Experimental quantum state tomography of a solid state qubit

Abstract

Full quantum state tomography is used to characterize the state of an ensemble based qubit implemented through two hyperfine levels in Pr3+ ions, doped into a Y2SiO5 crystal. We experimentally verify that single-qubit rotation errors due to inhomogeneities of the ensemble can be suppressed using the Roos-Moelmer dark state scheme. Fidelities above >90%, presumably limited by excited state decoherence, were achieved. Although not explicitly taken care of in the Roos-Moelmer scheme, it appears that also decoherence due to inhomogeneous broadening on the hyperfine transition is largely suppressed.

5 pages, 3 figures (eps)

References in corpus (9)

• Dynamic decoherence control of a solid-state nuclear quadrupole qubit
• Advanced holeburning techniques for determination of hyperfine transition properties in inhomogeneously broadened solids applied to Pr3+:Y2SiO5
• Optimal Control of Coupled Josephson Qubits
• Quantum computing with an inhomogeneously broadened ensemble of ions: Suppression of errors from detuning variations by specially adapted pulses and coherent population trapping
• Scalable designs for quantum computing with rare-earth-ion-doped crystals
• Experimental demonstration of quantum state tomography and qubit-qubit interactions for rare-earth-ion based solid state qubits
• Experimental investigation of delayed self-interference for single photons
• Designing robust gate implementations for quantum information processing
• Effects of ground state hyperfine shifts in quantum computing with optically hole burnt materials

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