nature allows for processing quantum information by braiding operations which are…

Mesoscale and Nanoscale Physics · Physics 2013-11-27 Torsten Karzig , Gil Refael , Felix von Oppen

We analyze charging-energy-protected Majorana-based qubits, focusing on the residual dephasing that is present when the distance between Majorana zero modes (MZMs) is insufficient for full topological protection. We argue that the leading…

Mesoscale and Nanoscale Physics · Physics 2018-05-23 Christina Knapp , Torsten Karzig , Roman Lutchyn , Chetan Nayak

We provide a current perspective on the rapidly developing field of Majorana zero modes in solid state systems. We emphasize the theoretical prediction, experimental realization, and potential use of Majorana zero modes in future…

Strongly Correlated Electrons · Physics 2015-11-09 Sankar Das Sarma , Michael Freedman , Chetan Nayak

Among the major approaches that are being pursued for realizing quantum bits, the Majorana-based platform has been the most recent to be launched. It attempts to realize qubits which store quantum information in a topologically-protected…

Mesoscale and Nanoscale Physics · Physics 2021-03-10 Karsten Flensberg , Felix von Oppen , Ady Stern

The simulation of systems of interacting fermions is one of the most anticipated applications of quantum computers. The most interesting simulations will require a fault-tolerant quantum computer, and building such a device remains a…

Quantum Physics · Physics 2023-03-29 Kevin J. Sung , Marko J. Rančić , Olivia T. Lanes , Nicholas T. Bronn

We study a disordered superconducting nanowire, with broken time-reversal and spin-rotational symmetry, which can be driven into a topological phase with end Majorana bound states by an externally applied magnetic field. As a function of…

Mesoscale and Nanoscale Physics · Physics 2013-11-22 Benjamin M. Fregoso , Alejandro M. Lobos , S. Das Sarma

Determination of optimal control protocols for Majorana zero modes during their exchange is a crucial step towards the realisation of the topological quantum computer. In this paper, we study the finite-time exchange process of Majorana…

Mesoscale and Nanoscale Physics · Physics 2025-07-22 Tomasz Maciazek , Mia Conlon

Studies of non-equilibrium current fluctuations enable assessing correlations involved in quantum transport through nanoscale conductors. They provide additional information to the mean current on charge statistics and the presence of…

Mesoscale and Nanoscale Physics · Physics 2012-04-24 N. Ubbelohde , K. Roszak , F. Hohls , N. Maire , R. J. Haug , T. Novotny

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 non-local coherent nature of the Majorana devices is one of the key factors for realizing decoherence-free topological qubits. Direct observation of this coherent nature could provide a first-step benchmarking scheme to validate…

Mesoscale and Nanoscale Physics · Physics 2020-02-19 Donghao Liu , Zhan Cao , Hao Zhang , Dong E. Liu