Identifying a Two-State Hamiltonian in the Presence of Decoherence

Abstract

Mapping the system evolution of a two-state system allows the determination of the effective system Hamiltonian directly. We show how this can be achieved even if the system is decohering appreciably over the observation time. A method to include various decoherence models is given and the limits of this technique are explored. This technique is applicable both to the problem of calibrating a control Hamiltonian for quantum computing applications and for precision experiments in two-state quantum systems. For simple models of decoherence, this method can be applied even when the decoherence time is comparable to the oscillation period of the system.

8 pages, 6 figures. Minor corrections, published version

References in corpus (2)

• Dephasing of solid-state qubits at optimal points
• Identifying an Experimental Two-State Hamiltonian to Arbitrary Accuracy

Cited by in corpus (4)

• Hamiltonian tomography in an access-limited setting without state initialization
• Two-Qubit Hamiltonian Tomography by Bayesian Analysis of Noisy Data
• Precision characterisation of two-qubit Hamiltonians via entanglement mapping
• Direct Estimation of Single- and Two-Qubit Hamiltonians and Relaxation Rates