Hamiltonian Determination with Restricted Access in Transverse Field Ising Chain

Abstract

We propose a method to evaluate parameters in the Hamiltonian of the Ising chain under site-dependent transverse fields, with a proviso that we can control and measure one of the edge spins only. We evaluate the eigenvalues of the Hamiltonian and the time-evoultion operator exactly for a 3-spin chain, from which we obtain the expectation values of ${\sigma }_x$ of the first spin. The parameters are found from the peak positions of the Fourier transform of the expectation value. There are four assumptions in our method, which are mild enough to be satisfied in many physical systems.

15pages, 4 figures

References in corpus (6)

• Coupling strength estimation for spin chains despite restricted access
• The structure of preserved information in quantum processes
• Hamiltonian tomography in an access-limited setting without state initialization
• Indirect Hamiltonian Identification through a small gateway
• Indirect Quantum Tomography of Quadratic Hamiltonians
• Non-monotonic Dynamics in Frustrated Ising Model with Time-Dependent Transverse Field