157 citations · 1.1k across the 37 of their papers we have counts for
37 papers
Isolated zero mode in a quantum computer from a duality twist
Sutapa Samanta, Derek S. Wang, Armin Rahmani +1
Investigating the interplay of dualities, generalized symmetries, and topological defects beyond theoretical models is an important challenge in condensed matter physics and quantu…
Braiding fractional quantum Hall quasiholes on a superconducting quantum processor
Ammar Kirmani, Derek S. Wang, Pouyan Ghaemi +1
Direct experimental detection of anyonic exchange statistics in fractional quantum Hall systems by braiding the excitations and measuring the wave-function phase is an enormous cha…
Preparing quantum many-body scar states on quantum computers
Erik J. Gustafson, Andy C. Y. Li, Abid Khan +6
Quantum many-body scar states are highly excited eigenstates of many-body systems that exhibit atypical entanglement and correlation properties relative to typical eigenstates at t…
Engineering quasi-steady-state correlations in uncorrelated thermal states using stochastic driving
Armin Rahmani
Nonequilibrium quantum dynamics can give rise to the emergence of novel steady states. We propose a scheme for driving an initially uncorrelated thermal state to generate customize…
Probing Geometric Excitations of Fractional Quantum Hall States on Quantum Computers
Ammar Kirmani, Kieran Bull, Chang-Yu Hou +5
Intermediate-scale quantum technologies provide new opportunities for scientific discovery, yet they also pose the challenge of identifying suitable problems that can take advantag…
Topological and geometric patterns in optimal bang-bang protocols for variational quantum algorithms: application to the model on the square lattice
Matthew T. Scoggins, Armin Rahmani
In this work, we address the challenge of uncovering patterns in variational optimal protocols for taking the system to ground states of many-body Hamiltonians, using variational q…
Creating and manipulating a Laughlin-type fractional quantum Hall state on a quantum computer with linear depth circuits
Armin Rahmani, Kevin J. Sung, Harald Putterman +3
Here we present an efficient quantum algorithm to generate an equivalent many-body state to Laughlin's fractional quantum Hall state on a digitized quantum computer. Our al…
Optimal preparation of the state for qubits with XY coupling
Dalton Jones, Armin Rahmani
Using simulated annealing, we find optimal protocols that evolve a simple product state into a three-qubit state with a Hamiltonian that describes XY coupling and single-qubit…
Interacting Majorana Fermions
Armin Rahmani, Marcel Franz
Majorana fermions are the real (in a mathematical sense) counterparts of complex fermions like ordinary electrons. The promise of topological quantum computing has lead to substant…
Phase diagrams of Majorana-Hubbard ladders
Armin Rahmani, Dmitry Pikulin, Ian Affleck
Models of interacting Majorana modes may be realized in vortex lattices in superconducting films in contact with topological insulators and may be tuned to the strong-interaction r…
Optimal noise-canceling shortcuts to adiabaticity: application to noisy Majorana-based gates
Kyle Ritland, Armin Rahmani
Adiabatic braiding of Majorana zero modes can be used for topologically protected quantum information processing. While extremely robust to many environmental perturbations, these…
Majorana-Hubbard model on the square lattice
Ian Affleck, Armin Rahmani, Dmitry Pikulin
We study a tight-binding model of interacting Majorana (Hermitian) modes on a square lattice. The model may have an experimental realization in a superconducting-film--topological-…
Optimal control of superconducting gmon qubits using Pontryagin's minimum principle: preparing a maximally entangled state with singular bang-bang protocols
Seraph Bao, Silken Kleer, Ruoyu Wang +1
We apply the theory of optimal control to the dynamics of two "gmon" qubits, with the goal of preparing a desired entangled ground state from an initial unentangled one. Given an i…
Optimizing Variational Quantum Algorithms using Pontryagin's Minimum Principle
Zhi-Cheng Yang, Armin Rahmani, Alireza Shabani +2
We use Pontryagin's minimum principle to optimize variational quantum algorithms. We show that for a fixed computation time, the optimal evolution has a bang-bang (square pulse) fo…
Optimal diabatic dynamics of Majorana-based quantum gates
Armin Rahmani, Babak Seradjeh, Marcel Franz
In topological quantum computing, unitary operations on qubits are performed by adiabatic braiding of non-Abelian quasiparticles, such as Majorana zero modes, and are protected fro…
Anti-Kibble-Zurek Behavior in Crossing the Quantum Critical Point of a Thermally Isolated System Driven by a Noisy Control Field
Anirban Dutta, Armin Rahmani, Adolfo del Campo
We show that a thermally isolated system driven across a quantum phase transition by a noisy control field exhibits anti-Kibble-Zurek behavior, whereby slower driving results in hi…
Interplay of Anderson localization and quench dynamics
Armin Rahmani, Smitha Vishveshwara
In the context of an isolated three-dimensional noninteracting fermionic lattice system, we study the effects of a sudden quantum quench between a disorder-free situation and one i…
Phase Diagram of the Interacting Majorana Chain Model
Armin Rahmani, Xiaoyu Zhu, Marcel Franz +1
The Hubbard chain and spinless fermion chain are paradigms of strongly correlated systems, very well understood using Bethe ansatz, Density Matrix Renormalization Group (DMRG) and…
Emergent Supersymmetry from Strongly Interacting Majorana Zero Modes
Armin Rahmani, Xiaoyu Zhu, Marcel Franz +1
We show that a strongly interacting chain of Majorana zero modes exhibits a supersymmetric quantum critical point corresponding to the tricritical Ising model, whic…
Optimal Control of Majorana Zero Modes
Torsten Karzig, Armin Rahmani, Felix von Oppen +1
Braiding of Majorana zero modes provides a promising platform for quantum information processing, which is topologically protected against errors. Strictly speaking, however, the s…
Anyonic Liquids in Nearly Saturated Spin Chains
Armin Rahmani, Adrian E. Feiguin, Cristian D. Batista
Most Heisenberg-like spin chains flow to a universal free-fermion fixed point near the magnetic-field induced saturation point. Here we show that an exotic fixed point, characteriz…
A Renormalization-Group Study of the Symmetry-Breaking Order Parameters in Spin-Orbit Coupled Iridates and Related Systems
Tanmoy Das, Armin Rahmani
We study the competition between various forms of density-wave-like order parameters that may arise in multi-orbital correlated materials with strong spin-orbit coupling (SOC) with…
Dynamics of noisy quantum systems in the Heisenberg picture: application to the stability of fractional charge
Armin Rahmani
Based on the Heisenberg-picture analog of the master equation, we develop a method for computing the exact time dependence of noise-averaged observables for general noninteracting…
Low-energy theory of a two-dimensional itinerant chiral magnet
Armin Rahmani, Rodrigo A. Muniz, Ivar Martin
Effective actions, such as nonlinear sigma models, are important tools in studying low-energy fluctuations of magnetically ordered states. Here we derive an effective action for th…