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20122026
most citedScalable Designs for Quasiparticle-Poisoning-Protected Topological Quantum Computation with Majorana Zero Modes

631 citations · 1.2k across the 22 of their papers we have counts for

collaborators

22 papers

cond-mat.mes-hall2026

20 Second Parity Lifetime in an InAs--Pb Tetron Device

Morteza Aghaee, Zulfi Alam, Mariusz Andrzejczuk +162

A central promise of topological quantum computing is that increasing the excitation gap improves device performance significantly. Here, we experimentally validate this principle…

quant-ph2025

Excising dead components in the surface code using minimally invasive alterations: A performance study

Ryan V. Mishmash, Vadym Kliuchnikov, Juan Bello-Rivas +7

The physical implementation of a large-scale error-corrected quantum processor will necessarily need to mitigate the presence of defective (thereby "dead") physical components in i…

cond-mat.mes-hall2025

Distinct Lifetimes for and Loop Measurements in a Majorana Tetron Device

Morteza Aghaee, Zulfi Alam, Rikke Andersen +164

We present a hardware realization and measurements of a tetron qubit device in a superconductor-semiconductor heterostructure. The device architecture contains two parallel superco…

cond-mat.mes-hall2025

Response to recent comments on Phys. Rev. B 107, 245423 (2023) and Subsection S4.3 of the Supp. Info. for Nature 638, 651-655 (2025)

Morteza Aghaee, Zulfi Alam, Mariusz Andrzejczuk +127

The topological gap protocol (TGP) is a statistical test designed to identify a topological phase with high confidence and without human bias. It is used to determine a promising p…

quant-ph2025★ 5 cited

Roadmap to fault tolerant quantum computation using topological qubit arrays

David Aasen, Morteza Aghaee, Zulfi Alam +179

We describe a concrete device roadmap towards a fault-tolerant quantum computing architecture based on noise-resilient, topologically protected Majorana-based qubits. Our roadmap e…

cond-mat.mes-hall2024★ 4 cited

Interferometric Single-Shot Parity Measurement in an InAs-Al Hybrid Device

Morteza Aghaee, Alejandro Alcaraz Ramirez, Zulfi Alam +159

The fusion of non-Abelian anyons or topological defects is a fundamental operation in measurement-only topological quantum computation. In topological superconductors, this operati…

quant-ph2023★ 10 cited

Improved Pairwise Measurement-Based Surface Code

Linnea Grans-Samuelsson, Ryan V. Mishmash, David Aasen +5

We devise a new realization of the surface code on a rectangular lattice of qubits utilizing single-qubit and nearest-neighbor two-qubit Pauli measurements and three auxiliary qubi…

cond-mat.mes-hall2022★ 24 cited

Vortex-enabled Andreev processes in quantum Hall-superconductor hybrids

Yuchen Tang, Christina Knapp, Jason Alicea

Quantum Hall-superconductor heterostructures provide possible platforms for intrinsically fault-tolerant quantum computing. Motivated by several recent experiments that successfull…

cond-mat.mes-hall2022★ 216 cited

InAs-Al Hybrid Devices Passing the Topological Gap Protocol

Morteza Aghaee, Arun Akkala, Zulfi Alam +124

We present measurements and simulations of semiconductor-superconductor heterostructure devices that are consistent with the observation of topological superconductivity and Majora…

quant-ph2022★ 51 cited

Performance of planar Floquet codes with Majorana-based qubits

Adam Paetznick, Christina Knapp, Nicolas Delfosse +4

Quantum error correction is crucial for any quantum computing platform to achieve truly scalable quantum computation. The surface code and its variants have been considered the mos…

cond-mat.str-el2021★ 5 cited

Characterization and Classification of Fermionic Symmetry Enriched Topological Phases

David Aasen, Parsa Bonderson, Christina Knapp

We examine the interplay of symmetry and topological order in dimensional fermionic topological phases of matter. We define fermionic topological symmetries acting on the eme…

math.QA2021★ 2 cited

Torsorial actions on G-crossed braided tensor categories

David Aasen, Parsa Bonderson, Christina Knapp

We develop a method for generating the complete set of basic data under the torsorial actions of and on a -crossed braided tensor…

cond-mat.str-el2020★ 17 cited

Anomalous exciton transport in response to a uniform, in-plane electric field

Swati Chaudhary, Christina Knapp, Gil Refael

Excitons are neutral objects, that, naively, should have no response to a uniform, electric field. Could the Berry curvature of the underlying electronic bands alter this conclusio…

cond-mat.supr-con2020★ 13 cited

Survival of the fractional Josephson effect in time-reversal-invariant topological superconductors

Christina Knapp, Aaron Chew, Jason Alicea

Time-reversal-invariant topological superconductor (TRITOPS) wires host Majorana Kramers pairs that have been predicted to mediate a fractional Josephson effect with periodici…

cond-mat.mes-hall2019★ 22 cited

Number conserving analysis of measurement-based braiding with Majorana zero modes

Christina Knapp, Jukka I. Väyrynen, Roman M. Lutchyn

Majorana-based quantum computation seeks to encode information non-locally in pairs of Majorana zero modes, thereby isolating qubit states from a local noisy environment. In additi…

cond-mat.str-el2018★ 12 cited

Fractional Chern insulator edges and layer-resolved lattice contacts

Christina Knapp, Eric M. Spanton, Andrea F. Young +2

Fractional Chern insulators (FCIs) realized in fractional quantum Hall systems subject to a periodic potential are topological phases of matter for which space group symmetries pla…

quant-ph2018★ 25 cited

Modeling noise and error correction for Majorana-based quantum computing

Christina Knapp, Michael Beverland, Dmitry I. Pikulin +1

Majorana-based quantum computing seeks to use the non-local nature of Majorana zero modes to store and manipulate quantum information in a topologically protected way. While noise…

cond-mat.mes-hall2017★ 84 cited

Dephasing of Majorana-based qubits

Christina Knapp, Torsten Karzig, Roman Lutchyn +1

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…

quant-ph2017★ 29 cited

Anyonic Entanglement and Topological Entanglement Entropy

Parsa Bonderson, Christina Knapp, Kaushal Patel

We study the properties of entanglement in two-dimensional topologically ordered phases of matter. Such phases support anyons, quasiparticles with exotic exchange statistics. The e…

cond-mat.mes-hall2016★ 631 cited

Scalable Designs for Quasiparticle-Poisoning-Protected Topological Quantum Computation with Majorana Zero Modes

Torsten Karzig, Christina Knapp, Roman M. Lutchyn +9

We present designs for scalable quantum computers composed of qubits encoded in aggregates of four or more Majorana zero modes, realized at the ends of topological superconducting…

cond-mat.mes-hall2016★ 80 cited

How quickly can anyons be braided? Or: How I learned to stop worrying about diabatic errors and love the anyon

Christina Knapp, Michael Zaletel, Dong E. Liu +3

Topological phases of matter are a potential platform for the storage and processing of quantum information with intrinsic error rates that decrease exponentially with inverse temp…

math.HO2012

The Uncountability of the Unit Interval

Christina Knapp, Cesar E. Silva

For any particularly interesting theorem one proof is never enough. Instead, the first proof sets the challenge to find a more elegant method that illuminates subtle features of th…