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 Communjournal_title
Nature communicationsauthors
de Clercq LE,Oswald R,Flühmann C,Keitch B,Kienzler D,Lo HY,Marinelli M,Nadlinger D,Negnevitsky V,Home JPdoi
10.1038/ncomms11218subject
Has Abstractpub_date
2016-04-14 00:00:00pages
11218issn
2041-1723pii
ncomms11218journal_volume
7pub_type
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