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Volumn 3, Issue , 2012, Pages

Digital quantum simulation of the statistical mechanics of a frustrated magnet

Author keywords

[No Author keywords available]

Indexed keywords

CROTONIC ACID DERIVATIVE;

EID: 84863319224     PISSN: None     EISSN: 20411723     Source Type: Journal    
DOI: 10.1038/ncomms1860     Document Type: Article
Times cited : (61)

References (54)
  • 1
    • 0033235339 scopus 로고    scopus 로고
    • Nobel lecture: Electronic structure of matter - Wave functions and density functional
    • Kohn, W. Nobel lecture: electronic structure of matter-wave functions and density functionals. Rev. Mod. Phys. 71, 1253-1266 (1999). (Pubitemid 129329208)
    • (1999) Reviews of Modern Physics , vol.71 , Issue.5 , pp. 1253-1266
    • Kohn, W.1
  • 2
    • 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
  • 3
    • 18444371748 scopus 로고    scopus 로고
    • Quantum phase transition of ground-state entanglement in a Heisenberg spin chain simulated in an NMR quantum computer
    • Peng, X., Du, J. & Suter, D. Quantum phase transition of ground-state entanglement in a Heisenberg spin chain simulated in an NMR quantum computer. Phys. Rev. A 71, 012307 (2005).
    • (2005) Phys. Rev. A , vol.71 , pp. 012307
    • Peng, X.1    Du, J.2    Suter, D.3
  • 4
    • 53349145334 scopus 로고    scopus 로고
    • Simulating a quantum magnet with trapped ions
    • Friedenauer, A. et al. Simulating a quantum magnet with trapped ions. Nat. Phys. 4, 757-761 (2008).
    • (2008) Nat. Phys. , vol.4 , pp. 757-761
    • Friedenauer, A.1
  • 5
    • 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
  • 6
    • 77957592554 scopus 로고    scopus 로고
    • Quantum simulation and phase diagram of the transverse-field Ising model with three atomic spins
    • Edwards, E. et al. Quantum simulation and phase diagram of the transverse-field Ising model with three atomic spins. Phys. Rev. B 82, 060412 (2010).
    • (2010) Phys. Rev. B , vol.82 , pp. 060412
    • Edwards, E.1
  • 7
    • 79955650468 scopus 로고    scopus 로고
    • Quantum simulation of the wavefunction to probe frustrated Heisenberg spin systems
    • Ma, X.-S. et al. Quantum simulation of the wavefunction to probe frustrated Heisenberg spin systems. Nature Phys. 7, 1-7 (2011).
    • (2011) Nature Phys. , vol.7 , pp. 1-7
    • Ma, X.-S.1
  • 8
    • 76249130670 scopus 로고    scopus 로고
    • Towards quantum chemistry on a quantum computer
    • Lanyon, B. P. et al. Towards quantum chemistry on a quantum computer. Nat. Chem. 2, 106-111 (2010).
    • (2010) Nat. Chem. , vol.2 , pp. 106-111
    • Lanyon, B.P.1
  • 9
    • 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
  • 11
    • 79952141393 scopus 로고    scopus 로고
    • An open-system quantum simulator with trapped ions
    • Barreiro, J. T. et al. An open-system quantum simulator with trapped ions. Nature 470, 486-491 (2011).
    • (2011) Nature , vol.470 , pp. 486-491
    • Barreiro, J.T.1
  • 12
    • 80051876529 scopus 로고    scopus 로고
    • Quantum simulation of frustrated classical magnetism in triangular optical lattices
    • Struck, J. et al. Quantum simulation of frustrated classical magnetism in triangular optical lattices. Science 333, 996-999 (2011).
    • (2011) Science , vol.333 , pp. 996-999
    • Struck, J.1
  • 13
    • 84856373387 scopus 로고    scopus 로고
    • Solving quantum ground-state problems with nuclear magnetic resonance
    • Li, Z. et al. Solving quantum ground-state problems with nuclear magnetic resonance. Sci. Rep. 1, 88 (2011).
    • (2011) Sci. Rep. , vol.1 , pp. 88
    • Li, Z.1
  • 14
    • 80053590673 scopus 로고    scopus 로고
    • Universal digital quantum simulation with trapped ions
    • Lanyon, B. P. et al. Universal digital quantum simulation with trapped ions. Science 334, 57-61 (2011).
    • (2011) Science , vol.334 , pp. 57-61
    • Lanyon, B.P.1
  • 15
    • 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
  • 16
    • 77950840740 scopus 로고    scopus 로고
    • Quantum computers
    • Ladd, T. D. et al. Quantum computers. Nature 464, 45-53 (2010).
    • (2010) Nature , vol.464 , pp. 45-53
    • Ladd, T.D.1
  • 18
    • 79952355302 scopus 로고    scopus 로고
    • Simulating chemistry using quantum computers
    • Kassal, I. et al. Simulating chemistry using quantum computers. Annu. Rev. Phys. Chem. 62, 185-207 (2011).
    • (2011) Annu. Rev. Phys. Chem. , vol.62 , pp. 185-207
    • Kassal, I.1
  • 21
    • 55049087841 scopus 로고    scopus 로고
    • Size dependence of the minimum excitation gap in the quantum adiabatic algorithm
    • Young, A. P., Knysh, S. & Smelyanskiy, V. N. Size dependence of the minimum excitation gap in the quantum adiabatic algorithm. Phys. Rev. Lett. 101, 170503 (2008).
    • (2008) Phys. Rev. Lett. , vol.101 , pp. 170503
    • Young, A.P.1    Knysh, S.2    Smelyanskiy, V.N.3
  • 23
    • 0033727269 scopus 로고    scopus 로고
    • Statistical mechanics, three-dimensionality and NP-completeness: I. Universality of intracatability for the partition function of the Ising model across non-planar surfaces
    • Istrail, S. Statistical mechanics, three-dimensionality and NP-completeness: I. Universality of intracatability for the partition function of the Ising model across non-planar surfaces. Proceedings of the Thirty-Second Annual ACM Symposium on Theory of computing 87-96 (2000).
    • (2000) Proceedings of the Thirty-Second Annual ACM Symposium on Theory of Computing , pp. 87-96
    • Istrail, S.1
  • 24
    • 0035917832 scopus 로고    scopus 로고
    • A quantum adiabatic evolution algorithm applied to random instances of an NP-complete problem
    • Farhi, E. et al. A quantum adiabatic evolution algorithm applied to random instances of an NP-complete problem. Science 292, 472-475 (2001).
    • (2001) Science , vol.292 , pp. 472-475
    • Farhi, E.1
  • 25
    • 84874017825 scopus 로고    scopus 로고
    • Clay Mathematics institute
    • Clay Mathematics institute. http://www.claymath.org/millennium/P-vs-NP/ (2012).
    • (2012)
  • 26
    • 77955454198 scopus 로고    scopus 로고
    • Anderson localization makes adiabatic quantum optimization fail
    • Altshuler, B., Krovi, H. & Roland, J. Anderson localization makes adiabatic quantum optimization fail. Proc. Natl Acad. Sci. USA 107, 12446-12450
    • (2010) Proc. Natl Acad. Sci. USA , vol.107 , pp. 12446-12450
    • Altshuler, B.1    Krovi, H.2    Roland, J.3
  • 27
    • 79551620062 scopus 로고    scopus 로고
    • Does adiabatic quantum optimization fail for NP-complete problems?
    • Dickson, N. & Amin, M. Does Adiabatic Quantum Optimization Fail for NP-Complete Problems? Phys. Rev. Lett. 106, 050502 (2011).
    • (2011) Phys. Rev. Lett. , vol.106 , pp. 050502
    • Dickson, N.1    Amin, M.2
  • 31
    • 79952270250 scopus 로고    scopus 로고
    • Quantum Metropolis sampling
    • Temme, K. et al. Quantum Metropolis sampling. Nature 471, 87-90 (2011).
    • (2011) Nature , vol.471 , pp. 87-90
    • Temme, K.1
  • 33
    • 0000038936 scopus 로고
    • Some inequalities for reversible markov chains
    • Aldous, D. J. Some inequalities for reversible markov chains. J. Lond. Math. Soc. s2-25, 564-576 (1982).
    • (1982) J. Lond. Math. Soc. , vol.2-25 , pp. 564-576
    • Aldous, D.J.1
  • 35
    • 78650966611 scopus 로고    scopus 로고
    • Simulation of classical thermal states on a quantum computer: A transfer-matrix approach
    • Yung, M.-H. et al. Simulation of classical thermal states on a quantum computer: a transfer-matrix approach. Phys. Rev. A 82, 060302 (2010).
    • (2010) Phys. Rev. A , vol.82 , pp. 060302
    • Yung, M.-H.1
  • 36
    • 18444401706 scopus 로고    scopus 로고
    • NMR techniques for quantum control and computation
    • DOI 10.1103/RevModPhys.76.1037
    • Vandersypen, L. M. K. & Chuang, I. L. NMR techniques for quantum control and computation. Rev. Mod. Phys. 76, 1037-1069 (2004). (Pubitemid 40648306)
    • (2004) Reviews of Modern Physics , vol.76 , Issue.4 , pp. 1037-1069
    • Vandersypen, L.M.K.1    Chuang, I.L.2
  • 37
    • 47749155271 scopus 로고    scopus 로고
    • Liquid-state nuclear magnetic resonance as a testbed for developing quantum control methods
    • Ryan, C. A. et al. Liquid-state nuclear magnetic resonance as a testbed for developing quantum control methods. Phys. Rev. A 78, 012328 (2008).
    • (2008) Phys. Rev. A , vol.78 , pp. 012328
    • Ryan, C.A.1
  • 38
    • 78650544777 scopus 로고    scopus 로고
    • Thermal ground-state ordering and elementary excitations in artificial magnetic square ice
    • Morgan, J. P., Stein, A., Langridge, S. & Marrows, C. H. Thermal ground-state ordering and elementary excitations in artificial magnetic square ice. Nat. Phys. 7, 75-79 (2010).
    • (2010) Nat. Phys. , vol.7 , pp. 75-79
    • Morgan, J.P.1    Stein, A.2    Langridge, S.3    Marrows, C.H.4
  • 39
    • 36149010740 scopus 로고
    • Antiferromagnetism the triangular ising net
    • Wannier, G. Antiferromagnetism. The Triangular Ising Net. Phys. Rev. 79, 357-364 (1950).
    • (1950) Phys. Rev. , vol.79 , pp. 357-364
    • Wannier, G.1
  • 40
  • 41
    • 0034704748 scopus 로고    scopus 로고
    • An algorithmic benchmark for quantum information processing
    • DOI 10.1038/35006012
    • Knill, E. et al. An algorithmic benchmark for quantum information processing. Nature 404, 368-370 (2000). (Pubitemid 30164332)
    • (2000) Nature , vol.404 , Issue.6776 , pp. 368-370
    • Knill, E.1    Laflamme, R.2    Martinez, R.3    Tseng, C.-H.4
  • 42
    • 77954711245 scopus 로고    scopus 로고
    • Weak-coupling study of decoherence of a qubit in disordered magnetic environments
    • Winograd, E. A., Rozenberg, M. J. & Chitra, R. Weak-coupling study of decoherence of a qubit in disordered magnetic environments. Phys. Rev. B 80, 214429 (2009).
    • (2009) Phys. Rev. B , vol.80 , pp. 214429
    • Winograd, E.A.1    Rozenberg, M.J.2    Chitra, R.3
  • 43
    • 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
  • 44
    • 3042852737 scopus 로고    scopus 로고
    • State interrogation in nuclear magnetic resonance quantum-information processing
    • Leskowitz, G. & Mueller, L. State interrogation in nuclear magnetic resonance quantum-information processing. Phys. Rev. A 69, 052302 (2004).
    • (2004) Phys. Rev. A , vol.69 , pp. 052302
    • Leskowitz, G.1    Mueller, L.2
  • 45
    • 34748841353 scopus 로고
    • Elementary gates for quantum computation
    • Barenco, A. et al. Elementary gates for quantum computation. Phys. Rev. A 52, 3457-3467 (1995).
    • (1995) Phys. Rev. A , vol.52 , pp. 3457-3467
    • Barenco, A.1
  • 48
    • 79251558403 scopus 로고    scopus 로고
    • Experimental magic state distillation for fault-tolerant quantum computing
    • Souza, A. M. et al. Experimental magic state distillation for fault-tolerant quantum computing. Nat. Commun. 2, 169 (2011).
    • (2011) Nat. Commun. , vol.2 , pp. 169
    • Souza, A.M.1
  • 49
    • 11344283019 scopus 로고    scopus 로고
    • Optimal control of coupled spin dynamics: Design of NMR pulse sequences by gradient ascent algorithms
    • DOI 10.1016/j.jmr.2004.11.004, PII S1090780704003696
    • Khaneja, N. et al. Optimal control of coupled spin dynamics: design of NMR pulse sequences by gradient ascent algorithms. Journal of magnetic resonance. J. Magn. Reson. 172, 296-305 (2005). (Pubitemid 40072534)
    • (2005) Journal of Magnetic Resonance , vol.172 , Issue.2 , pp. 296-305
    • Khaneja, N.1    Reiss, T.2    Kehlet, C.3    Schulte-Herbruggen, T.4    Glaser, S.J.5
  • 51
    • 33646369944 scopus 로고    scopus 로고
    • Benchmarking quantum control methods on a 12-qubit system
    • Negrevergne, C. et al. Benchmarking quantum control methods on a 12-qubit system. Phys. Rev. Lett. 96, 170501 (2006).
    • (2006) Phys. Rev. Lett , vol.96 , pp. 170501
    • Negrevergne, C.1
  • 52
    • 33144467574 scopus 로고    scopus 로고
    • Solid-state NMR three-qubit homonuclear system for quantum-information processing: Control and characterization
    • Baugh, J. et al. Solid-state NMR three-qubit homonuclear system for quantum-information processing: control and characterization. Phys. Rev. A 73, 022305 (2006).
    • (2006) Phys. Rev. A , vol.73 , pp. 022305
    • Baugh, J.1
  • 53
    • 33646412841 scopus 로고    scopus 로고
    • Spin-bus concept of spin quantum computing
    • Mehring, M. & Mende, J. Spin-bus concept of spin quantum computing. Phys. Rev. A 73, 052303 (2006).
    • (2006) Phys. Rev. A , vol.73 , pp. 052303
    • Mehring, M.1    Mende, J.2
  • 54
    • 0342445175 scopus 로고
    • Slice selection in NMR imaging by use of the B1 gradient along the axial direction of a saddle-shaped coil
    • Maffei, P., Elbayed, K., Broundeau, J. & Canet, D. Slice selection in NMR imaging by use of the B1 gradient along the axial direction of a saddle-shaped coil. J. Magn. Reson. 95, 382-386 (1991).
    • (1991) J. Magn. Reson. , vol.95 , pp. 382-386
    • Maffei, P.1    Elbayed, K.2    Broundeau, J.3    Canet, D.4


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