메뉴 건너뛰기




Volumn 84, Issue 4, 2011, Pages

Quantum computational universality of the Cai-Miyake-Dür-Briegel two-dimensional quantum state from Affleck-Kennedy-Lieb-Tasaki quasichains

Author keywords

[No Author keywords available]

Indexed keywords

CLUSTER STATE; COMPUTATIONAL UNIVERSALITY; LOCAL OPERATIONS; LOGICAL QUBITS; MEASUREMENT-BASED QUANTUM COMPUTATION; QUANTUM MAGNETS; QUANTUM STATE; SINGLE-SPIN MEASUREMENT; TWO-DIMENSIONAL CLUSTERS;

EID: 80054732025     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.84.042333     Document Type: Article
Times cited : (7)

References (31)
  • 2
    • 0035963060 scopus 로고    scopus 로고
    • A one-way quantum computer
    • DOI 10.1103/PhysRevLett.86.5188
    • R. Raussendorf and H. J. Briegel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.5188 86, 5188 (2001). (Pubitemid 32527770)
    • (2001) Physical Review Letters , vol.86 , Issue.22 , pp. 5188-5191
    • Raussendorf, R.1    Briegel, H.J.2
  • 4
    • 0035137538 scopus 로고    scopus 로고
    • Persistent entanglement in arrays of interacting particles
    • DOI 10.1103/PhysRevLett.86.910
    • H. J. Briegel and R. Raussendorf, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.910 86, 910 (2001). (Pubitemid 32159821)
    • (2001) Physical Review Letters , vol.86 , Issue.5 , pp. 910-913
    • Briegel, H.J.1    Raussendorf, R.2
  • 5
    • 3142782717 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.69.062311
    • M. Hein, J. Eisert, and H.-J. Briegel, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.062311 69, 062311 (2004).
    • (2004) Phys. Rev. A , vol.69 , pp. 062311
    • Hein, M.1    Eisert, J.2    Briegel, H.-J.3
  • 6
    • 33749989342 scopus 로고    scopus 로고
    • Universal resources for measurement-based quantum computation
    • DOI 10.1103/PhysRevLett.97.150504
    • M. Van den Nest, A. Miyake, W. Dür, and H. J. Briegel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.150504 97, 150504 (2006). (Pubitemid 44570410)
    • (2006) Physical Review Letters , vol.97 , Issue.15 , pp. 150504
    • Van Den Nest, M.1    Miyake, A.2    Dur, W.3    Briegel, H.J.4
  • 7
    • 65549137188 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.102.190501
    • D. Gross, S. T. Flammia, and J. Eisert, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.190501 102, 190501 (2009);
    • (2009) Phys. Rev. Lett. , vol.102 , pp. 190501
    • Gross, D.1    Flammia, S.T.2    Eisert, J.3
  • 8
    • 65549153263 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.102.190502
    • M. J. Bremner, C. Mora, and A. Winter, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.190502 102, 190502 (2009).
    • (2009) Phys. Rev. Lett. , vol.102 , pp. 190502
    • Bremner, M.J.1    Mora, C.2    Winter, A.3
  • 9
    • 34547311239 scopus 로고    scopus 로고
    • Novel schemes for measurement-based quantum computation
    • DOI 10.1103/PhysRevLett.98.220503
    • D. Gross and J. Eisert, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.220503 98, 220503 (2007); (Pubitemid 47139735)
    • (2007) Physical Review Letters , vol.98 , Issue.22 , pp. 220503
    • Gross, D.1    Eisert, J.2
  • 11
    • 78650931879 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.82.040303
    • D. Gross and J. Eisert, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.040303 82, 040303 (2010).
    • (2010) Phys. Rev. A , vol.82 , pp. 040303
    • Gross, D.1    Eisert, J.2
  • 13
    • 80054755520 scopus 로고    scopus 로고
    • Measurement-based quantum computation with these new resource states take place in the so-called "correlation space" rather than the Hilbert space of physical qubits; see Ref.
    • Measurement-based quantum computation with these new resource states take place in the so-called "correlation space" rather than the Hilbert space of physical qubits; see Ref..
  • 14
    • 33750316889 scopus 로고    scopus 로고
    • Simple nearest-neighbor two-body Hamiltonian system for which the ground state is a universal resource for quantum computation
    • DOI 10.1103/PhysRevA.74.040302
    • S. D. Bartlett and T. Rudolph, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.040302 74, 040302 (2006). (Pubitemid 44631125)
    • (2006) Physical Review A - Atomic, Molecular, and Optical Physics , vol.74 , Issue.4 , pp. 040302
    • Bartlett, S.D.1    Rudolph, T.2
  • 16
    • 78649534838 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.82.052309
    • J.-M. Cai, A. Miyake, W. Dür, and H. J. Briegel, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.052309 82, 052309 (2010).
    • (2010) Phys. Rev. A , vol.82 , pp. 052309
    • Cai, J.-M.1    Miyake, A.2    Dür, W.3    Briegel, H.J.4
  • 17
    • 79951601920 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.106.070501
    • T.-C. Wei, I. Affleck, and R. Raussendorf, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.070501 106, 070501 (2011);
    • (2011) Phys. Rev. Lett. , vol.106 , pp. 070501
    • Wei, T.-C.1    Affleck, I.2    Raussendorf, R.3
  • 18
    • 80054752177 scopus 로고    scopus 로고
    • e-print arXiv: 1009.2840 (unpublished)
    • e-print arXiv: 1009.2840 (unpublished).
  • 19
    • 79957631084 scopus 로고    scopus 로고
    • APNYA6 0003-4916 10.1016/j.aop.2011.03.006
    • A. Miyake, Ann. Phys. (Leipzig) APNYA6 0003-4916 10.1016/j.aop.2011.03. 006 326, 1656 (2011).
    • (2011) Ann. Phys. (Leipzig) , vol.326 , pp. 1656
    • Miyake, A.1
  • 20
    • 33744535413 scopus 로고    scopus 로고
    • RMHPBE 0034-4877 10.1016/S0034-4877(06)80014-5
    • M. A. Nielsen, Rep. Math. Phys. RMHPBE 0034-4877 10.1016/S0034-4877(06) 80014-5 57, 147 (2005).
    • (2005) Rep. Math. Phys. , vol.57 , pp. 147
    • Nielsen, M.A.1
  • 23
    • 46949111180 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.101.010502
    • G. K. Brennen and A. Miyake, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.010502 101, 010502 (2008).
    • (2008) Phys. Rev. Lett. , vol.101 , pp. 010502
    • Brennen, G.K.1    Miyake, A.2
  • 24
    • 80054716677 scopus 로고    scopus 로고
    • Ph.D. thesis, California Institute of Technology
    • D. Gottesman, Ph.D. thesis, California Institute of Technology, 1997 (unpublished).
    • (1997)
    • Gottesman, D.1
  • 25
    • 80054717258 scopus 로고    scopus 로고
    • v|ψ=|ψ. One important property of qubit stabilizer operators is that, when the number of independent stabilizer operators equals that of the total number of qubits in |ψ, the state is uniquely determined. If there is one less independent stabilizer, then the state is only determined up to a subspace of an effective qubit. For details, see Ref.
    • v|ψ=|ψ. One important property of qubit stabilizer operators is that, when the number of independent stabilizer operators equals that of the total number of qubits in |ψ, the state is uniquely determined. If there is one less independent stabilizer, then the state is only determined up to a subspace of an effective qubit. For details, see Ref.
  • 26
    • 77954391604 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.105.020502
    • X. Chen, R. Duan, Z. Ji, and B. Zeng, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.020502 105, 020502 (2010).
    • (2010) Phys. Rev. Lett. , vol.105 , pp. 020502
    • Chen, X.1    Duan, R.2    Ji, Z.3    Zeng, B.4
  • 27
    • 80054716962 scopus 로고    scopus 로고
    • 2 before measurement
    • 2 before measurement.
  • 29
    • 0033604507 scopus 로고    scopus 로고
    • NATUAS 0028-0836 10.1038/46503
    • D. Gottesman and I. Chuang, Nature (London) NATUAS 0028-0836 10.1038/46503 402, 390 (1999).
    • (1999) Nature (London) , vol.402 , pp. 390
    • Gottesman, D.1    Chuang, I.2
  • 30
    • 34547377161 scopus 로고    scopus 로고
    • Fundamentals of universality in one-way quantum computation
    • DOI 10.1088/1367-2630/9/6/204, PII S1367263007439143
    • M. Van den Nest, W. Dür, A. Miyake, and H. J. Briegel, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/9/6/204 9, 204 (2007). (Pubitemid 47146359)
    • (2007) New Journal of Physics , vol.9 , pp. 204
    • Van Den Nest, M.1    Dur, W.2    Miyake, A.3    Briegel, H.J.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.