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Dissipative quantum error correction with superconducting GKP qubits
Quantum computing is currently gaining significant interest, due to its applications within chemistry, materials science, and cryptography, and its potential to spark a cascade of future applications, as happened with conventional computers. Useful-scale quantum computing is a formidable challenge, since any noise-induced error leads to irrecoverable loss of information. Mainstream, active error correction-approaches to this challenge rely on frequent measurement and control of an extensive number of qubits, making their scalability a significant challenge. I'm currently interested in exploring a route that circumvents these issues, by using dissipation— “friendly noise”— to correct errors induced by adversarial noise
Exponentially Robust Non-Clifford Gate in a Driven-Dissipative Circuit
L. O'Brien, G. Refael, F. Nathan
arXiv:2507.19713 (2025)
Self-correcting GKP qubit and gates in a driven-dissipative circuit
F. Nathan, L. O'Brien, K. Noh, M. H. Matheny, A. L. Grimsmo, L. Jiang, G. Refael
PRX Quantum 6, 030352 (2025)
Self-correcting GKP qubit and gates in superconducting circuit with an oscillating voltage bias
M. Geier, F. Nathan
arXiv:2405.05671 (2024)
Theory of open quantum systems
Open quantum systems are everywhere, but in contrast to their "closed" counterparts, we don't have exact laws governing their evolution. Rather, we must rely on approximation schemes. I'm interested in developing better and systematic methods for describing open quantum systems, to enable systematic studies of new classes open quantum systems whose complexity brings them out of reach from existing methods. I'm currently working on improving tools for describing open quantum system dynamics, and using these insights to develop efficient quantum simulation algorithms
Ancilla-train quantum algorithm for simulating non-Markovian open quantum systems
H. M. Christensen, J. Agerskov, F. Nathan
arXiv:2509.12717 (2025)
Quantifying the accuracy of steady states obtained from the universal Lindblad equation
F. Nathan, M. S. Rudner,
PRB 109, 205140 (2024)
Universal Lindblad Equation for Open Quantum Systems
F. Nathan, M. S. Rudner,
PRB 102 (11), 115109 (2020)
Nonlinear optics in topological materials
The last decade has seen the discovery of a rich variety of new materials characterized by nontrivial topological bands, such as graphene, Dirac semimetals, Weyl semimetals and topological insulators. Among their many exciting properties, their nonlinear optical responses seem particularly promising. Topological semimetals for instance can exhibit large photocurrents and support high-harmonic generation. These phenomena seem to arise from a rich interplay of anharmonic band dispersion, band geometry, exotic edge states and plasmonics. I've been involved in a project exploring one such nonlinear response phenmenon, namely "topological frequency conversion," which is a unique mechanism for optical amplification which can occur Weyl semimetals. I am working on exploring the nonlinear optical response phenomena more generally, looking for new ways to use this new discovery for technological applications.
Topological frequency conversion in rhombohedral multilayer graphene
E. Lantagne-Hurtubise, I. Esin, G. Refael, and F. Nathan
PRB 110, L100305 (2024)
Topological Frequency conversion in Weyl semimetals
F. Nathan, I. Martin, G. Refael,
PRR 4, 043060 (2022)
Driving-induced topology
Driving can induce a rich array of new phases of matter. These phases have exotic properties such as quantized magnetization, current, or energy pumping. Some can even exist in quasiperiodically driven systems, in the absence of time translation symmetry. Interestingly, interactions can enrichen the phase diagram, while still being allow for stable phases. I'm interested in exploring, classifying and characterizing topological phases of matter, and in particular, explore how they can be stabilized through dissipation.
Achieving quantized transport in Floquet topological insulators via energy filters
R. Zhang, F. Nathan, N. H. Lindner, M. S. Rudner
Phys. Rev. B 110, 075428 (2024)
Hierarchy of many-body invariants and quantized magnetization in anomalous Floquet insulators
F· Nathan, D. Abanin, N. Lindner, E. Berg, M. S. Rudner,
SciPost Physics 10 (6), 128 (2022)
Quasiperiodic Floquet-Thouless Energy Pump
F. Nathan, R. Ge, S. Gazit, M. S. Rudner, M. H. Kolodrubetz
PRL 127 (16), 166804 (2021)
Anomalous floquet insulators
F. Nathan, D. Abanin, E. Berg, N. H. Lindner, M. S. Rudner,
PRB 99 (19), 195133 (2019)
Quantized Magnetization Density in Periodically Driven Systems
F. Nathan, M. S. Rudner, N. H. Lindner, E. Berg, G. Refael
PRL 120 (15), 15061 (2017)
Topological Singularities and the General Classification of Floquet-Bloch systems,
F. Nathan, M. S. Rudner
N. J. Phys. 17 (12), 125014 (2015)
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