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We show that it is possible to uniquely reconstruct a generic many-body local Hamiltonian from a single pair of initial and final states related by time evolution with the Hamiltonian.
1910
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1912
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Markus Greiner, Olaf Mandel, Tilman Esslinger, Theodor W. Hänsch, and Immanuel Bloch, “Quantum phase transition from a superfluid to a mott insulator in a gas of ultracold atoms,” Nature 415
2002
Earlier work this paper cites.
S. G. Schirmer, A. Kolli, and D. K. L. Oi, “Experimental hamiltonian identification for controlled two-level systems,” Phys. Rev. A 69
2004
Earlier work this paper cites.
Jared H. Cole, Sonia G. Schirmer, Andrew D. Greentree, Cameron J. Wellard, Daniel K. L. Oi, and Lloyd C. L. Hollenberg, “Identifying an experimental two-state hamiltonian to arbitrary accuracy,” Phys. Rev. A 71
2005
Earlier work this paper cites.
Simon J. Devitt, Jared H. Cole, and Lloyd C. L. Hollenberg, “Scheme for direct measurement of a general two-qubit hamiltonian,” Phys. Rev. A 73
2006
Earlier work this paper cites.
Jared H Cole, Simon J Devitt, and Lloyd C L Hollenberg, “Precision characterization of two-qubit hamiltonians via entanglement mapping,” Journal of Physics A: Mathematical and General 39
2006
Earlier work this paper cites.
Immanuel Bloch, Jean Dalibard, and Wilhelm Zwerger, “Many-body physics with ultracold gases,” Rev. Mod. Phys. 80
2008
Earlier work this paper cites.
Robert Jördens, Niels Strohmaier, Kenneth Günter, Henning Moritz, and Tilman Esslinger, “A mott insulator of fermionic atoms in an optical lattice,” Nature 455
2008
Earlier work this paper cites.
C. Di Franco, M. Paternostro, and M. S. Kim, “Hamiltonian tomography in an access-limited setting without state initialization,” Phys. Rev. Lett. 102
2009
Earlier work this paper cites.
Daniel Burgarth and Koji Maruyama, “Indirect hamiltonian identification through a small gateway,” New Journal of Physics 11
2009
Earlier work this paper cites.
Daniel Burgarth, Koji Maruyama, and Franco Nori, “Coupling strength estimation for spin chains despite restricted access,” Phys. Rev. A 79
2009
Earlier work this paper cites.
I.M. Gelfand, M. Kapranov, and A. Zelevinsky, Discriminants, Resultants, and Multidimensional Determinants , Modern Birkhäuser Classics (Birkhäuser Boston, 2009)
2009
Earlier work this paper cites.
Daniel Burgarth, Koji Maruyama, and Franco Nori, “Indirect quantum tomography of quadratic hamiltonians,” New Journal of Physics 13
2011
Earlier work this paper cites.
Marcus P. da Silva, Olivier Landon-Cardinal, and David Poulin, “Practical characterization of quantum devices without tomography,” Phys. Rev. Lett. 107
2011
Earlier work this paper cites.
R. Blatt and C. F. Roos, “Quantum simulations with trapped ions,” Nature Physics 8
2012
Cited alongside, same era.
R. Islam, C. Senko, W. C. Campbell, S. Korenblit, J. Smith, A. Lee, E. E. Edwards, C.-C. J. Wang, J. K. Freericks, and C. Monroe, “Emergence and frustration of magnetism with variable-range interactions in a quantum simulator,” Science 340
2013
Cited alongside, same era.
M. H. Devoret and R. J. Schoelkopf, “Superconducting circuits for quantum information: an outlook,” Science 339
2013
Cited alongside, same era.
C. Senko, J. Smith, P. Richerme, A. Lee, W. C. Campbell, and C. Monroe, “Coherent imaging spectroscopy of a quantum many-body spin system,” Science 345
2014
Cited alongside, same era.
Jun Zhang and Mohan Sarovar, “Quantum hamiltonian identification from measurement time traces,” Phys. Rev. Lett. 113
2014
Christian Gross and Immanuel Bloch, “Quantum simulations with ultracold atoms in optical lattices,” Science 357
2017
Later among the works it cites.
Anton Mazurenko, Christie S. Chiu, Geoffrey Ji, Maxwell F. Parsons, Márton Kanász-Nagy, Richard Schmidt, Fabian Grusdt, Eugene Demler, Daniel Greif, and Markus Greiner, “A cold-atom fermi–hubbard antiferromagnet,” Nature 545
2017
Later among the works it cites.
Ruichao Ma, Clai Owens, Aman LaChapelle, David I. Schuster, and Jonathan Simon, “Hamiltonian tomography of photonic lattices,” Phys. Rev. A 95
2017
Later among the works it cites.
James R. Garrison and Tarun Grover, “Does a single eigenstate encode the full hamiltonian?” Phys. Rev. X 8
2018
Later among the works it cites.
Eli Chertkov and Bryan K. Clark, “Computational inverse method for constructing spaces of quantum models from wave functions,” Phys. Rev. X 8
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2014
Cited alongside, same era.
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2014
Cited alongside, same era.
Sheng-Tao Wang, Dong-Ling Deng, and L-M Duan, “Hamiltonian tomography for quantum many-body systems with arbitrary couplings,” New Journal of Physics 17
2015
Cited alongside, same era.
P. Jurcevic, P. Hauke, C. Maier, C. Hempel, B. P. Lanyon, R. Blatt, and C. F. Roos, “Spectroscopy of interacting quasiparticles in trapped ions,” Phys. Rev. Lett. 115
2015
Cited alongside, same era.
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2015
Cited alongside, same era.
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2015
Cited alongside, same era.
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2015
Cited alongside, same era.
2018
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2018
Later among the works it cites.
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2018
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