424 citations · 1.2k across the 42 of their papers we have counts for
44 papers
Associative Memory for Quantum Entangled States
Qiyuan Hu, Kartiek Agarwal, Ivar Martin
We generalize the canonical Hopfield model of associative memory, which stores classical states of individual spins, to store entangled quantum states. The construction is based on…
Visualizing Chiral Edge Modes in Twisted Cuprate Superconductors via Scanning-Probe Quantum Sensing
Senlei Li, Xiaomeng Cui, Renzhi Sun +9
Recently, unconventional superconductivity hosted by twisted van der Waals (vdW) heterostructures has received immense interest due to the exotic pairing symmetry, electronic inter…
Flat-band formation and chiral superconductivity in driven topological insulators
Suman Jyoti De, Leo Goutte, Kartiek Agarwal +1
We demonstrate that circularly polarized light can be used to Floquet-engineer nearly flat or Mexican-hat like electronic bands on the surface of three-dimensional topological insu…
Quantum-stabilized patterns in a vector Hopfield network
Richard D. Barney, Sharba Bhattacharjee, Victor Galitski +2
We introduce the quantum vector Hopfield network, in which patterns are formed by orientations of quantum vector spins; quantum dynamics arise intrinsically from the non-commutativ…
Learning quantum ground states in the space of measurement outcomes
Kartiek Agarwal
We investigate variational learning of quantum many-body ground states directly in measurement space using autoregressive neural networks. In particular, we represent quantum state…
Majorana zero modes in superconductor-magnet heterostructures with d-wave order
Bastien Fajardo, T. Pereg-Barnea, Arun Paramekanti +1
Magnetic skyrmions in proximity to superconductors offer a route to engineering topological superconductivity due to the synthetic spin-orbit coupling engendered by the spin twist…
Majorana edge modes in isolated wires
Jaden Thomas-Markarian, Jaden Thomas, Kartiek Agarwal +1
Topological superconductors are believed to host exotic quasiparticle excitations known as Majorana zero-modes (MZMs), with much of the evidence based on BCS mean-field theory. The…
Learning shadows to predict quantum ground state correlations
Pierre-Gabriel Rozon, Kartiek Agarwal
We introduce a variational scheme inspired by classical shadow tomography to compute ground state correlations of quantum spin Hamiltonians. Shadow tomography allows for efficient…
Shuttling Majorana zero modes in disordered and noisy topological superconductors
Bill P. Truong, Kartiek Agarwal, T. Pereg-Barnea
The braiding of Majorana zero modes (MZMs) forms the fundamental building block for topological quantum computation. Braiding protocols which involve the physical exchange of MZMs…
A theory of Stimulated and Spontaneous Axion Scattering
M. Smith, Kartiek Agarwal, Ivar Martin
We present a theory for nonlinear, resonant excitation of dynamical axions by counter-propagating electromagnetic waves in materials that break both and …
Majorana braiding in superconductors with fixed total number of particles
Ivar Martin, Kartiek Agarwal
One-dimensional topological superconductors treated at the mean-field level host zero-energy edge Majorana modes, which encode topological degeneracy of their ground states. Geomet…
Role of Bath-Induced Many-Body Interactions in the Dissipative Phases of the Su-Schrieffer-Heeger Model
Brett Min, Kartiek Agarwal, Dvira Segal
The Su-Schrieffer-Heeger chain is a prototype example of a symmetry-protected topological insulator. Coupling it non-perturbatively to local thermal environments, either through th…
Nanoscale defects as probes of time reversal symmetry breaking
Suman Jyoti De, Tami Pereg-Barnea, Kartiek Agarwal
Nanoscale defects such as Nitrogen Vacancy (NV) centers can serve as sensitive and non-invasive probes of electromagnetic fields and fluctuations from materials, which in turn can…
Spatiotemporal Quenches for Efficient Critical Ground State Preparation in Two-Dimensional Quantum Systems
Simon Bernier, Kartiek Agarwal
Quantum simulators have the potential to shed light on the study of quantum many-body systems and materials, offering unique insights into various quantum phenomena. While adiabati…
Optimal twirling depths for shadow tomography in the presence of noise
Pierre-Gabriel Rozon, Ning Bao, Kartiek Agarwal
The classical shadows protocol is an efficient strategy for estimating properties of an unknown state using a small number of state copies and measurements. In its original for…
Signatures of Majorana Zero-Modes in an isolated one-dimensional superconductor
Rohith Sajith, Kartiek Agarwal, Ivar Martin
We examine properties of the mean-field wave function of the one-dimensional Kitaev model supporting Majorana Zero Modes (MZMs) \emph{when restricted} to a fixed number of particle…
Broken unitary picture of dynamics in quantum many-body scars
Pierre-Gabriel Rozon, Kartiek Agarwal
Quantum many-body scars (QMBSs) are a novel paradigm for the violation of the eigenstate thermalization hypothesis -- Hamiltonians of these systems exhibit mid-spectrum eigenstates…
Anomalous Electronic Transport in High Mobility Corbino Rings
Sujatha Vijayakrishnan, F. Poitevin, Oulin Yu +8
We report low-temperature electronic transport measurements performed in two multi-terminal Corbino samples formed in GaAs/Al-GaAs two-dimensional electron gases (2DEG) with both u…
Spatiotemporal Quenches in Long-Range Hamiltonians
Simon Bernier, Kartiek Agarwal
Spatiotemporal quenches are efficient at preparing ground states of critical Hamiltonians that have emergent low-energy descriptions with Lorentz invariance. The critical transvers…
Optimizing the transport of Majorana zero modes in one-dimensional topological superconductors
Bill P. Truong, Kartiek Agarwal, T. Pereg-Barnea
Topological quantum computing is based on the notion of braiding non-Abelian anyons, such as Majorana zero modes (MZMs), to perform gate operations. A crucial building block of the…
Quantum Hall valley Ferromagnets as a platform for topologically protected quantum memory
Kartiek Agarwal
Materials hosting topologically protected non-Abelian zero modes offer the exciting possibility of storing and manipulating quantum information in a manner that is protected from d…
Effect of quasiperiodic and random noise on many-body dynamical decoupling protocols
Tristan Martin, Ivar Martin, Kartiek Agarwal
Symmetries (and their spontaneous rupturing) can be used to protect and engender novel quantum phases and lead to interesting collective phenomena. In Ref. 1, the authors described…
Dynamical approach to improving Majorana qubits and distinguishing them from trivial bound states
Brett Min, Bastien Fajardo, T. Pereg-Barnea +1
We study a series of dynamical protocols which involve periodically driving a quantum dot coupled to a putative nanowire hosting Majorana zero modes (MZMs) to i) reduce the hybridi…
Constructing quantum many-body scar Hamiltonians from Floquet automata
Pierre-Gabriel Rozon, Michael J. Gullans, Kartiek Agarwal
We provide a systematic approach for constructing approximate quantum many-body scars (QMBS) starting from two-layer Floquet automaton circuits that exhibit trivial many-body reviv…