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19942023
most citedTowards Practical Quantum Variational Algorithms

728 citations · 13.6k across the 152 of their papers we have counts for

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7 papers · 1 filter

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-hall2010★ 227 cited

Disordered Topological Insulators via -Algebras

T. A. Loring, M. B. Hastings

The theory of almost commuting matrices can be used to quantify topological obstructions to the existence of localized Wannier functions with time-reversal symmetry in systems with…

cond-mat.mes-hall2010★ 63 cited

Projective Ribbon Permutation Statistics: a Remnant of non-Abelian Braiding in Higher Dimensions

Michael Freedman, Matthew B. Hastings, Chetan Nayak +3

In a recent paper, Teo and Kane proposed a 3D model in which the defects support Majorana fermion zero modes. They argued that exchanging and twisting these defects would implement…

cond-mat.mes-hall2004

Intermittent polaron dynamics: Born-Oppenheimer out of equilibrium

D. Mozyrsky, M. B. Hastings, I. Martin

We consider the non-equilibrium dynamics of a molecular level interacting with local phonon modes in the case of a strong polaronic shift which prevents a perturbative treatment of…

cond-mat.mes-hall2004★ 5 cited

Spin-Orbit Scattering and Time-Reversal Symmetry: Detection of a Spin by Tunneling

M. B. Hastings

We consider the possibility of detecting spin precession in a magnetic field by nonequilibrium transport processes. We find that time reversal symmetry imposes strong constraints o…

cond-mat.mes-hall2003★ 1 cited

Renormalization of resonant tunneling in MOSFETs

D. Mozyrsky, I. Martin, A. Shnirman +1

We study tunneling between a localized defect state and a conduction band in the presence of strong electron-electron and electron-phonons interactions. We derive the tunneling rat…