Quantum simulation of open-system dynamical maps with trapped ions
arXiv:1212.2418 · doi:10.1038/nphys2630
Abstract
Dynamical maps describe general transformations of the state of a physical system, and their iteration can be interpreted as generating a discrete time evolution. Prime examples include classical nonlinear systems undergoing transitions to chaos. Quantum mechanical counterparts show intriguing phenomena such as dynamical localization on the single particle level. Here we extend the concept of dynamical maps to an open-system, many-particle context: We experimentally explore the stroboscopic dynamics of a complex many-body spin model by means of a universal quantum simulator using up to five ions. In particular, we generate long-range phase coherence of spin by an iteration of purely dissipative quantum maps. We also demonstrate the characteristics of competition between combined coherent and dissipative non-equilibrium evolution. This opens the door for studying many-particle non-equilibrium physics and associated dynamical phase transitions with no immediate counterpart in equilibrium condensed matter systems. An error detection and reduction toolbox that facilitates the faithful quantum simulation of larger systems is developed as a first step in this direction.
8 pages of main text containing 5 color figures, complemented by extensive and self-contained appendices
References in corpus (10)
- Quantum Computing
- Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
- Optical Quantum Computing
- An Open-System Quantum Simulator with Trapped Ions
- Dissipative preparation of entanglement in optical cavities
- Dynamical Phase Transitions and Instabilities in Open Atomic Many-Body Systems
- Quantum memories based on engineered dissipation
- Optical pumping into many-body entanglement
- Quantum State Preparation by Controlled Dissipation in Finite Time: From Classical to Quantum Controllers
- Bose-Einstein Condensate Driven by a Kicked Rotor in a Finite Box
Cited by in corpus (169)
- Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
- Quantum trajectories and open many-body quantum systems
- Keldysh Field Theory for Driven Open Quantum Systems
- Dissipative production of a maximally entangled steady state
- A quantum information processor with trapped ions
- IBM Q Experience as a versatile experimental testbed for simulating open quantum systems
- An Artificial Neuron Implemented on an Actual Quantum Processor
- Algebraic versus exponential decoherence in dissipative many-particle systems
- Geometry of quantum phase transitions
- Entanglement tongue and quantum synchronization of disordered oscillators
- Quantum stochastic processes and quantum non-Markovian phenomena
- The thermodynamic cost of driving quantum systems by their boundaries
- Quantum speedup in a memory environment
- Towards quantum simulation with circular Rydberg atoms
- Quantum computers as universal quantum simulators: state-of-art and perspectives
- Geometry and response of Lindbladians
- A Matrix-Product-Operator Approach to the Nonequilibrium Steady State of Driven-Dissipative Quantum Arrays
- Scalable reconstruction of density matrices
- Holonomic quantum control with continuous variable systems
- Local Detection of Quantum Correlations with a Single Trapped Ion
- Generalized Bose-Einstein condensation into multiple states in driven-dissipative systems
- Measurement-induced steering of quantum systems
- Mitigating realistic noise in practical noisy intermediate-scale quantum devices
- Driven open quantum systems and Floquet stroboscopic dynamics
- Quantum correlations near the exceptional point
- Universal simulation of Markovian open quantum systems
- One-dimensional many-body entangled open quantum systems with tensor network methods
- Non-Markovian quantum dynamics: What is it good for?
- Engineered dissipation induced entanglement transition in quantum spin chains: from logarithmic growth to area law
- Zeno Hall Effect
- A solvable family of driven-dissipative many-body systems
- Experimental implementation of fully controlled dephasing dynamics and synthetic spectral densities
- Generalised Dicke non-equilibrium dynamics in trapped ions
- Quantum simulation of dissipative collective effects on noisy quantum computers
- Digital quantum simulation of many-body non-Markovian dynamics
- Quantum resources for purification and cooling: fundamental limits and opportunities
- Lieb-Robinson bounds and the simulation of time evolution of local observables in lattice systems
- Experimental simulation of open quantum system dynamics via Trotterization
- Approach to a Parity Deformed Jaynes-Cummings Model and the Maximally Entangled States
- Dissipative ground-state preparation of a spin chain by a structured environment
- Non-equilibrium fixed points of coupled Ising models
- Quantum simulation of quantum channels in nuclear magnetic resonance
- Implementation of Chiral Quantum Optics with Rydberg and Trapped-ion Setups
- Measurement-free fault-tolerant quantum error correction in near-term devices
- Steady States of Infinite-Size Dissipative Quantum Chains via Imaginary Time Evolution
- Exploring quantum phases by driven dissipation
- Identifying a bath-induced Bose liquid in interacting spin-boson models
- Dissipative Universal Lindbladian Simulation
- Effective dynamics of strongly dissipative Rydberg gases
- Experimental bath engineering for quantitative studies of quantum control
- Experimental realization of high-fidelity teleportation via non-Markovian open quantum system
- Detecting metrologically useful entanglement in the vicinity of Dicke states
- Optimal witnessing of the quantum Fisher information with few measurements
- Experimental simulation of decoherence in photonics qudits
- Control of open quantum systems: Case study of the central spin model
- Dissipative preparation of phase- and number-squeezed states with ultracold atoms
- Out-of-equilibrium evolution of kinetically constrained many-body quantum systems under purely dissipative dynamics
- Classification of Matrix-Product Unitaries with Symmetries
- Dynamical and Steady State Properties of a Bose-Hubbard Chain with Bond-Dissipation: A Study based on Matrix Product Operators
- Steady state properties of a driven atomic ensemble with non-local dissipation
- Quantum Optimal Control for Mixed State Squeezing in Cavity Optomechanics
- Asymptotics of quantum channels: conserved quantities, an adiabatic limit, and matrix product states
- Simulation of single-qubit open quantum systems
- A Knob for Markovianity
- Driven Dissipative Majorana Dark Spaces
- Quantum effects in amplitude death of coupled anharmonic self-oscillators
- Obtaining pure steady states in nonequilibrium quantum systems with strong dissipative couplings
- Long-Range Coherence and Multiple Steady States in a Lossy Qubit Array
- Quantum Zeno and Anti-Zeno Effects on the Entanglement Dynamics of Qubits Dissipating into a Common and non-Markovian Environment
- Stochastic thermodynamics of quantum maps with and without equilibrium
- The physics and applications of strongly coupled plasmas levitated in electrodynamic traps
- Programmable quantum simulation by dynamic Hamiltonian engineering
- Quantum simulations with complex geometries and synthetic gauge fields in a trapped ion chain
- Many-Body Open Quantum Systems
- Spontaneous, collective coherence in driven, dissipative cavity arrays
- Decoherence scaling transition in the dynamics of quantum information scrambling
- Quantum circuit design for accurate simulation of qudit channels
- Uncovering the non-equilibrium phase structure of an open quantum spin system
- Dynamics and Protecting of Entanglement in Two-Level Systems Interacting with a Dissipative Cavity: The Gardiner-Collett Approach
- Towards dark space stabilization and manipulation in driven dissipative Majorana platforms
- Quantum optimal control of the dissipative production of a maximally entangled state
- Speed limits on correlations in bipartite quantum systems
- Ion trap architectures and new directions
- Fermionic quantum cellular automata and generalized matrix product unitaries
- Interacting lattice systems with quantum dissipation: a quantum Monte Carlo study
- Searching for Lindbladians obeying local conservation laws and showing thermalization
- Embedding Quantum Many-Body Scars into Decoherence-Free Subspaces
- High-fidelity dissipative engineering using parametric interactions
- Rectification in Nonequilibrium Steady States of Open Many-Body Systems
- Enhanced optomechanical entanglement and cooling via dissipation engineering
- Decompositions of Hilbert Spaces, Stability Analysis and Convergence Probabilities for Discrete-Time Quantum Dynamical Semigroups
- Thermodynamics of quantum trajectories on a quantum computer
- Bose-Hubbard lattice as a controllable environment for open quantum systems
- Linear-algebraic bath transformation for simulating complex open quantum systems
- Correlated Quantum Dynamics of a Single Atom Collisionally Coupled to an Ultracold Finite Bosonic Ensemble
- Ergodicity in randomly perturbed quantum systems
- A generic map from non-Lindblad to Lindblad master equations
- Exact stabilization of entangled states in finite time by dissipative quantum circuits
- Exploring non-equilibrium phases of the generalized Dicke model with a trapped Rydberg ion quantum simulator
- Stable-unstable transition for a Bose-Hubbard chain coupled to an environment
- Mean-field dynamics of open quantum systems with collective operator-valued rates: validity and application
- Phase diagram of quantum generalized Potts-Hopfield neural networks
- Quantum transitions and quantum entanglement from Dirac-like dynamics simulated by trapped ions
- Experimental repetitive quantum channel simulation
- Experimental quantification of spatial correlations in quantum dynamics
- Quantum and classical resources for unitary design of open-system evolutions
- Emergent phases and novel critical behavior in a non-Markovian open quantum system
- High-efficiency arbitrary quantum operation on a high-dimensional quantum system
- Dynamics of dissipative Bose-Einstein condensation
- Quantifying Spatial Correlations of General Quantum Dynamics
- Variational generalized rotating-wave approximation in the two-qubit quantum Rabi model
- Probing a dissipative phase transition with a trapped ion through reservoir engineering
- Exploring the impact of fluctuation-induced criticality on non-hermitian skin effect and quantum sensors
- A Perturbative Approach to Continuous-Time Quantum Error Correction
- Lyapunov exponents of quantum trajectories beyond continuous measurements
- Interplay of interaction and disorder in the steady state of an open quantum system
- Optimized parameter estimation in the presence of collective phase noise
- On the nature of the non-equilibrium phase transition in the non-Markovian driven Dicke model
- Floquet stroboscopic divisibility in non-Markovian dynamics
- A quantum fluctuation theorem for any Lindblad master equation
- Light propagation through one-dimensional interacting open quantum systems
- Targeting pure quantum states by strong noncommutative dissipation
- Emergence of steady quantum transport in a superconducting processor
- Single Qubit Error Mitigation by Simulating Non-Markovian Dynamics
- Switching Quantum Dynamics for Fast Stabilization
- Quasienergy operators and generalized squeezed states for systems of trapped ions
- Dissipative Preparation of Antiferromagnetic Order in the Fermi-Hubbard Model
- Exact solution of the boundary-dissipated transverse field Ising model: Structure of Liouvillian spectrum and dynamical duality
- Dissipative Bose-Einstein condensation in contact with a thermal reservoir
- Site-wise manipulations and Mott insulator-superfluid transition of interacting photons using superconducting circuit simulators
- Entanglement Measures in Ion-Trap Quantum Simulators without Full Tomography
- Quantum Atom Optics: Theory and Applications to Quantum Technology
- Simulating open quantum systems with giant atoms
- Solvable Markovian dynamics of lattice quantum spin models
- Microscopic biasing of discrete-time quantum trajectories
- Unfolding quantum master equation into a system of real-valued equations: computationally effective expansion over the basis of generators
- Simulating finite-time quantum isothermal processes with generic superconducting quantum circuit
- Ground-state Stabilization of Open Quantum Systems by Dissipation
- Noise-induced transport in the motion of trapped ions
- Quantum algorithms for cooling: a simple case study
- RF-induced heating dynamics of non-crystallized trapped ions
- Characterizing quantum instruments: from non-demolition measurements to quantum error correction
- Dissipative two-dimensional Raman lattice
- Quantum simulating an experiment: Light interference from single ions and their mirror images
- Schrödinger cat and Werner state disentanglement simulated by trapped ion systems
- Floquet expansion by counting pump photons
- Lindbladians with multiple steady states: theory and applications
- Vortex formation and dynamics in two-dimensional driven-dissipative condensates
- Quantum logic spectroscopy with ions in thermal motion
- Phase-space elementary information content of confined Dirac spinors
- Quantum engineering of a synthetic thermal bath for bosonic atoms in a one-dimensional optical lattice via Markovian feedback control
- Topology and its detection in a dissipative Aharonov-Bohm chain
- Optimal quantum simulation of open quantum systems
- Noise as a resource
- Biasing quantum trajectories for enhanced sensing
- Signatures of Quantum Phase Transitions in Driven Dissipative Spin Chains
- Digital Quantum Simulation of the Lindblad Master Equation and Its Nonlinear Extensions via Quantum Trajectory Averaging
- Alternating Projections Methods for Discrete-time Stabilization of Quantum States
- Localization-delocalization effects of a delocalizing dissipation on disordered XXZ spin chains
- Discovery of energy landscapes towards optimized quantum transport: Environmental effects and long-range tunneling
- Thermal masses and trapped-ion quantum spin models: a self-consistent approach to Yukawa-type interactions in the model
- Characterizing dynamical behaviors in topological open systems with boundary dissipations
- Strong symmetries in collision models and physical dilations of covariant quantum maps
- Dirac bi-spinor entanglement under local noise and its simulation by Jaynes-Cummings interactions
- A Lie Theoretic Framework for Controlling Open Quantum Systems
- Quantum equilibration of a model system Porphine
- Distributed finite-time stabilization of entangled quantum states on tree-like hypergraphs
- Nonadiabatic evolution and thermodynamics for a boundary-driven system with a weak intrasubsystem interaction
- Semidefinite programming for understanding the limitations of Lindblad equations