Controlling open quantum systems: Tools, achievements, and limitations
arXiv:1603.04417 · doi:10.1088/0953-8984/28/21/213001
Abstract
The advent of quantum devices, which exploit the two essential elements of quantum physics, coherence and entanglement, has sparked renewed interest in the control of open quantum systems. Successful implementations face the challenge to preserve the relevant nonclassical features at the level of device operation. A major obstacle is decoherence which is caused by interaction with the environment. Optimal control theory is a tool that can be used to identify control strategies in the presence of decoherence. We review here recent advances in optimal control methodology that allow for tackling typical tasks in device operation for open quantum systems and discuss examples of relaxation-optimized dynamics. Optimal control theory is also a useful tool to exploit the environment for control. We discuss examples and point out possible future extensions.
References in corpus (46)
- Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- Dynamical decoupling and noise spectroscopy with a superconducting flux qubit
- Robust randomized benchmarking of quantum processes
- Optimized Dynamical Decoupling in a Model Quantum Memory
- Assessing non-Markovian dynamics
- Fault-Tolerant Quantum Dynamical Decoupling
- How to Enhance Dephasing Time in Superconducting Qubits
- Direct Fidelity Estimation from Few Pauli Measurements
- Non-Markovian quantum jumps
- Optical pumping and vibrational cooling of molecules
- Modeling and Control of Quantum Systems: An Introduction
- Single Ion Quantum Lock-In Amplifier
- Singular extremals for the time-optimal control of dissipative spin 1/2 particles
- Generation of EPR-entangled radiation through an atomic reservoir
- Experimental noise filtering by quantum control
- Environment assisted speed-up of the field evolution in cavity QED
- Microwave potentials and optimal control for robust quantum gates on an atom chip
- Quantum control by von Neumann measurements
- A General Transfer-Function Approach to Noise Filtering in Open-Loop Quantum Control
- Local observation of antibunching in a trapped Fermi gas
- Teaching the Environment to Control Quantum Systems
- Optimizing number squeezing when splitting a mesoscopic condensate
- The Quantum Refrigerator: The quest for absolute zero
- Characterizing non-Markovianity via quantum interferometric power
- Controllability of open quantum systems with Kraus-map dynamics
- General Non-Markovian structure of Gaussian Master and Stochastic Schrödinger Equations
- Photon storage in Lambda-type optically dense atomic media. IV. Optimal control using gradient ascent
- Optimal control of atom transport for quantum gates in optical lattices
- Single-Spin Spectrum-Analyzer for a Strongly Coupled Environment
- Thermal Instability of Protected End States in a 1-D Topological Insulator
- The Quantum Speed Limit of Optimal Controlled Phasegates for Trapped Neutral Atoms
- Optimizing for an arbitrary perfect entangler: I. Functionals
- Quantum Computing in Plato's Cave
- Quantum resources for purification and cooling: fundamental limits and opportunities
- Optimizing for an arbitrary perfect entangler. II. Application
- Observation-assisted optimal control of quantum dynamics
- Arbitrary quantum-state preparation of a harmonic oscillator via optimal control
- Cooling through optimal control of quantum evolution
- Global Control Methods for GHZ State Generation on 1-D Ising Chain
- Searching for quantum optimal controls under severe constraints
- Quantum control of polaron states in semiconductor quantum dots
- Optimal Control of Quantum Measurement
- Numerical method for finding decoherence-free subspaces and its applications
- Optimal qudit operator bases for efficient characterization of quantum gates
- Efficient Monte Carlo characterization of quantum operations for qudits
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- One decade of quantum optimal control in the chopped random basis
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- Shortcut to Equilibration of an Open Quantum System
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- NISQ Computers: A Path to Quantum Supremacy
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- A Tutorial on Optimal Control and Reinforcement Learning methods for Quantum Technologies
- Introduction to Theoretical and Experimental aspects of Quantum Optimal Control
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- Speeding up Thermalisation via Open Quantum System Variational Optimisation
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- Qudit entanglers using quantum optimal control
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- Quantum Zeno and Anti-Zeno probes of noise correlations in photon polarisation
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- Optimally controlled quantum discrimination and estimation
- Entangling protocols due to non-Markovian dynamics
- Singularity-free quantum tracking control of molecular rotor orientation
- Quantum Pyragas control: Selective-control of individual photon probabilities
- Survey of the Hierarchical Equations of Motion in Tensor-Train format for non-Markovian quantum dynamics
- Quantum simulation of non-Markovianity using the quantum Zeno effect
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- Minimal Time Generation of Density Matrices for a Two-Level Quantum System Driven by Coherent and Incoherent Controls
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- Rovibrational optical cooling of a molecular beam
- Pontus-Mpemba effects
- Variational approach to the optimal control of coherently driven, open quantum system dynamics
- Action-Noise-Assisted Quantum Control
- Dynamical invariant based shortcut to equilibration in open quantum systems
- Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications
- Strong-coupling emergence of dark states in XX central spin models
- Macroscopic Hyperpolarization Enhanced with Quantum Optimal Control
- Analysis of the non-Markovianity for electron transfer reactions in an oligothiophene-fullerene heterojunction
- Optimal control and selectivity of qubits in contact with a structured environment
- High-efficiency arbitrary quantum operation on a high-dimensional quantum system
- Uncomputability and complexity of quantum control
- qopt: An experiment-oriented Qubit Simulation and Quantum Optimal Control Package
- Engineering unsteerable quantum states with active feedback
- Robust quantum control with disorder-dressed evolution
- Optimal amplification of the dynamical Casimir effect in a parametrically driven system
- Taming quantum systems: A tutorial for using shortcuts-to-adiabaticity, quantum optimal control, and reinforcement learning
- Majorana bound state engineering via efficient real-space parameter optimization
- Optimal entanglement generation in optomechanical systems via Krotov control of covariance matrix dynamics
- Control-enhanced quantum metrology under Markovian noise
- Optimal control in large open quantum systems: the case of transmon readout and reset
- Microscopic and phenomenological models of driven systems in structured reservoirs
- Spin-chain-star systems: entangling multiple chains of spin qubits
- Optimizing performance of quantum operations with non-Markovian decoherence: the tortoise or the hare?
- Searching for an optimal control in the presence of saddles on the quantum mechanical observable landscape
- Designing dynamically corrected gates robust to multiple noise sources using geometric space curves
- Integrability and quench dynamics in the spin-1 central spin XX model
- Shortcuts to adiabatic state transfer in time-modulated two-level non-Hermitian systems
- Convex Optimization for Nonequilibrium Steady States on a Hybrid Quantum Processor
- Bexcitonics: Quasi-particle approach to open quantum dynamics
- Information Theoretical Limits for Quantum Optimal Control Solutions: Error Scaling of Noisy Channels
- The History of Quantum Games
- Trajectory tracking for non-Markovian quantum systems
- Non-Markovian to Markovian decay in structured environments with correlated disorder
- Information flow and error scaling for fully-quantum control
- Basic mechanisms in the laser control of non-Markovian dynamics
- Mitigating controller noise in quantum gates using optimal control theory
- Time-local optimal control for parameter estimation in the Gaussian regime
- A greedy reconstruction algorithm for the identification of spin distribution
- Invariant Neural Network Ansatz for weakly symmetric Open Quantum Lattices
- On the complexity of the steady-state of weakly symmetric open quantum lattices
- Dissipative Quantum Dynamics and Optimal Control using Iterative Time Ordering: An Application to Superconducting Qubits
- Optimal control for Hamiltonian parameter estimation in non-commuting and bipartite quantum dynamics
- Purity Speed Limit of Open Quantum Systems from Magic Subspaces
- Optimal parent Hamiltonians for time-dependent states
- Open quantum dynamics of strongly coupled oscillators with multi-configuration time-dependent Hartree propagation and Markovian quantum jumps
- Locally optimal control of continuous variable entanglement
- Unifying methods for optimal control in non-Markovian quantum systems via process tensors
- Geometric correspondence of noisy quantum dynamics and universal robust quantum gates
- Towards Laser Control of Open Quantum Systems: Memory Effects
- Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe
- Numerical estimation of reachable and controllability sets for a two-level open quantum system driven by coherent and incoherent controls
- Higher-order gap ratios of singular values in open quantum systems
- On optimization of coherent and incoherent controls for two-level quantum systems
- Control landscapes for high-fidelity generation of C-NOT and C-PHASE gates with coherent and environmental driving
- Quantum tracking control of the orientation of symmetric top molecules
- Bayesian Optimization for Robust State Preparation in Quantum Many-Body Systems
- Critical slowing down and entanglement protection
- Control of the von Neumann Entropy for an Open Two-Qubit System Using Coherent and Incoherent Drives
- Error-budgeting for a controlled-phase gate with strontium-88 Rydberg atoms
- Complete positivity, positivity and long-time asymptotic behavior in a two-level open quantum system
- Generation of C-NOT, SWAP, and C-Z Gates for Two Qubits Using Coherent and Incoherent Controls and Stochastic Optimization
- Control limit on quantum state preparation under decoherence
- Optimizing for an arbitrary Schrödinger cat state
- Experimental realization of optimal time-reversal on an atom chip for quantum undo operations
- On the detailed structure of quantum control landscape for fast single qubit phase-shift gate generation
- Hamiltonian Switching Control of Noisy Bipartite Qubit Systems
- Exploring the limits of the generation of non-classical states of spins coupled to a cavity by optimal control
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- Spectral Densities, Structured Noise and Ensemble Averaging within Open Quantum Dynamics
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- Local gradient optimization of leakage-suppressing entangling sequences
- Quantum state-preparation control in noisy environment via most-likely paths
- Extracting filtered signal statistics of continuously measured quantum systems
- Engineering Precise and Robust Effective Hamiltonians
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- Liouville Fock state lattices and potential simulators
- On the energetic analysis of autonomous quantum systems
- Tuning the terahertz response of liquids by creating polar many-body excitations
- Quantum speed limit and nonclassicality in open quantum system models using the Wigner function
- Simultaneous control of populations and coherence phase of open two-level quantum systems with a single pulse
- Geometric Interpretation of Sensitivity to Structured Uncertainties in Spintronic Networks
- Dissipative Yao-Lee Spin-Orbital Model: Exact Solvability and Symmetry Breaking
- Quantum Optimal Control for Pure-State Preparation Using One Initial State
- Coherent dynamical control of quantum processes
- Diverse efficiency of observable optimization for four-level quantum systems with higher-order traps
- Experimental verification of the inertial theorem control protocols
- Entropy production versus memory effects in two-level open quantum systems
- Trajectory-independent speed limits for controlled open quantum systems
- Counterdiabatic driving for random-gap Landau-Zener transitions
- Global-Local Duality of Energetic Control Cost in Multipartite Quantum Correlated Systems
- Low-rank optimal control of quantum devices
- Exact -point function mapping between pairs of experiments with Markovian open quantum systems
- Engineering Strong Beamsplitter Interaction between Bosonic Modes via Quantum Optimal Control Theory
- Fully differentiable optimization protocols for non-equilibrium steady states
- CDJ-Pontryagin Optimal Control for General Continuously Monitored Quantum Systems