Efficient exploration of Hamiltonian parameter space for optimal control of non-Markovian open quantum systems

Abstract

We present a general method to efficiently design optimal control sequences for non-Markovian open quantum systems, and illustrate it by optimizing the shape of a laser pulse to prepare a quantum dot in a specific state. The optimization of control procedures for quantum systems with strong coupling to structured environments -- where time-local descriptions fail -- is a computationally challenging task. We modify the numerically exact time evolving matrix product operator (TEMPO) method, such that it allows the repeated computation of the time evolution of the reduced system density matrix for various sets of control parameters at very low computational cost. This method is potentially useful for studying numerous optimal control problems, in particular in solid state quantum devices where the coupling to vibrational modes is typically strong.

6 pages, 3 figures

References in corpus (6)

• Perspective: Numerically "exact" approach to open quantum dynamics: The hierarchical equations of motion (HEOM)
• Exact mapping between system-reservoir quantum models and semi-infinite discrete chains using orthogonal polynomials
• Operational Markov condition for quantum processes
• Non-perturbative treatment of non-Markovian dynamics of open quantum systems
• Phonon induced Rabi frequency renormalization of optically driven single InGaAs/GaAs quantum dots
• Time-optimal purification of a qubit in contact with a structured environment

Cited by in corpus (57)

• Non-Markovian Quantum Process Tomography
• Exact dynamics of non-additive environments in non-Markovian open quantum systems
• A theoretical perspective on molecular polaritonics
• Introduction to Theoretical and Experimental aspects of Quantum Optimal Control
• Using the Environment to Understand non-Markovian Open Quantum Systems
• Open Quantum System Dynamics from Infinite Tensor Network Contraction
• Efficient many-body non-Markovian dynamics of organic polaritons
• Many-body quantum state diffusion for non-Markovian dynamics in strongly interacting systems
• Tensor network simulation of chains of non-Markovian open quantum systems
• Sublinear scaling in non-Markovian open quantum systems simulations
• Grassmann Time-Evolving Matrix Product Operators for Quantum Impurity Models
• OQuPy: A Python package to efficiently simulate non-Markovian open quantum systems with process tensors
• Numerical evaluation and robustness of the quantum mean force Gibbs state
• A Pairwise Connected Tensor Network Representation of Path Integrals
• Unveiling non-Markovian spacetime signalling in open quantum systems with long-range tensor network dynamics
• ACE: A general-purpose non-Markovian open quantum systems simulation toolkit based on process tensors
• Network Nonlocality via Rigidity of Token-Counting and Color-Matching
• Extracting Quantum Dynamical Resources: Consumption of Non-Markovianity for Noise Reduction
• Optimal control and selectivity of qubits in contact with a structured environment
• Heat Current in Non-Markovian Open Systems
• Grassmann Time-Evolving Matrix Product Operators for Equilibrium Quantum Impurity Problems
• Structured quantum collision models: generating coherence with thermal resources
• Optimizing performance of quantum operations with non-Markovian decoherence: the tortoise or the hare?
• Real-time Impurity Solver Using Grassmann Time-Evolving Matrix Product Operators
• Process tensor approaches to modeling two-dimensional spectroscopy
• Infinite Grassmann Time-Evolving Matrix Product Operator Method in the Steady State
• From Non-Markovian Dissipation to Spatiotemporal Control of Quantum Nanodevices
• Dynamical correlation functions from complex time evolution
• Efficient construction of the Feynman-Vernon influence functional as matrix product states
• Giant rectification in strongly-interacting driven tilted systems
• Capturing long-range memory structures with tree-geometry process tensors
• Efficient population transfer in a quantum dot exciton under phonon-induced decoherence via shortcuts to adiabaticity
• Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe
• Signatures of Non-Markovianity in Cavity-QED with Color Centers in 2D Materials
• Grassmann time-evolving matrix product operators: An efficient numerical approach for fermionic path integral simulations
• Universal bounds for quantum metrology in the presence of correlated noise
• Tree-like process tensor contraction for automated compression of environments
• Experimental realization of quantum non-Markovianity through the convex mixing of Pauli semigroups on an NMR quantum processor
• Non-Markovian effects in stochastic resonance in a two level system
• Understanding and utilizing the inner bonds of process tensors
• Quantifying spectral signatures of non-Markovianity beyond the Born-Redfield master equation
• Path Integral Formalism for Quantum Open Systems
• Quantum correlations of a two-qubit system and the Aubry-André chain in bosonic environments
• Unifying non-Markovian characterisation with an efficient and self-consistent framework
• Infinite Grassmann time-evolving matrix product operator method for zero-temperature equilibrium quantum impurity problems
• Coherence limitations in the optical control of the singlet-triplet qubit in a quantum dot molecule
• Non-Markovian effects in long-range polariton-mediated energy transfer
• Verifying Quantum Memory in the Dynamics of Spin Boson Models
• Engineering the uncontrollable: Steering noisy spin-correlated radical-pairs with coherent and incoherent control
• Multi-time quantum process tomography on a superconducting qubit
• Gate-based protocol simulations for quantum repeaters using quantum-dot molecules in switchable electric fields
• Time evolving matrix product operator (TEMPO) method in a non-diagonal basis set based on derivative of the path integral expression
• Extracting Coupling-Mode Spectral Densities with Two-Dimensional Electronic Spectroscopy
• Process Tensor Approaches to Non-Markovian Quantum Dynamics
• Hamiltonian Model for Fault Tolerant Singlet-Like Excitation: First Principles Approach
• Purified pseudomode model for nonlinear system-bath interactions
• Uniform process tensor approach for the calculation of multi-time correlation functions of non-Markovian open systems