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Volumn 7, Issue 5, 2011, Pages 399-405

Quantum simulation of the wavefunction to probe frustrated Heisenberg spin systems

Author keywords

[No Author keywords available]

Indexed keywords

GROUND STATE; HIGH TEMPERATURE SUPERCONDUCTORS; QUANTUM CHEMISTRY; QUANTUM OPTICS; SPIN DYNAMICS;

EID: 79955650468     PISSN: 17452473     EISSN: 17452481     Source Type: Journal    
DOI: 10.1038/nphys1919     Document Type: Article
Times cited : (194)

References (50)
  • 1
    • 8844286884 scopus 로고    scopus 로고
    • Quantum-enhanced measurements: Beating the standard quantum limit
    • DOI 10.1126/science.1104149
    • Giovannetti, V., Lloyd, S. & Maccone, L. Quantum-enhanced measurements: Beating the standard quantum limit. Science 306, 1330-1336 (2004). (Pubitemid 39534415)
    • (2004) Science , vol.306 , Issue.5700 , pp. 1330-1336
    • Giovannetti, V.1    Lloyd, S.2    Maccone, L.3
  • 2
    • 26644462893 scopus 로고    scopus 로고
    • Quantum information processing and communication
    • Zoller, P. et al. Quantum information processing and communication. Eur. Phys. J. D 36, 203-228 (2005).
    • (2005) Eur. Phys. J. D , vol.36 , pp. 203-228
    • Zoller, P.1
  • 3
    • 0000119236 scopus 로고
    • Rapid solutions of problems by quantum computation
    • Deutsch, D. & Jozsa, R. Rapid solutions of problems by quantum computation. Proc. R. Soc. Lond. A 439, 553-558 (1992).
    • (1992) Proc. R. Soc. Lond. A , vol.439 , pp. 553-558
    • Deutsch, D.1    Jozsa, R.2
  • 5
    • 4243807288 scopus 로고    scopus 로고
    • Quantum mechanics helps in searching for a needle in a haystack
    • Grover, L. K. Quantum mechanics helps in searching for a needle in a haystack. Phys. Rev. Lett. 79, 325-328 (1997). (Pubitemid 127647510)
    • (1997) Physical Review Letters , vol.79 , Issue.2 , pp. 325-328
    • Grover, L.K.1
  • 6
    • 51249180339 scopus 로고
    • Simulating physics with computers
    • Feynman, R. P. Simulating physics with computers. Int. J. Theor. Phys. 21, 467-488 (1982).
    • (1982) Int. J. Theor. Phys. , vol.21 , pp. 467-488
    • Feynman, R.P.1
  • 7
    • 5344230456 scopus 로고
    • Quantum mechanical computers
    • Feynman, R. P. Quantum mechanical computers. Found. Phys. 16, 507-531 (1986).
    • (1986) Found. Phys. , vol.16 , pp. 507-531
    • Feynman, R.P.1
  • 8
    • 0029838223 scopus 로고    scopus 로고
    • Universal quantum simulators
    • Lloyd, S. Universal quantum simulators. Science 273, 1073-1078 (1996). (Pubitemid 26278158)
    • (1996) Science , vol.273 , Issue.5278 , pp. 1073-1078
    • Lloyd, S.1
  • 10
    • 24644496083 scopus 로고    scopus 로고
    • Chemistry: Simulated quantum computation of molecular energies
    • DOI 10.1126/science.1113479
    • Aspuru-Guzik, A., Dutoi, A. D., Love, P. J. & Head-Gordon, M. Simulated quantum computation of molecular energies. Science 309, 1704-1707 (2005). (Pubitemid 41285935)
    • (2005) Science , vol.309 , Issue.5741 , pp. 1704-1707
    • Aspuru-Guzik, A.1    Dutoi, A.D.2    Love, P.J.3    Head-Gordon, M.4
  • 11
    • 33745564957 scopus 로고    scopus 로고
    • D-wave resonating valence bond states of fermionic atoms in optical lattices
    • Trebst, S., Schollwöck, U., Troyer, M. & Zoller, P. d-wave resonating valence bond states of fermionic atoms in optical lattices. Phys. Rev. Lett. 96, 250402 (2006).
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 250402
    • Trebst, S.1    Schollwöck, U.2    Troyer, M.3    Zoller, P.4
  • 12
    • 70349694217 scopus 로고    scopus 로고
    • Quantum simulators
    • Buluta, I. & Nori, F. Quantum simulators. Science 326, 108-111 (2009).
    • (2009) Science , vol.326 , pp. 108-111
    • Buluta, I.1    Nori, F.2
  • 14
    • 0037011956 scopus 로고    scopus 로고
    • Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
    • DOI 10.1038/415039a
    • Greiner, M., Mandel, O., Esslinger, T., Hansch, T. W. & Bloch, I. Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms. Nature 415, 39-44 (2002). (Pubitemid 34062442)
    • (2002) Nature , vol.415 , Issue.6867 , pp. 39-44
    • Greiner, M.1    Mandel, O.2    Esslinger, T.3    Hansch, T.W.4    Bloch, I.5
  • 15
    • 34248187622 scopus 로고    scopus 로고
    • Ultracold atomic gases in optical lattices: Mimicking condensed matter physics and beyond
    • DOI 10.1080/00018730701223200, PII 778175433
    • Lewenstein, M. et al. Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond. Adv. Phys. 56, 243-379 (2007). (Pubitemid 46710973)
    • (2007) Advances in Physics , vol.56 , Issue.2 , pp. 243-379
    • Lewenstein, M.1    Sanpera, A.2    Ahufinger, V.3    Damski, B.4    Sen, A.5    Sen, U.6
  • 16
    • 78649857883 scopus 로고    scopus 로고
    • Suppression of the critical temperature for superfluidity near the Mott transition
    • Trotzky, S. et al. Suppression of the critical temperature for superfluidity near the Mott transition. Nature Phys. 6, 998-1004 (2010).
    • (2010) Nature Phys. , vol.6 , pp. 998-1004
    • Trotzky, S.1
  • 17
    • 0037049510 scopus 로고    scopus 로고
    • Trapped-ion quantum simulator: Experimental application to nonlinear interferometers
    • Leibfried, D. et al. Trapped-ion quantum simulator: Experimental application to nonlinear interferometers. Phys. Rev. Lett. 89, 247901 (2002).
    • (2002) Phys. Rev. Lett. , vol.89 , pp. 247901
    • Leibfried, D.1
  • 19
    • 73849135268 scopus 로고    scopus 로고
    • Quantum simulation of the Dirac equation.
    • Gerritsma, R. et al. Quantum simulation of the Dirac equation. Nature 463, 68-71 (2010).
    • (2010) Nature , vol.463 , pp. 68-71
    • Gerritsma, R.1
  • 20
    • 77953203314 scopus 로고    scopus 로고
    • Quantum simulation of frustrated Ising spins with trapped ions
    • Kim, K. et al. Quantum simulation of frustrated Ising spins with trapped ions. Nature 465, 590-593 (2010).
    • (2010) Nature , vol.465 , pp. 590-593
    • Kim, K.1
  • 21
    • 59549087509 scopus 로고    scopus 로고
    • Demonstrating anyonic fractional statistics with a six-qubit quantum simulator
    • Lu, C-Y. et al. Demonstrating anyonic fractional statistics with a six-qubit quantum simulator. Phys. Rev. Lett. 102, 030502 (2009).
    • (2009) Phys. Rev. Lett. , vol.102 , pp. 030502
    • Lu, C.-Y.1
  • 22
    • 69249135902 scopus 로고    scopus 로고
    • Revealing anyonic features in a toric code quantum simulation
    • Pachos, J. K. et al. Revealing anyonic features in a toric code quantum simulation. New J. Phys. 11, 083010 (2009).
    • (2009) New J. Phys. , vol.11 , pp. 083010
    • Pachos, J.K.1
  • 23
    • 76249130670 scopus 로고    scopus 로고
    • Towards quantum chemistry on a quantum computer
    • Lanyon, B. P. et al. Towards quantum chemistry on a quantum computer. Nature Chem. 2, 106-111 (2010).
    • (2010) Nature Chem. , vol.2 , pp. 106-111
    • Lanyon, B.P.1
  • 24
    • 78149284629 scopus 로고    scopus 로고
    • Optical one-way quantum computing with a simulated valence-bond solid
    • Kaltenbaek, R., Lavoie, J., Zeng, B., Bartlett, S. D.& Resch, K. J. Optical one-way quantum computing with a simulated valence-bond solid. Nature Phys. 6, 850-854 (2010).
    • (2010) Nature Phys. , vol.6 , pp. 850-854
    • Kaltenbaek, R.1    Lavoie, J.2    Zeng, B.3    Bartlett, S.D.4    Resch, K.J.5
  • 26
    • 75149172711 scopus 로고    scopus 로고
    • NMR implementation of a molecular hydrogen quantum simulation with adiabatic state preparation
    • Du, J. et al. NMR implementation of a molecular hydrogen quantum simulation with adiabatic state preparation. Phys. Rev. Lett. 104, 030502 (2010).
    • (2010) Phys. Rev. Lett. , vol.104 , pp. 030502
    • Du, J.1
  • 27
    • 63249131620 scopus 로고    scopus 로고
    • Quantum circuits for strongly correlated quantum systems
    • Verstraete, F., Cirac, J. I. & Latorre, J. I. Quantum circuits for strongly correlated quantum systems. Phys. Rev. A 79, 032316 (2009).
    • (2009) Phys. Rev. A , vol.79 , pp. 032316
    • Verstraete, F.1    Cirac, J.I.2    Latorre, J.I.3
  • 28
    • 70449120935 scopus 로고    scopus 로고
    • A quantum gas microscope for detecting single atoms in a Hubbard-regime optical lattice
    • Bakr, W. S., Gillen, J. I., Peng, A., Folling, S. & Greiner, M. A quantum gas microscope for detecting single atoms in a Hubbard-regime optical lattice. Nature 462, 74-77 (2009).
    • (2009) Nature , vol.462 , pp. 74-77
    • Bakr, W.S.1    Gillen, J.I.2    Peng, A.3    Folling, S.4    Greiner, M.5
  • 29
    • 77955103235 scopus 로고    scopus 로고
    • Probing the superfluid-to-Mott insulator transition at the single-atom level
    • Bakr, W. S. et al. Probing the superfluid-to-Mott insulator transition at the single-atom level. Science 329, 547-550 (2010).
    • (2010) Science , vol.329 , pp. 547-550
    • Bakr, W.S.1
  • 30
    • 77956313495 scopus 로고    scopus 로고
    • Single-atom resolved fluorescence imaging of an atomic Mott insulator
    • Sherson, J. F. et al. Single-atom resolved fluorescence imaging of an atomic Mott insulator. Nature 467, 68-72 (2010).
    • (2010) Nature , vol.467 , pp. 68-72
    • Sherson, J.F.1
  • 32
    • 33744959391 scopus 로고    scopus 로고
    • General monogamy inequality for bipartite qubit entanglement
    • Osborne, T. J. & Verstraete, F. General monogamy inequality for bipartite qubit entanglement. Phys. Rev. Lett. 96, 220503 (2006).
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 220503
    • Osborne, T.J.1    Verstraete, F.2
  • 33
    • 33846900525 scopus 로고
    • Zur Theorie der Metalle. I. Eigenwerte und Eigenfunktionen der linearen Atomkette
    • Bethe, H. Zur Theorie der Metalle. I. Eigenwerte und Eigenfunktionen der linearen Atomkette. Z. Phys. A 71, 205-226 (1931).
    • (1931) Z. Phys. A , vol.71 , pp. 205-226
    • Bethe, H.1
  • 34
    • 34250915197 scopus 로고
    • Beweis des Adiabatensatzes
    • Born, M. & Fock, V. Beweis des Adiabatensatzes. Z. Phys. A 51, 165-180 (1928).
    • (1928) Z. Phys. A , vol.51 , pp. 165-180
    • Born, M.1    Fock, V.2
  • 35
    • 0002214118 scopus 로고
    • Antiferromagnetism
    • Marshall, W. Antiferromagnetism. Proc. R. Soc. A 232, 48-68 (1955).
    • (1955) Proc. R. Soc. A , vol.232 , pp. 48-68
    • Marshall, W.1
  • 36
    • 33645881518 scopus 로고
    • Ordering energy levels of interacting spin systems
    • Lieb, E. & Mattis, D. Ordering energy levels of interacting spin systems. J. Math. Phys. 3, 749-751 (1962).
    • (1962) J. Math. Phys. , vol.3 , pp. 749-751
    • Lieb, E.1    Mattis, D.2
  • 37
    • 26844535199 scopus 로고
    • Rigorous results on valence-bond ground states in antiferromagnets
    • Affleck, I., Kennedy, T., Lieb, E. H. & Tasaki, H. Rigorous results on valence-bond ground states in antiferromagnets. Phys. Rev. Lett. 59, 799-802 (1987).
    • (1987) Phys. Rev. Lett. , vol.59 , pp. 799-802
    • Affleck, I.1    Kennedy, T.2    Lieb, E.H.3    Tasaki, H.4
  • 38
    • 77949366361 scopus 로고    scopus 로고
    • Spin liquids in frustrated magnets
    • Balents, L. Spin liquids in frustrated magnets. Nature 464, 199-208 (2010).
    • (2010) Nature , vol.464 , pp. 199-208
    • Balents, L.1
  • 39
    • 33750348617 scopus 로고    scopus 로고
    • Plaquette valence-bond crystal in the frustrated Heisenberg quantum antiferromagnet on the square lattice
    • Mambrini, M., Läuchli, A., Poilblanc, D. & Mila, F. Plaquette valence-bond crystal in the frustrated Heisenberg quantum antiferromagnet on the square lattice. Phys. Rev. B 74, 144422 (2006).
    • (2006) Phys. Rev. B , vol.74 , pp. 144422
    • Mambrini, M.1    Läuchli, A.2    Poilblanc, D.3    Mila, F.4
  • 40
    • 0023646228 scopus 로고
    • The resonating valence bond state in La2CuO4 and superconductivity
    • Anderson, P. W. The resonating valence bond state in La2CuO4 and superconductivity. Science 235, 1196-1198 (1987). (Pubitemid 17620944)
    • (1987) Science , vol.235 , Issue.4793 , pp. 1196-1198
    • Anderson, P.W.1
  • 41
    • 0000737842 scopus 로고    scopus 로고
    • Nonmaximally Entangled States: Production, Characterization, and Utilization
    • White, A. G., James, D. F. V., Eberhard, P. H. & Kwiat, P. G. Nonmaximally entangled states: Production, characterization, and utilization. Phys. Rev. Lett. 83, 3103-3107 (1999). (Pubitemid 129582840)
    • (1999) Physical Review Letters , vol.83 , Issue.16 , pp. 3103-3107
    • White, A.G.1    James, D.F.V.2    Eberhard, P.H.3    Kwiat, P.G.4
  • 44
  • 45
    • 4243684526 scopus 로고    scopus 로고
    • Entanglement of formation of an arbitrary state of two qubits
    • Wootters, W. K. Entanglement of formation of an arbitrary state of two qubits. Phys. Rev. Lett. 80, 2245-2248 (1998). (Pubitemid 128621538)
    • (1998) Physical Review Letters , vol.80 , Issue.10 , pp. 2245-2248
    • Wootters, W.K.1
  • 46
    • 3843142754 scopus 로고    scopus 로고
    • Fringe visibility and which-way information: An inequality
    • Englert, B-G. Fringe visibility and which-way information: An inequality. Phys. Rev. Lett. 77, 2154-2157 (1996). (Pubitemid 126624054)
    • (1996) Physical Review Letters , vol.77 , Issue.11 , pp. 2154-2157
    • Englert, B.-G.1
  • 47
    • 29144479380 scopus 로고    scopus 로고
    • Complementarity and information in 'Delayed-choice for entanglement swapping'
    • DOI 10.1007/s10701-005-7355-2
    • Brukner, .., Aspelmeyer, M. & Zeilinger, A. Complementarity and information in delayed-choice for entanglement swapping. Found. Phys. 35, 1909-1919 (2005). (Pubitemid 41813109)
    • (2005) Foundations of Physics , vol.35 , Issue.11 , pp. 1909-1919
    • Brukner, C.1    Aspelmeyer, M.2    Zeilinger, A.3
  • 48
    • 4244129112 scopus 로고    scopus 로고
    • Fringe visibility and which-way information in an atom interferometer
    • Dürr, S., Nonn, T. & Rempe, G. Fringe visibility and which-way information in an atom interferometer. Phys. Rev. Lett. 81, 5705-5709 (1998). (Pubitemid 128628245)
    • (1998) Physical Review Letters , vol.81 , Issue.26 , pp. 5705-5709
    • Durr, S.1    Nonn, T.2    Rempe, G.3
  • 50
    • 0035804255 scopus 로고    scopus 로고
    • A scheme for efficient quantum computation with linear optics
    • DOI 10.1038/35051009
    • Knill, E., Laflamme, R. & Milburn, G. A scheme for efficient quantum computation with linear optics. Nature 409, 46-52 (2001). (Pubitemid 32098618)
    • (2001) Nature , vol.409 , Issue.6816 , pp. 46-52
    • Knill, E.1    Laflamme, R.2    Milburn, G.J.3


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