Experimental Hamiltonian identification for controlled two-level systems

Abstract

We present a strategy to empirically determine the internal and control Hamiltonians for an unknown two-level system (black box) subject to various (piecewise constant) control fields when direct readout by measurement is limited to a single, fixed observable.

approx 4 pages, 5 figures, RevTeX, minor corrections/notational changes

References in corpus (8)

• Quantum Computation with Quantum Dots
• Quantum state engineering with Josephson-junction devices
• Coherent control of macroscopic quantum states in a single-Cooper-pair box
• Complete Characterization of a Quantum Process: the Two-Bit Quantum Gate
• Josephson-Junction Qubits with Controlled Couplings
• Charge-based quantum computing using single donors in semiconductors
• Resonant Cooper Pair Tunneling: Quantum Noise and Measurement Characteristics
• Measuring charge based quantum bits by a superconducting single-electron transistor

Cited by in corpus (41)

• Coherent electronic transfer in quantum dot systems using adiabatic passage
• Spin transport and quasi 2D architectures for donor-based quantum computing
• Gate Set Tomography
• Scanning Quantum Decoherence Microscopy
• A Quantum Hamiltonian Identification Algorithm: Computational Complexity and Error Analysis
• Identifying an Experimental Two-State Hamiltonian to Arbitrary Accuracy
• Integrated tool-set for Control, Calibration and Characterization of quantum devices applied to superconducting qubits
• Characterization of a qubit Hamiltonian using adaptive measurements in a fixed basis
• Hamiltonian Tomography via Quantum Quench
• Differential Evolution for Many-Particle Adaptive Quantum Metrology
• Probing quantum processor performance with pyGSTi
• Robust Entanglement in Anti-ferromagnetic Heisenberg Chains by Single-spin Optimal Control
• Two-Qubit Hamiltonian Tomography by Bayesian Analysis of Noisy Data
• Hamiltonian tomography for quantum many-body systems with arbitrary couplings
• Scheme for direct measurement of a general two-qubit Hamiltonian
• Identifying a Two-State Hamiltonian in the Presence of Decoherence
• Scalable Hamiltonian learning for large-scale out-of-equilibrium quantum dynamics
• Global Control Methods for GHZ State Generation on 1-D Ising Chain
• Direct measurement of quantum Fisher information
• Optimizing fingerprinting experiments for parameter identification: Application to spin systems
• Precision characterisation of two-qubit Hamiltonians via entanglement mapping
• A gradient algorithm for Hamiltonian identification of open quantum systems
• Quantum System Identification by Bayesian Analysis of Noisy Data: Beyond Hamiltonian Tomography
• Guidance and Control in a Josephson Charge Qubit
• The ubiquitous problem of learning system parameters for dissipative two-level quantum systems: Fourier analysis versus Bayesian estimation
• Controlled phase gate for solid-state charge qubits
• Robustly learning the Hamiltonian dynamics of a superconducting quantum processor
• An inverse-system method for identification of damping rate functions in non-Markovian quantum systems
• Quantum system characterization with limited resources
• Physics-based mathematical models for quantum devices via experimental system identification
• Hamiltonian tomography by the quantum quench protocol with random noise
• A greedy reconstruction algorithm for the identification of spin distribution
• An interleaved sampling scheme for the characterization of single qubit dynamics
• Spectroscopy of a Cooper-Pair box in the Autler-Townes configuration
• Quantum System Identification: Hamiltonian Estimation using Spectral and Bayesian Analysis
• Improving quantum gate fidelities using optimized Euler angles
• Combining $T_1$ and $T_2$ estimation with randomized benchmarking and bounding the diamond distance
• Newton algorithm for Hamiltonian characterization in quantum control
• Characterization and Control of Quantum Spin Chains and Rings
• Model discrimination for dephasing two-level systems
• Dual Map Framework for Noise Characterization of Quantum Computers