Coupling strength estimation for spin chains despite restricted access

Abstract

Quantum control requires full knowledge of the system many-body Hamiltonian. In many cases this information is not directly available due to restricted access to the system. Here we show how to indirectly estimate all the coupling strengths in a spin chain by measuring one spin at the end of the chain. We also discuss the efficiency of this "quantum inverse problem" and give a numerical example.

improved version with additional reference

References in corpus (3)

• Bounds on Information Propagation in Disordered Quantum Spin Chains
• Optimal state encoding for quantum walks and quantum communication over spin systems
• Physics-based mathematical models for quantum devices via experimental system identification

Cited by in corpus (73)

• Quantum spin squeezing
• Quantum control theory and applications: A survey
• Robust Quantum State Transfer in Random Unpolarized Spin Chains
• Learning a local Hamiltonian from local measurements
• Quantum Hamiltonian identification from measurement time traces
• Scalable quantum computation via local control of only two qubits
• Local controllability of quantum networks
• Hamiltonian tomography in an access-limited setting without state initialization
• Quantum System Identification
• Efficient estimation of nearly sparse many-body quantum Hamiltonians
• Integrated tool-set for Control, Calibration and Characterization of quantum devices applied to superconducting qubits
• Indirect Hamiltonian Identification through a small gateway
• Hamiltonian Tomography via Quantum Quench
• Quantum router based on ac control of qubit chains
• Indirect Quantum Tomography of Quadratic Hamiltonians
• Hamiltonian identifiability assisted by single-probe measurement
• Coherent state transfer via highly mixed quantum spin chains
• System identification for passive linear quantum systems
• Hamiltonian Learning for Quantum Error Correction
• Robust Entanglement in Anti-ferromagnetic Heisenberg Chains by Single-spin Optimal Control
• Learning the dynamics of open quantum systems from their steady states
• Fast, high fidelity information transmission through spin chain quantum wires
• Identification of open quantum systems from observable time traces
• Hamiltonian tomography for quantum many-body systems with arbitrary couplings
• Inverse Landau-Zener-Stuckelberg problem for qubit-resonator systems
• Perfect State Transfer without State Initialization and Remote Collaboration
• Transport of Quantum Correlations across a spin chain
• Structure identification and state initialization of spin networks with limited access
• Evolution-free Hamiltonian parameter estimation through Zeeman markers
• Quantum state transfer in a disordered one-dimensional lattice
• Effect of perturbations on information transfer in spin chains
• Scalable Hamiltonian learning for large-scale out-of-equilibrium quantum dynamics
• Quantum Hamiltonian Identifiability via a Similarity Transformation Approach and Beyond
• Global Control Methods for GHZ State Generation on 1-D Ising Chain
• Computation on Spin Chains with Limited Access
• Practical Black Box Hamiltonian Learning
• Hamiltonian Tomography of Photonic Lattices
• Compressed sensing for Hamiltonian reconstruction
• Single-preparation unsupervised quantum machine learning: concepts and applications
• Quantum Data Bus in Dipolar Coupled Nuclear Spin Qubits
• Quantum metamaterial without local control
• Quantum System Identification by Bayesian Analysis of Noisy Data: Beyond Hamiltonian Tomography
• Estimation of Coupling Constants of a Three-Spin Chain: Case Study of Hamiltonian Tomography with NMR
• Quantum Control Theory for State Transformations: Dark States and their Enlightenment
• Quantum Hamiltonian Identification with Classical Colored Measurement Noise
• Parent Hamiltonian Reconstruction of Jastrow-Gutzwiller Wavefunctions
• Estimation of Spin-Spin Interaction by Weak Measurement Scheme
• Optimal short-time measurements for Hamiltonian learning
• Robustly learning the Hamiltonian dynamics of a superconducting quantum processor
• Tomography of time-dependent quantum spin networks with machine learning
• Remote Parameter Estimation in a Quantum Spin Chain Enhanced by Local Control
• Quantum system characterization with limited resources
• Knitting distributed cluster state ladders with spin chains
• Reconstructing effective Hamiltonians from nonequilibrium (pre-)thermal steady states
• On the capability of a class of quantum sensors
• Finding Traps in Non-linear Spin Arrays
• Negative Refraction of Excitations in the Bose-Hubbard Model
• Learning a quantum channel from its steady-state
• Noise-spectroscopy of multiqubit systems: Determining all their parameters by applying an external classical noise
• Probing untouchable environment as a resource for quantum computing
• When can a local Hamiltonian be recovered from a steady state?
• QMetrology from QCosmology: Study with Entangled Two Qubit Open Quantum System in De Sitter Space
• Supervised Training of Neural-Network Quantum States for the Next Nearest Neighbor Ising model
• Characterization and Control of Quantum Spin Chains and Rings
• Sudden switch of generalized Lieb-Robinson velocity in a transverse field Ising spin chain
• Dimerized Decomposition of Quantum Evolution on an Arbitrary Graph
• Bypassing state initialization in Hamiltonian tomography on spin-chains
• Hamiltonian Determination with Restricted Access in Transverse Field Ising Chain
• Applicability of coupling strength estimation for linear chains of restricted access
• Enhancing the spreading of quantum walks on star graphs by additional bonds
• Lindbladian reverse engineering for general non-equilibrium steady states: A scalable null-space approach
• A controlled-NOT gate in a chain of qubits embedded in a spin field-effect transistor and its process tomography
• Characterizing errors in parameter estimation by local measurements