Evolution-free Hamiltonian parameter estimation through Zeeman markers

Abstract

We provide a protocol for Hamiltonian parameter estimation which relies only on the Zeeman effect. No time-dependent quantities need to be measured, it fully suffices to observe spectral shifts induced by fields applied to local `markers'. We demonstrate the idea with a simple tight-binding Hamiltonian and numerically show stability with respect to Gaussian noise on the spectral measurements. Then we generalize the result to show applicability to a wide range of systems, including quantum spin chains, networks of qubits, and coupled harmonic oscillators, and suggest potential experimental implementations.

5 pages, 2 figures

References in corpus (26)

• Quantum Communication Through an Unmodulated Spin Chain
• Quantum computation with ions in thermal motion
• Effective quantum spin systems with ion traps
• Emergence and Frustration of Magnetic Order with Variable-Range Interactions in a Trapped Ion Quantum Simulator
• Scalable Architecture for a Room Temperature Solid-State Quantum Information Processor
• Algorithmic Cooling and Scalable NMR Quantum Computers
• Near-zero-field nuclear magnetic resonance
• Quantum Hamiltonian identification from measurement time traces
• Coupling strength estimation for spin chains despite restricted access
• Quantum Phase Transition of Ground-state Entanglement in a Heisenberg Spin Chain Simulated in an NMR Quantum Computer
• Simulations of Information Transport in Spin Chains
• Environment Assisted Precision Measurement
• Hamiltonian tomography in an access-limited setting without state initialization
• Coherent Imaging Spectroscopy of a Quantum Many-Body Spin System
• Quantum System Identification
• Improved transfer of quantum information using a local memory
• Indirect Hamiltonian Identification through a small gateway
• Indirect Quantum Tomography of Quadratic Hamiltonians
• Hamiltonian identifiability assisted by single-probe measurement
• Spin Amplification for Magnetic Sensors Employing Crystal Defects
• Coherent state transfer via highly mixed quantum spin chains
• System identification for passive linear quantum systems
• Identification of open quantum systems from observable time traces
• Quantum simulation via filtered Hamiltonian engineering: application to perfect quantum transport in spin networks
• Intrinsic phonon effects on analog quantum simulators with ultracold trapped ions
• Estimation of Coupling Constants of a Three-Spin Chain: Case Study of Hamiltonian Tomography with NMR

Cited by in corpus (20)

• Tight bounds on the simultaneous estimation of incompatible parameters
• Learning many-body Hamiltonians with Heisenberg-limited scaling
• Quantum Hamiltonian Identifiability via a Similarity Transformation Approach and Beyond
• Practical Black Box Hamiltonian Learning
• Selective decoupling and Hamiltonian engineering in dipolar spin networks
• Quantum Model Learning Agent: characterisation of quantum systems through machine learning
• On the capability of a class of quantum sensors
• A greedy reconstruction algorithm for the identification of spin distribution
• Electron-to-nuclear spectral mapping via "Galton board" dynamic nuclear polarization
• QMetrology from QCosmology: Study with Entangled Two Qubit Open Quantum System in De Sitter Space
• Characterization of a driven two-level quantum system by Supervised Learning
• Interaction-induced transition in quantum many-body detection probability
• Continuously tracked, stable, large excursion trajectories of dipolar coupled nuclear spins
• Dimerized Decomposition of Quantum Evolution on an Arbitrary Graph
• Simulation-assisted learning of open quantum systems
• Recovery of eigenvectors from eigenvalues in systems of coupled harmonic oscillators
• Applicability of coupling strength estimation for linear chains of restricted access
• Can one hear a matrix? Recovering a real symmetric matrix from its spectral data
• "Galton board" nuclear hyperpolarization
• Characterizing errors in parameter estimation by local measurements