Quantum state tomography is a key technology for fully determining a quantum state. Unfortunately, standard quantum state tomography is intractable for general many-body quantum states, because the number of measurements and the post-processing time increase exponentially with the size of the system. However, for the matrix product states (MPSs), there exists an efficient method using linearly scaled local measurements and polynomially scaled post-processing times. In this study, we demonstrate the validity of the method in practice by reconstructing a four-photon MPS from its local two-or three-photon reduced-density matrices with the presence of statistical errors and systematical errors in experiment. (C) 2017 Optical Society of America
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Stanford Univ, EL Ginzton Lab, Stanford, CA 94305 USAStanford Univ, EL Ginzton Lab, Stanford, CA 94305 USA
Yanagimoto, Ryotatsu
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Ng, Edwin
Wright, Logan G.
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Cornell Univ, Sch Appl & Engn Phys, Ithaca, NY 14853 USA
NTT Res Inc, NTT Phys & Informat Labs, 1950 Univ Ave, East Palo Alto, CA 94303 USAStanford Univ, EL Ginzton Lab, Stanford, CA 94305 USA
Wright, Logan G.
Onodera, Tatsuhiro
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Cornell Univ, Sch Appl & Engn Phys, Ithaca, NY 14853 USA
NTT Res Inc, NTT Phys & Informat Labs, 1950 Univ Ave, East Palo Alto, CA 94303 USAStanford Univ, EL Ginzton Lab, Stanford, CA 94305 USA
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Laboratoire de Physique Théorique et Modélisation, CY Cergy Paris Université, CNRS UMR 8089, Cergy-Pontoise,Cedex 95302, FranceLaboratoire de Physique Théorique et Modélisation, CY Cergy Paris Université, CNRS UMR 8089, Cergy-Pontoise,Cedex 95302, France
Lami, Guglielmo
Haug, Tobias
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Quantum Research Center, Technology Innovation Institute, Abu Dhabi, United Arab EmiratesLaboratoire de Physique Théorique et Modélisation, CY Cergy Paris Université, CNRS UMR 8089, Cergy-Pontoise,Cedex 95302, France
Haug, Tobias
De Nardis, Jacopo
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Laboratoire de Physique Théorique et Modélisation, CY Cergy Paris Université, CNRS UMR 8089, Cergy-Pontoise,Cedex 95302, FranceLaboratoire de Physique Théorique et Modélisation, CY Cergy Paris Université, CNRS UMR 8089, Cergy-Pontoise,Cedex 95302, France