Estimation of a general time-dependent Hamiltonian for a single qubit.

Abstract:

:The Hamiltonian of a closed quantum system governs its complete time evolution. While Hamiltonians with time-variation in a single basis can be recovered using a variety of methods, for more general Hamiltonians the presence of non-commuting terms complicates the reconstruction. Here using a single trapped ion, we propose and experimentally demonstrate a method for estimating a time-dependent Hamiltonian of a single qubit. We measure the time evolution of the qubit in a fixed basis as a function of a time-independent offset term added to the Hamiltonian. The initially unknown Hamiltonian arises from transporting an ion through a static laser beam. Hamiltonian estimation allows us to estimate the spatial beam intensity profile and the ion velocity as a function of time. The estimation technique is general enough that it can be applied to other quantum systems, aiding the pursuit of high-operational fidelities in quantum control.

journal_name

Nat Commun

journal_title

Nature communications

authors

de Clercq LE,Oswald R,Flühmann C,Keitch B,Kienzler D,Lo HY,Marinelli M,Nadlinger D,Negnevitsky V,Home JP

doi

10.1038/ncomms11218

subject

Has Abstract

pub_date

2016-04-14 00:00:00

pages

11218

issn

2041-1723

pii

ncomms11218

journal_volume

7

pub_type

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