Quantum tomography for solid state qubits

Abstract

We propose a method for the tomographic reconstruction of qubit states for a general class of solid state systems in which the Hamiltonians are represented by spin operators, e.g., with Heisenberg-, $XXZ$-, or XY- type exchange interactions. We analyze the implementation of the projective operator measurements, or spin measurements, on qubit states. All the qubit states for the spin Hamiltonians can be reconstructed by using experimental data.

4 pages

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Cited by in corpus (14)

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• Uncollapsing of a quantum state in a superconducting phase qubit
• Controllable coupling between flux qubits
• Generation and control of Greenberger-Horne-Zeilinger entanglement in superconducting circuits
• Full reconstruction of a 14-qubit state within four hours
• Tomographic measurements on superconducting qubit states
• Macroscopic Einstein-Podolsky-Rosen pairs in superconducting circuits
• Testing Bell's inequality in constantly coupled Josephson circuits by effective single-qubit operations
• Two-qubit decoherence mechanisms revealed via quantum process tomography
• Quantum state tomography of large nuclear spins in a semiconductor quantum well: Optimal robustness against errors as quantified by condition numbers
• On the generation of multipartite entangled states in Josephson architectures
• Efficient tomography of quantum-optical Gaussian processes probed with a few coherent states
• Noise-spectroscopy of multiqubit systems: Determining all their parameters by applying an external classical noise
• The dynamics of a qubit reveals its coupling to a $N$ level system