Estimation of Coupling Constants of a Three-Spin Chain: Case Study of Hamiltonian Tomography with NMR

Abstract

It has been shown that inter-spin interaction strengths in a spins-1/2 chain can be evaluated by accessing one of the edge spins only. We demonstrate this experimentally for the simplest case, a three-spin chain, with nuclear magnetic resonance (NMR) technique. The three spins in the chain interact through nearest-neighbor Ising interactions under site-dependent transverse fields. The employed molecule is an alanine containing three ${}^{13}$C nuclei, each of which has spin-1/2.

7 pages, 18 figures

References in corpus (10)

• Efficient measurement of quantum dynamics via compressive sensing
• Quantum Computing with NMR
• Coupling strength estimation for spin chains despite restricted access
• Hamiltonian tomography in an access-limited setting without state initialization
• Efficient estimation of nearly sparse many-body quantum Hamiltonians
• Indirect Hamiltonian Identification through a small gateway
• Indirect Quantum Tomography of Quadratic Hamiltonians
• Implementation of the refined Deutsch-Jozsa algorithn on a 3-bit NMR quantum computer
• Finding Traps in Non-linear Spin Arrays
• Hamiltonian Determination with Restricted Access in Transverse Field Ising Chain

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• Hamiltonian-learning quantum magnets with non-local impurity tomography
• Controllable non-Markovianity in phase relaxation
• A controlled-NOT gate in a chain of qubits embedded in a spin field-effect transistor and its process tomography