Hamiltonian tomography in an access-limited setting without state initialization

Abstract

We propose a scheme for the determination of the coupling parameters in a chain of interacting spins. This requires only time-resolved measurements over a single particle, simple data post-processing and no state initialization or prior knowledge of the state of the chain. The protocol fits well into the context of quantum-dynamics characterization and is efficient even when the spin-chain is affected by general dissipative and dephasing channels. We illustrate the performance of the scheme by analyzing explicit examples and discuss possible extensions.

4 pages, 2 figures, RevTeX4

References in corpus (12)

• Perfect state transfer in quantum spin networks
• Measuring measurement
• Perfect state transfer on a spin-chain without state initialization
• Coupling strength estimation for spin chains despite restricted access
• Identifying an Experimental Two-State Hamiltonian to Arbitrary Accuracy
• Quantum state transfer in imperfect artificial spin networks
• Scheme for direct measurement of a general two-qubit Hamiltonian
• Identifying a Two-State Hamiltonian in the Presence of Decoherence
• Nested entangled states for distributed quantum channels
• Information-flux approach to multiple-spin dynamics
• A deeper insight into quantum state transfer from an information flux viewpoint
• Role of interference in quantum state transfer through spin chains

Cited by in corpus (64)

• Gate Set Tomography
• Learning a local Hamiltonian from local measurements
• Learning Quantum Systems
• Quantum Hamiltonian identification from measurement time traces
• Memory-keeping effects and forgetfulness in the dynamics of a qubit coupled to a spin chain
• Scalable quantum computation via local control of only two qubits
• A Quantum Hamiltonian Identification Algorithm: Computational Complexity and Error Analysis
• Quantum System Identification
• Variational Quantum Algorithm for Estimating the Quantum Fisher Information
• 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
• Indirect Quantum Tomography of Quadratic Hamiltonians
• Hamiltonian identifiability assisted by single-probe measurement
• Quantum state tomography by continuous measurement and compressed sensing
• Learning models of quantum systems from experiments
• Coherent state transfer via highly mixed quantum spin chains
• Hamiltonian Learning for Quantum Error Correction
• Learning the dynamics of open quantum systems from their steady states
• Identification of open quantum systems from observable time traces
• Hamiltonian tomography for quantum many-body systems with arbitrary couplings
• Quantum metrology with non-equilibrium steady states of quantum spin chains
• Learning Quantum Hamiltonians from Single-qubit Measurements
• Structure identification and state initialization of spin networks with limited access
• Transport of Quantum Correlations across a spin chain
• Evolution-free Hamiltonian parameter estimation through Zeeman markers
• Quantum Hamiltonian Identifiability via a Similarity Transformation Approach and Beyond
• Adversarial Hamiltonian learning of quantum dots in a minimal Kitaev chain
• Exact dimension estimation of interacting qubit systems assisted by a single quantum probe
• Global Quantum Correlation in the Ising model
• Characterizing multipartite symmetric Dicke states under the effects of noise
• Direct reconstruction of the quantum master equation dynamics of a trapped ion qubit
• Compressed sensing for Hamiltonian reconstruction
• A gradient algorithm for Hamiltonian identification of open quantum systems
• Mixed-state quantum transport in correlated spin networks
• The advantage of quantum control in many-body Hamiltonian learning
• Estimation of Coupling Constants of a Three-Spin Chain: Case Study of Hamiltonian Tomography with NMR
• Optimizing the information extracted by a single qubit measurement
• Optimal short-time measurements for Hamiltonian learning
• Tomography of time-dependent quantum spin networks with machine learning
• Robustly learning the Hamiltonian dynamics of a superconducting quantum processor
• Quantifying hole-motion-induced frustration in doped antiferromagnets by Hamiltonian reconstruction
• Machine Learning for Estimation and Control of Quantum Systems
• Stochastic approach for quantum metrology with generic Hamiltonians
• Hamiltonian tomography by the quantum quench protocol with random noise
• On the capability of a class of quantum sensors
• Hamiltonian learning with real-space impurity tomography in topological moire superconductors
• Reconstructing effective Hamiltonians from nonequilibrium (pre-)thermal steady states
• Machine learning the Kondo entanglement cloud from local measurements
• Finding Traps in Non-linear Spin Arrays
• State-Transfer Simulation in Integrated Waveguide Circuits
• Learning a quantum channel from its steady-state
• Inferring interpretable dynamical generators of local quantum observables from projective measurements through machine learning
• Probing untouchable environment as a resource for quantum computing
• When can a local Hamiltonian be recovered from a steady state?
• Learning quantum dissipation by the neural ordinary differential equation
• Algebra and Hilbert space structures induced by quantum probes
• Efficient and robust estimation of many-qubit Hamiltonians
• Bypassing state initialization in Hamiltonian tomography on spin-chains
• Hamiltonian Determination with Restricted Access in Transverse Field Ising Chain
• 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
• Learning and simulating bosonic systems via finite-energy locality