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Volumn 86, Issue 4, 2012, Pages

High-fidelity adiabatic quantum computation via dynamical decoupling

Author keywords

[No Author keywords available]

Indexed keywords

ADIABATIC QUANTUM COMPUTATION; DECOHERENCE; DYNAMICAL DECOUPLING; HIGH-ORDER; NUMERICAL RESULTS;

EID: 84868031071     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.86.042333     Document Type: Article
Times cited : (38)

References (70)
  • 4
    • 33750165209 scopus 로고    scopus 로고
    • The complexity of the local hamiltonian problem
    • DOI 10.1137/S0097539704445226
    • J. Kempe, A. Kitaev, and O. Regev, SIAM J. Comput. SMJCAT 0097-5397 10.1137/S0097539704445226 35, 1070 (2006). (Pubitemid 44599919)
    • (2006) SIAM Journal on Computing , vol.35 , Issue.5 , pp. 1070-1097
    • Kempe, J.1    Kitaev, A.2    Regev, O.3
  • 7
    • 34548080068 scopus 로고    scopus 로고
    • Simple proof of equivalence between adiabatic quantum computation and the circuit model
    • DOI 10.1103/PhysRevLett.99.070502
    • A. Mizel, D. A. Lidar, and M. Mitchell, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.070502 99, 070502 (2007). (Pubitemid 47294601)
    • (2007) Physical Review Letters , vol.99 , Issue.7 , pp. 070502
    • Mizel, A.1    Lidar, D.A.2    Mitchell, M.3
  • 11
    • 0036146412 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.65.012322
    • A. M. Childs, E. Farhi, and J. Preskill, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.012322 65, 012322 (2001).
    • (2001) Phys. Rev. A , vol.65 , pp. 012322
    • Childs, A.M.1    Farhi, E.2    Preskill, J.3
  • 12
    • 29144522316 scopus 로고    scopus 로고
    • Adiabatic quantum computation in open systems
    • DOI 10.1103/PhysRevLett.95.250503, 250503
    • M. S. Sarandy and D. A. Lidar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.250503 95, 250503 (2005). (Pubitemid 41815965)
    • (2005) Physical Review Letters , vol.95 , Issue.25 , pp. 1-4
    • Sarandy, M.S.1    Lidar, D.A.2
  • 15
    • 61549125360 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.79.022107
    • M. H. S. Amin, D. V. Averin, and J. A. Nesteroff, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.022107 79, 022107 (2009).
    • (2009) Phys. Rev. A , vol.79 , pp. 022107
    • Amin, M.H.S.1    Averin, D.V.2    Nesteroff, J.A.3
  • 16
    • 40749092763 scopus 로고    scopus 로고
    • Thermally assisted adiabatic quantum computation
    • DOI 10.1103/PhysRevLett.100.060503
    • M. H. S. Amin, P. J. Love, and C. J. S. Truncik, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.060503 100, 060503 (2008). (Pubitemid 351391464)
    • (2008) Physical Review Letters , vol.100 , Issue.6 , pp. 060503
    • Amin, M.H.S.1    Love, P.J.2    Truncik, C.J.S.3
  • 18
    • 42549087705 scopus 로고    scopus 로고
    • Towards fault tolerant adiabatic quantum computation
    • DOI 10.1103/PhysRevLett.100.160506
    • D. A. Lidar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100. 160506 100, 160506 (2008). (Pubitemid 351590594)
    • (2008) Physical Review Letters , vol.100 , Issue.16 , pp. 160506
    • Lidar, D.A.1
  • 19
    • 0141983069 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.68.042322
    • A. M. Steane, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.042322 68, 042322 (2003).
    • (2003) Phys. Rev. A , vol.68 , pp. 042322
    • Steane, A.M.1
  • 20
    • 14844299396 scopus 로고    scopus 로고
    • Quantum computing with realistically noisy devices
    • DOI 10.1038/nature03350
    • E. Knill, Nature (London) NATUAS 0028-0836 10.1038/nature03350 434, 39 (2005). (Pubitemid 40349377)
    • (2005) Nature , vol.434 , Issue.7029 , pp. 39-44
    • Knill, E.1
  • 22
    • 33144474526 scopus 로고    scopus 로고
    • Fault-tolerant quantum computation with long-range correlated noise
    • DOI 10.1103/PhysRevLett.96.050504
    • D. Aharonov, A. Kitaev, and J. Preskill, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.050504 96, 050504 (2006). (Pubitemid 43270971)
    • (2006) Physical Review Letters , vol.96 , Issue.5 , pp. 050504
    • Aharonov, D.1    Kitaev, A.2    Preskill, J.3
  • 24
    • 34547281253 scopus 로고    scopus 로고
    • Subsystem fault tolerance with the Bacon-Shor code
    • DOI 10.1103/PhysRevLett.98.220502
    • P. Aliferis and A. W. Cross, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.220502 98, 220502 (2007). (Pubitemid 47139736)
    • (2007) Physical Review Letters , vol.98 , Issue.22 , pp. 220502
    • Aliferis, P.1    Cross, A.W.2
  • 25
    • 84868034068 scopus 로고    scopus 로고
    • P-should be preserved.
    • P -should be preserved.
  • 26
    • 0000052107 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.58.2733
    • L. Viola and S. Lloyd, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.58. 2733 58, 2733 (1998).
    • (1998) Phys. Rev. A , vol.58 , pp. 2733
    • Viola, L.1    Lloyd, S.2
  • 27
    • 0040219943 scopus 로고    scopus 로고
    • PYLAAG 0375-9601 10.1016/S0375-9601(99)00365-5
    • P. Zanardi, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(99)00365-5 258, 77 (1999).
    • (1999) Phys. Lett. A , vol.258 , pp. 77
    • Zanardi, P.1
  • 28
    • 4243653638 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.82.2417
    • L. Viola, E. Knill, and S. Lloyd, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.2417 82, 2417 (1999).
    • (1999) Phys. Rev. Lett. , vol.82 , pp. 2417
    • Viola, L.1    Knill, E.2    Lloyd, S.3
  • 29
    • 0032679721 scopus 로고    scopus 로고
    • IETTAW 0018-9448 10.1109/18.746807
    • E. Rains, IEEE Trans. Inf. Theory IETTAW 0018-9448 10.1109/18.746807 45, 266 (1999).
    • (1999) IEEE Trans. Inf. Theory , vol.45 , pp. 266
    • Rains, E.1
  • 30
    • 84868034077 scopus 로고    scopus 로고
    • It can be shown that in an appropriate rotating frame the DD protection technique of Ref. is essentially equivalent to the method of energy-gap protection of AQC.
    • It can be shown that in an appropriate rotating frame the DD protection technique of Ref. is essentially equivalent to the method of energy-gap protection of AQC.
  • 31
    • 28844473569 scopus 로고    scopus 로고
    • Fault-tolerant quantum dynamical decoupling
    • DOI 10.1103/PhysRevLett.95.180501, 180501
    • K. Khodjasteh and D. A. Lidar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.180501 95, 180501 (2005). (Pubitemid 41777257)
    • (2005) Physical Review Letters , vol.95 , Issue.18 , pp. 1-4
    • Khodjasteh, K.1    Lidar, D.A.2
  • 32
    • 45749153790 scopus 로고    scopus 로고
    • NJOPFM 1367-2630 10.1088/1367-2630/10/2/023011
    • K. M. R. Audenaert and S. Scheel, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/10/2/023011 10, 023011 (2008).
    • (2008) New J. Phys. , vol.10 , pp. 023011
    • Audenaert, K.M.R.1    Scheel, S.2
  • 34
    • 72149129752 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.80.062326
    • M. H. S. Amin and V. Choi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.062326 80, 062326 (2009).
    • (2009) Phys. Rev. A , vol.80 , pp. 062326
    • Amin, M.H.S.1    Choi, V.2
  • 35
    • 4243807288 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.79.325
    • L. K. Grover, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79. 325 79, 325 (1997).
    • (1997) Phys. Rev. Lett. , vol.79 , pp. 325
    • Grover, L.K.1
  • 37
    • 0036542418 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.65.042308
    • J. Roland and N. J. Cerf, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.042308 65, 042308 (2002).
    • (2002) Phys. Rev. A , vol.65 , pp. 042308
    • Roland, J.1    Cerf, N.J.2
  • 40
    • 84868036064 scopus 로고    scopus 로고
    • j}j=1n associated with n bits, such that each clause acts only on adjacent bits, the 2-SAT Hamiltonian acquires minimum energy when there are satisfying assignments for all clauses. In our transverse-field Ising model representation the clauses define agreement between adjacent bits (00 or 11, but not 01 or 10).
    • j } j = 1 n associated with n bits, such that each clause acts only on adjacent bits, the 2-SAT Hamiltonian acquires minimum energy when there are satisfying assignments for all clauses. In our transverse-field Ising model representation the clauses define agreement between adjacent bits (00 or 11, but not 01 or 10).
  • 42
    • 33644885030 scopus 로고    scopus 로고
    • Non-gaussian low-frequency noise as a source of qubit decoherence
    • DOI 10.1103/PhysRevLett.96.097009, 097009
    • Y. M. Galperin, B. L. Altshuler, J. Bergli, and D. V. Shantsev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.097009 96, 097009 (2006). (Pubitemid 43385257)
    • (2006) Physical Review Letters , vol.96 , Issue.9 , pp. 1-4
    • Galperin, Y.M.1    Altshuler, B.L.2    Bergli, J.3    Shantsev, D.V.4
  • 44
    • 84868008529 scopus 로고    scopus 로고
    • ad.
    • ad.
  • 45
    • 84868008532 scopus 로고    scopus 로고
    • The inclusion of pulse-width errors is left for a future study focusing on a more complete picture of fault tolerance; CDD is known to be relatively robust against such errors.
    • The inclusion of pulse-width errors is left for a future study focusing on a more complete picture of fault tolerance; CDD is known to be relatively robust against such errors.
  • 46
    • 79961116619 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.84.012305
    • H. K. Ng, D. A. Lidar, and J. Preskill, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.84.012305 84, 012305 (2011).
    • (2011) Phys. Rev. A , vol.84 , pp. 012305
    • Ng, H.K.1    Lidar, D.A.2    Preskill, J.3
  • 47
    • 77957818049 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.82.042306
    • G. A. Alvarez, A. Ajoy, X. Peng, and D. Suter, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.042306 82, 042306 (2010).
    • (2010) Phys. Rev. A , vol.82 , pp. 042306
    • Alvarez, G.A.1    Ajoy, A.2    Peng, X.3    Suter, D.4
  • 48
    • 58149396539 scopus 로고    scopus 로고
    • PRPLCM 0370-1573 10.1016/j.physrep.2008.11.001
    • S. Blanes, F. Casas, J. Oteo, and J. Ros, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2008.11.001 470, 151 (2009).
    • (2009) Phys. Rep. , vol.470 , pp. 151
    • Blanes, S.1    Casas, F.2    Oteo, J.3    Ros, J.4
  • 49
    • 18144453656 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.85.3520
    • L. Viola, E. Knill, and S. Lloyd, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.3520 85, 3520 (2000).
    • (2000) Phys. Rev. Lett. , vol.85 , pp. 3520
    • Viola, L.1    Knill, E.2    Lloyd, S.3
  • 51
    • 37249000852 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.76.241303
    • W. M. Witzel and S. Das Sarma, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.76.241303 76, 241303 (2007).
    • (2007) Phys. Rev. B , vol.76 , pp. 241303
    • Witzel, W.M.1    Das Sarma, S.2
  • 52
    • 80051489970 scopus 로고    scopus 로고
    • JPAPEH 0953-4075 10.1088/0953-4075/44/15/154003
    • X. Peng, D. Suter, and D. A. Lidar, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/44/15/154003 44, 154003 (2011).
    • (2011) J. Phys. B , vol.44 , pp. 154003
    • Peng, X.1    Suter, D.2    Lidar, D.A.3
  • 53
    • 77950392958 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.104.130501
    • J. R. West, B. H. Fong, and D. A. Lidar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.130501 104, 130501 (2010).
    • (2010) Phys. Rev. Lett. , vol.104 , pp. 130501
    • West, J.R.1    Fong, B.H.2    Lidar, D.A.3
  • 54
    • 33947130227 scopus 로고    scopus 로고
    • Keeping a quantum bit alive by optimized pulse sequences
    • DOI 10.1103/PhysRevLett.98.100504
    • G. S. Uhrig, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98. 100504 98, 100504 (2007). (Pubitemid 46397329)
    • (2007) Physical Review Letters , vol.98 , Issue.10 , pp. 100504
    • Uhrig, G.S.1
  • 55
    • 80054760366 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.84.042328
    • G. Quiroz and D. A. Lidar, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.84.042328 84, 042328 (2011).
    • (2011) Phys. Rev. A , vol.84 , pp. 042328
    • Quiroz, G.1    Lidar, D.A.2
  • 56
    • 80054747830 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.84.042329
    • W.-J. Kuo and D. A. Lidar, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.84.042329 84, 042329 (2011).
    • (2011) Phys. Rev. A , vol.84 , pp. 042329
    • Kuo, W.-J.1    Lidar, D.A.2
  • 57
    • 84855290507 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.84.060302
    • L. Jiang and A. Imambekov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.84.060302 84, 060302 (2011).
    • (2011) Phys. Rev. A , vol.84 , pp. 060302
    • Jiang, L.1    Imambekov, A.2
  • 61
    • 84856456948 scopus 로고    scopus 로고
    • NJOPFM 1367-2630 10.1088/1367-2630/14/1/013024
    • N. Wiebe and N. S. Babcock, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/14/1/013024 14, 013024 (2012).
    • (2012) New J. Phys. , vol.14 , pp. 013024
    • Wiebe, N.1    Babcock, N.S.2
  • 62
    • 79956323901 scopus 로고    scopus 로고
    • NJOPFM 1367-2630 10.1088/1367-2630/13/5/059504
    • G. S. Uhrig, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/13/5/059504 13, 059504 (2011).
    • (2011) New J. Phys. , vol.13 , pp. 059504
    • Uhrig, G.S.1
  • 63
    • 68649124820 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.103.040501
    • H. Uys, M. J. Biercuk, and J. J. Bollinger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.040501 103, 040501 (2009).
    • (2009) Phys. Rev. Lett. , vol.103 , pp. 040501
    • Uys, H.1    Biercuk, M.J.2    Bollinger, J.J.3
  • 69
    • 78649603842 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.82.052305
    • A. T. Rezakhani, A. K. Pimachev, and D. A. Lidar, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.052305 82, 052305 (2010).
    • (2010) Phys. Rev. A , vol.82 , pp. 052305
    • Rezakhani, A.T.1    Pimachev, A.K.2    Lidar, D.A.3


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