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We introduce the concept of quantum field tomography, the efficient and reliable reconstruction of unknown quantum fields based on data of correlation functions.
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Lobos, T., Rezmer, J., and Schegner, P · 2003
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Holographic quantum states
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Parameter estimation for exponential sums by approximate prony method
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Continuous matrix product states for quantum fields
Verstraete, F., and Cirac, J. I · 2010
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The inverse eigenvalue problem for quantum channels
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Time-dependent variational principle for quantum lattices
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The dynamics and prethermalization of one-dimensional quantum systems probed through the full distributions of quantum noise
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Hua, Y., Gershman, A., and Cheng, Q · 2004
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Random matrix theory
Edelman, A., and Rao, N. R · 2005
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Inverse problem theory and methods for model parameter estimation
Tarantola, A · 2005
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Matrix product state representations
Perez-Garcia, D., Verstraete, F., Wolf, M. M., and Cirac, J. I · 2006
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Dynamics of the attractive 1D Bose gas: Analytical treatment from integrability
Calabrese, P., and Caux, J.-S · 2007
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Entropy scaling and simulability by matrix product states
Schuch, N., Wolf, M. M., Verstraete, F., and Cirac, J. I · 2008
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Kitagawa, T., Imambekov, A., Schmiedmayer, J., and Demler, E · 2011
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Quantum tomography via compressed sensing: Error bounds, sample complexity, and efficient estimators
Flammia, S. T., Gross, D., Liu, Y.-K., and Eisert, J · 2012
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Relaxation and prethermalization in an isolated quantum system
Gring, M., Kuhnert, M., Langen, T., Kitagawa, T., Rauer, B., Schreitl, M., Mazets, I., Smith, D. A., Demler, E., and Schmiedmayer, J · 2012
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Scalable reconstruction of density matrices
Baumgratz, T., Gross, D., Cramer, M., and Plenio, M. B · 2013
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Particles, holes, and solitons: A matrix product state approach
Draxler, D., Haegeman, J., Osborne, T. J., Stojevic, V., Vanderstraeten, L., and Verstraete, F · 2013
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Calculus of continuous matrix product states
Haegeman, J., Cirac, J. I., Osborne, T. J., and Verstraete, F · 2013
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Continuum versions of tensor network states
Hase, M. v · 2013
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Wick’s theorem for matrix product states
Hübener, R., Mari, A., and Eisert, J · 2013
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Local emergence of thermal correlations in an isolated quantum many-body system
Langen, T., Geiger, R., Kuhnert, M., Rauer, B., and Schmiedmayer, J · 2013
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Efficient and feasible state tomography of quantum many-body systems
Ohliger, M., Nesme, V., and Eisert, J · 2013
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Towards experimental quantum field tomography with ultra-cold atoms
Steffens, A., Friesdorf, M., Langen, T., Rauer, B., Schweigler, Hübener, R., Schmiedmayer, J., Riofrío, C. A., and Eisert, J · 2014
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