Identifying an Experimental Two-State Hamiltonian to Arbitrary Accuracy

Details Identifying an Experimental Two-State Hamiltonian to Arbitrary Accuracy Identifying an Experimental Two-State Hamiltonian to Arbitrary Accuracy

2005-01-21

arxiv.org/abs/quant-ph/0501116v2

Phys. Rev. A 71, 062312 (2005)

Physics

Quantum Physics

Minor corrections, Accepted for publication in Physical Review A

Scientific paper

10.1103/PhysRevA.71.062312

Precision control of a quantum system requires accurate determination of the effective system Hamiltonian. We develop a method for estimating the Hamiltonian parameters for some unknown two-state system and providing uncertainty bounds on these parameters. This method requires only one measurement basis and the ability to initialise the system in some arbitrary state which is not an eigenstate of the Hamiltonian in question. The scaling of the uncertainty is studied for large numbers of measurements and found to be proportional to one on the square-root of the number of measurements.

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