Publications (39)
Variational Quantum Simulation of Anyonic Chains
Ananda Roy
Anyonic chains provide lattice realizations of a rich set of quantum field theories in two space-time dimensions. The latter play a central role in the investigation of generalized…
Efficient Quantum Circuits based on the Quantum Natural Gradient
Ananda Roy, Sameer Erramilli, Robert M. Konik
Efficient preparation of arbitrary entangled quantum states is crucial for quantum computation. This is particularly important for noisy intermediate scale quantum simulators relyi…
Entanglement entropy in critical quantum spin chains with boundaries and defects
Ananda Roy, Hubert Saleur
Entanglement entropy (EE) in critical quantum spin chains described by 1+1D conformal field theories contains signatures of the universal characteristics of the field theory. Bound…
Ising Meson Spectroscopy on a Noisy Digital Quantum Simulator
Christopher Lamb, Yicheng Tang, Robert Davis +1
Quantum simulation has the potential to be an indispensable technique for the investigation of non-perturbative phenomena in strongly-interacting quantum field theories (QFTs). In…
Topological Interfaces of Luttinger Liquids
Ananda Roy, Hubert Saleur
Topological interfaces of two-dimensional conformal field theories contain information about symmetries of the theory and exhibit striking spectral and entanglement characteristics…
Quantum Electronic Circuits for Multicritical Ising Models
Ananda Roy
Multicritical Ising models and their perturbations are paradigmatic models of statistical mechanics. In two space-time dimensions, these models provide a fertile testbed for invest…
The quantum sine-Gordon model with quantum circuits
Ananda Roy, Dirk Schuricht, Johannes Hauschild +2
Analog quantum simulation has the potential to be an indispensable technique in the investigation of complex quantum systems. In this work, we numerically investigate a one-dimensi…
Concurrent Remote Entanglement with Quantum Error Correction
Ananda Roy, A. Douglas Stone, Liang Jiang
Remote entanglement of distant, non-interacting quantum entities is a key primitive for quantum information processing. We present a new protocol to remotely entangle two stationar…
Quantum-limited Parametric Amplification with Josephson Circuits in the Regime of Pump Depletion
Ananda Roy, Michel Devoret
Linear parametric amplification is a key operation in information processing. Our interest here is quantum-limited parametric amplification, , amplification of quantum signal…
Asymmetric frequency conversion in nonlinear systems driven by a biharmonic pump
Archana Kamal, Ananda Roy, John Clarke +1
A novel mechanism of asymmetric frequency conversion is investigated in nonlinear dispersive devices driven parametrically with a biharmonic pump. When the relative phase between t…
Lattice Topological Defects in Non-Unitary Conformal Field Theories
Madhav Sinha, Thiago Silva Tavares, Hubert Saleur +1
Topological defects play a fundamental role in the investigation of symmetries in quantum field theories. For conformal field theories in two space-time dimensions, it is possible…
Quantum phases of a one-dimensional Majorana-Bose-Hubbard model
Ananda Roy, Johannes Hauschild, Frank Pollmann
Majorana zero modes (MZM-s) occurring at the edges of a 1D, p-wave, spinless superconductor, in absence of fluctuations of the phase of the superconducting order parameter, are qui…
Entanglement entropy and negativity in the Ising model with defects
David Rogerson, Frank Pollmann, Ananda Roy
Defects in two-dimensional conformal field theories (CFTs) contain signatures of their characteristics. In this work, we compute the entanglement entropy (EE) and the entanglement…
Quantum phase transitions of the Majorana toric code in the presence of finite Cooper-pair tunneling
Ananda Roy, Barbara M. Terhal, Fabian Hassler
The toric code based on Majorana fermions on mesoscopic superconducting islands is a promising candidate for quantum information processing. In the limit of vanishing Cooper-pair t…
Boundary Conditions for the Entanglement Cut in 2D Conformal Field Theories
Ananda Roy, Sergei L. Lukyanov, Hubert Saleur
The entanglement spectra for a subsystem in a spin chain fine-tuned to a quantum-critical point contains signatures of the underlying quantum field theory that governs its low-ener…
Simulating the Transverse Field Ising Model on the Kagome Lattice using a Programmable Quantum Annealer
Pratyankara Narasimhan, Stephan Humeniuk, Ananda Roy +1
The presence of competing interactions due to geometry leads to frustration in quantum spin models. As a consequence, the ground state of such systems often displays a large degene…
Integrable RG Flows on Topological Defect Lines in 2D Conformal Field Theories
Thiago Silva Tavares, Madhav Sinha, Linnea Grans-Samuelsson +2
Topological defect lines (TDLs) in two-dimensional conformal field theories (CFTs) are standard examples of generalized symmetries in quantum field theory. Integrable lattice incar…
Critical properties of the Ising model in hyperbolic space
Nikolas P. Breuckmann, Benedikt Placke, Ananda Roy
The Ising model exhibits qualitatively different properties in hyperbolic space in comparison to its flat space counterpart. Due to the negative curvature, a finite fraction of the…
Topological Quantum Computing
Ananda Roy, David P. DiVincenzo
This set of lecture notes forms the basis of a series of lectures delivered at the 48th IFF Spring School 2017 on Topological Matter: Topological Insulators, Skyrmions and Majorana…
Lattice Realizations of Topological Defects in the critical (1+1)-d Three-State Potts Model
Madhav Sinha, Fei Yan, Linnea Grans-Samuelsson +2
Topological/perfectly-transmissive defects play a fundamental role in the analysis of the symmetries of two dimensional conformal field theories (CFTs). In the present work, spin c…
Charge response of the Majorana toric code
Ananda Roy, Fabian Hassler
At zero temperature, a two dimensional lattice of Majorana zero modes on mesoscopic superconducting islands has a topologically ordered toric code phase. Recently, a Landau field t…
Quantum Circuit Optimization using Differentiable Programming of Tensor Network States
David Rogerson, Ananda Roy
Efficient quantum circuit optimization schemes are central to quantum simulation of strongly interacting quantum many body systems. Here, we present an optimization algorithm which…
Soliton Confinement in a Quantum Circuit
Ananda Roy, Sergei L. Lukyanov
Confinement of topological excitations into particle-like states - typically associated with theories of elementary particles - are known to occur in condensed matter systems, aris…
Signatures of Topological Symmetries on a Noisy Quantum Simulator
Christopher Lamb, Robert M. Konik, Hubert Saleur +1
Topological symmetries, invertible and otherwise, play a fundamental role in the investigation of quantum field theories. Despite their ubiquitous importance across a multitude of…
Entanglement entropy in the Ising model with topological defects
Ananda Roy, Hubert Saleur
Entanglement entropy~(EE) contains signatures of many universal properties of conformal field theories~(CFTs), especially in the presence of boundaries or defects. In particular, {…
Dual Shapiro steps of a phase-slip junction in the presence of a parasitic capacitance
Lisa Arndt, Ananda Roy, Fabian Hassler
Bloch oscillations in a single Josephson junction in the phase-slip regime relate current to frequency. They can be measured by applying a periodic drive to a DC-biased, small Jose…
Dynamical structure factor in the non-Abelian phase of the Kitaev honeycomb model in the presence of quenched disorder
Daniel Otten, Ananda Roy, Fabian Hassler
Kitaev's model of spins interacting on a honeycomb lattice describes a quantum spin-liquid, where an emergent static gauge field is coupled to Majorana fermions. In…
Entanglement Hamiltonian of the 1+1-dimensional free, compactified boson conformal field theory
Ananda Roy, Frank Pollmann, Hubert Saleur
Entanglement or modular Hamiltonians play a crucial role in the investigation of correlations in quantum field theories. In particular, in 1+1 space-time dimensions, the spectra of…
Introduction to Quantum-limited Parametric Amplification of Quantum Signals with Josephson Circuits
Michel Devoret, Ananda Roy
This short and opinionated review starts with a concept of quantum signals at microwave frequencies and focuses on the principle of linear parametric amplification. The amplificati…
Remote Entanglement by Coherent Multiplication of Concurrent Quantum Signals
Ananda Roy, Liang Jiang, A. Douglas Stone +1
Concurrent remote entanglement of distant, non-interacting quantum entities is a crucial function for quantum information processing. In contrast with the existing protocols which…
Universal Euler-Cartan Circuits for Quantum Field Theories
Ananda Roy, Robert M. Konik, David Rogerson
Quantum computers can efficiently solve problems which are widely believed to lie beyond the reach of classical computers. In the near-term, hybrid quantum-classical algorithms, wh…
Simulating Lattice Gauge Theories with Virtual Rishons
David Rogerson, João Barata, Robert M. Konik +2
Classical tensor network and hybrid quantum-classical algorithms are promising candidates for the investigation of real-time properties of lattice gauge theories. We develop here a…
Integrability and lattice discretizations of all Topological Defect Lines in minimal CFTs
Madhav Sinha, Thiago Silva Tavares, Ananda Roy +1
We discuss in this paper the lattice discretizations of all topological defect lines (TDLs) for diagonal, minimal CFTs, using integrable restricted solid-on-solid (RSOS) models. Fo…
Quantum Electronic Circuit Simulation of Generalized sine-Gordon Models
Ananda Roy, Hubert Saleur
Investigation of strongly interacting, nonlinear quantum field theories (QFT-s) remains one of the outstanding challenges of modern physics. Here, we describe analog quantum simula…
Three-wave mixing with three incoming waves: Signal-Idler Coherent Cancellation and Gain Enhancement in a Parametric Amplifier
Flavius Schackert, Ananda Roy, Michael Hatridge +2
Coherent, purely-dispersive three-wave mixing systems in optics and superconducting microwave circuits can be operated as parametric amplifiers, generating from a pump wave at one…
Continuous Generation and Stabilization of Mesoscopic Field Superposition States in a Quantum Circuit
Ananda Roy, Zaki Leghtas, A. Douglas Stone +2
While dissipation is widely considered as being harmful for quantum coherence, it can, when properly engineered, lead to the stabilization of non-trivial pure quantum states. We pr…
Topological ordering in the Majorana Toric Code
Alexander Ziesen, Fabian Hassler, Ananda Roy
At zero temperature, a two-dimensional lattice of Majorana zero modes on mesoscopic superconducting islands exhibits a topologically-ordered toric code phase. Recently, a Landau fi…
Resonant production of the sterile neutrino dark matter and fine-tunings in the [nu]MSM
Ananda Roy, Mikhail Shaposhnikov
The generation of lepton asymmetry below the electroweak scale has a considerable impact on production of dark matter sterile neutrinos. Oscillations or decays of the heavier steri…
Renormalization of masses of sterile neutrinos in the [nu]MSM
Ananda Roy
The quasi-degeneracy of heavier sterile neutrino masses in the Neutrino Minimal Standard Model (MSM) facilitates the production of lepton asymmetry below the electroweak scale.…