Wigner tomography of multispin quantum states
arXiv:1707.08465 · doi:10.1103/PhysRevA.96.063413
Abstract
We study the tomography of multispin quantum states in the context of finite-dimensional Wigner representations. An arbitrary operator can be completely characterized and visualized using multiple shapes assembled from linear combinations of spherical harmonics [A. Garon, R. Zeier, and S. J. Glaser, Phys. Rev. A 91, 042122 (2015)]. We develop a general methodology to experimentally recover these shapes by measuring expectation values of rotated axial spherical tensor operators and provide an interpretation in terms of fictitious multipole potentials. Our approach is experimentally demonstrated for quantum systems consisting of up to three spins using nuclear magnetic resonance spectroscopy.
v2: close to published version
References in corpus (5)
- Experimental Quantum State Tomography of Optical Fields and Ultrafast Statistical Sampling
- Framed Hilbert space: hanging the quasi-probability pictures of quantum theory
- Visualizing operators of coupled spin systems
- Optimal two-qubit tomography based on local and global measurements: Maximal robustness against errors as described by condition numbers
- Towards a complete, continuous, Wigner function for an ensemble of spins or qubits