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Volumn 56, Issue 7, 2011, Pages 1535-1550

Direct and indirect couplings in coherent feedback control of linear quantum systems

Author keywords

Coherent feedback; dissipation; gain; H control; LQG control; passivity; quantum feedback control

Indexed keywords

COHERENT FEEDBACK; GAIN; LQG CONTROL; PASSIVITY; QUANTUM FEEDBACK CONTROL;

EID: 79960130455     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2010.2096010     Document Type: Article
Times cited : (158)

References (57)
  • 2
    • 84904780565 scopus 로고
    • Theory of the control of observable quantum systems
    • V. P. Belavkin, "On the theory of controlling observable quantum systems," Autom. Remote Control, vol. 44, no. 2, pp. 178-188, 1983. (Pubitemid 13605353)
    • (1983) Automation and Remote Control , vol.44 , Issue.2 PART 1 , pp. 178-188
    • Belavkin, V.P.1
  • 3
    • 0000017251 scopus 로고
    • Quantum stochastic calculus and quantum nonlinear filtering
    • V. P. Belavkin, "Quantum stochastic calculus and quantum nonlinear filtering," J. Multivariate Anal., vol. 42, no. 2, pp. 171-201, 1992.
    • (1992) J. Multivariate Anal. , vol.42 , Issue.2 , pp. 171-201
    • Belavkin, V.P.1
  • 4
    • 62549086029 scopus 로고    scopus 로고
    • Dynamical programming of continuously observed quantum systems
    • V. P. Belavkin, A. Negretti, and K. Molmer, "Dynamical programming of continuously observed quantum systems," Phys. Rev. A, vol. 79, p. 022123, 2009.
    • (2009) Phys. Rev. A , vol.79 , pp. 022123
    • Belavkin, V.P.1    Negretti, A.2    Molmer, K.3
  • 5
    • 40849121360 scopus 로고    scopus 로고
    • An introduction to quantum filtering
    • L. Bouten, R. Van Handel, and M. R. James, "An introduction to quantum filtering," SIAM J. Control Optim., vol. 46, no. 6, pp. 2199-2241, 2007.
    • (2007) SIAM J. Control Optim. , vol.46 , Issue.6 , pp. 2199-2241
    • Bouten, L.1    Van Handel, R.2    James, M.R.3
  • 6
    • 65649109298 scopus 로고    scopus 로고
    • A discrete invitation to quantum filtering and feedback control
    • L. Bouten, R. van Handel, and M. R. James, "A discrete invitation to quantum filtering and feedback control," SIAM Rev., vol. 51, pp. 239-316, 2009.
    • (2009) SIAM Rev. , vol.51 , pp. 239-316
    • Bouten, L.1    Van Handel, R.2    James, M.R.3
  • 7
    • 65049089931 scopus 로고    scopus 로고
    • Observer-based Hamiltonian identification for quantum systems
    • S. Bonnabel, M. Mirrahimi, and P. Rouchon, "Observer-based Hamiltonian identification for quantum systems," Automatica, vol. 45, pp. 1144-1155, 2009.
    • (2009) Automatica , vol.45 , pp. 1144-1155
    • Bonnabel, S.1    Mirrahimi, M.2    Rouchon, P.3
  • 9
    • 40849145524 scopus 로고    scopus 로고
    • Efficient feedback controllers for continuous-time quantum error correction
    • B. A. Chase, A. J. Landahl, and J. M. Geremia, "Efficient feedback controllers for continuous-time quantum error correction," Phys. Rev. A, vol. 77, p. 032304, 2008.
    • (2008) Phys. Rev. A , vol.77 , pp. 032304
    • Chase, B.A.1    Landahl, A.J.2    Geremia, J.M.3
  • 10
    • 34147203566 scopus 로고    scopus 로고
    • Optical coherent state discrimination using a closed-loop quantum measurement
    • DOI 10.1038/nature05655, PII NATURE05655
    • R. L. Cook, P. J. Martin, and J. M. Geremia, "Optical coherent state discrimination using a closed-loop quantum measurement," Nature, vol. 446, pp. 774-777, 2007. (Pubitemid 46582028)
    • (2007) Nature , vol.446 , Issue.7137 , pp. 774-777
    • Cook, R.L.1    Martin, P.J.2    Geremia, J.M.3
  • 11
    • 42449121845 scopus 로고    scopus 로고
    • Rapid measurement of quantum systems using feedback control
    • J. Combes, H. M. Wiseman, and K. Jacobs, "Rapid measurement of quantum systems using feedback control," Phys. Rev. Lett., vol. 100, p. 160503, 2008.
    • (2008) Phys. Rev. Lett. , vol.100 , pp. 160503
    • Combes, J.1    Wiseman, H.M.2    Jacobs, K.3
  • 12
    • 47749118420 scopus 로고    scopus 로고
    • Controlling entanglement by direct quantum feedback
    • A. R. R. Carvalho, A. J. S. Reid, and J. J. Hope, "Controlling entanglement by direct quantum feedback," Phys. Rev. A, vol. 78, p. 012334, 2008.
    • (2008) Phys. Rev. A , vol.78 , pp. 012334
    • Carvalho, A.R.R.1    Reid, A.J.S.2    Hope, J.J.3
  • 15
    • 76249086972 scopus 로고    scopus 로고
    • The series product and its application to quantum feedforward and feedback networks
    • Nov.
    • J. E. Gough and M. R. James, "The series product and its application to quantum feedforward and feedback networks," IEEE Trans. Autom. Control, vol. 54, no. 11, pp. 2530-2544, Nov. 2009.
    • (2009) IEEE Trans. Autom. Control , vol.54 , Issue.11 , pp. 2530-2544
    • Gough, J.E.1    James, M.R.2
  • 16
    • 76249110907 scopus 로고    scopus 로고
    • Squeezing components in linear quantum feedback networks
    • J. E. Gough, M. R. James, and H. I. Nurdin, "Squeezing components in linear quantum feedback networks," Phys. Rev. A, vol. 81, p. 023804, 2010.
    • (2010) Phys. Rev. A , vol.81 , pp. 023804
    • Gough, J.E.1    James, M.R.2    Nurdin, H.I.3
  • 17
    • 56249116550 scopus 로고    scopus 로고
    • Construction of bilinear control Hamiltonians using the series product and quantum feedback
    • J. E. Gough, "Construction of bilinear control Hamiltonians using the series product and quantum feedback," Phys. Rev. A, vol. 78, p. 052311, 2008.
    • (2008) Phys. Rev. A , vol.78 , pp. 052311
    • Gough, J.E.1
  • 18
    • 62549158673 scopus 로고    scopus 로고
    • Quantum feedback networks: Hamiltonian formulation
    • J. E. Gough and M. R. James, "Quantum feedback networks: Hamiltonian formulation," Commun. Math. Phys., vol. 287, pp. 1109-1132, 2009.
    • (2009) Commun. Math. Phys. , vol.287 , pp. 1109-1132
    • Gough, J.E.1    James, M.R.2
  • 19
    • 77955390600 scopus 로고    scopus 로고
    • Quantum dissipative systems and feedback control design by interconnection
    • Aug.
    • M. R. James and J. E. Gough, "Quantum dissipative systems and feedback control design by interconnection," IEEE Trans. Autom. Control vol. 55, no. 8, pp. 1806-1821, Aug. 2010.
    • (2010) IEEE Trans. Autom. Control , vol.55 , Issue.8 , pp. 1806-1821
    • James, M.R.1    Gough, J.E.2
  • 21
    • 62549098453 scopus 로고    scopus 로고
    • Quantum feedback control: How to use verification theorems and viscosity solutions to find optimal protocols
    • K. Jacobs and A. Shabani, "Quantum feedback control: How to use verification theorems and viscosity solutions to find optimal protocols," Contemp. Phys., vol. 49, pp. 435-448, 2008.
    • (2008) Contemp. Phys. , vol.49 , pp. 435-448
    • Jacobs, K.1    Shabani, A.2
  • 22
    • 77954903735 scopus 로고    scopus 로고
    • Designing quantum memories with embedded control: Photonic circuits for autonomous quantum error correction
    • J. Kerckhoff, H. I. Nurdin, D. Pavlichin, and H. Mabuchi, "Designing quantum memories with embedded control: Photonic circuits for autonomous quantum error correction," Phys. Rev. Lett., vol. 105, p. 040502, 2010.
    • (2010) Phys. Rev. Lett. , vol.105 , pp. 040502
    • Kerckhoff, J.1    Nurdin, H.I.2    Pavlichin, D.3    Mabuchi, H.4
  • 23
    • 67349233545 scopus 로고    scopus 로고
    • Control of quantum systems despite feedback delay
    • Apr.
    • K. Kashima and N. Yamamoto, "Control of quantum systems despite feedback delay," IEEE Trans. Autom. Control, vol. 54, no. 4, pp. 876-881, Apr. 2009.
    • (2009) IEEE Trans. Autom. Control , vol.54 , Issue.4 , pp. 876-881
    • Kashima, K.1    Yamamoto, N.2
  • 24
    • 0034250760 scopus 로고    scopus 로고
    • Coherent quantum feedback
    • S. Lloyd, "Coherent quantum feedback," Phys. Rev. A, vol. 62, p. 022108, 2000.
    • (2000) Phys. Rev. A , vol.62 , pp. 022108
    • Lloyd, S.1
  • 25
    • 52349120012 scopus 로고    scopus 로고
    • Coherent-feedback quantum control with a dynamic compensator
    • H. Mabuchi, "Coherent-feedback quantum control with a dynamic compensator," Phys. Rev. A, vol. 78, p. 032323, 2008.
    • (2008) Phys. Rev. A , vol.78 , pp. 032323
    • Mabuchi, H.1
  • 26
    • 27644523720 scopus 로고    scopus 로고
    • Principles and applications of control in quantum systems
    • DOI 10.1002/rnc.1016, Control at Small Length Scales: Issue 1
    • H. Mabuchi and N. Khaneja, "Principles and applications of control in quantum systems," Int. J. Robust Nonlinear Control, vol. 15, no. 15, pp. 647-667, 2005. (Pubitemid 41568321)
    • (2005) International Journal of Robust and Nonlinear Control , vol.15 , Issue.15 , pp. 647-667
    • Mabuchi, H.1    Khaneja, N.2
  • 27
    • 70449657688 scopus 로고    scopus 로고
    • ∞ control for a class of linear complex quantum systems
    • ∞ control for a class of linear complex quantum systems," in Proc. Amer. Control Conf., 2009, pp. 1472-1479.
    • (2009) Proc. Amer. Control Conf. , pp. 1472-1479
    • Maalouf, A.1    Petersen, I.R.2
  • 28
    • 34548854458 scopus 로고    scopus 로고
    • Stabilizing feedback controls for quantum systems
    • DOI 10.1137/050644793
    • M. Mirrahimi and R. van Handel, "Stabilizing feedback controls for quantum system," SIAM J. Control Optim., vol. 46, no. 2, pp. 445-467, 2007. (Pubitemid 351456423)
    • (2007) SIAM Journal on Control and Optimization , vol.46 , Issue.2 , pp. 445-467
    • Mirrahimi, M.1    Van Handel, R.2
  • 29
    • 67649607487 scopus 로고    scopus 로고
    • Coherent quantum LQG control
    • H. I. Nurdin, M. R. James, and I. R. Petersen, "Coherent quantum LQG control," Automatica, vol. 45, pp. 1837-1846, 2009.
    • (2009) Automatica , vol.45 , pp. 1837-1846
    • Nurdin, H.I.1    James, M.R.2    Petersen, I.R.3
  • 30
    • 84907856358 scopus 로고    scopus 로고
    • Network synthesis of linear dynamical quantum stochastic systems
    • H. I. Nurdin, M. R. James, and A. C. Doherty, "Network synthesis of linear dynamical quantum stochastic systems," SIAM J. Control Optim., vol. 48, pp. 2686-2718, 2009.
    • (2009) SIAM J. Control Optim. , vol.48 , pp. 2686-2718
    • Nurdin, H.I.1    James, M.R.2    Doherty, A.C.3
  • 32
    • 0031191562 scopus 로고    scopus 로고
    • Multiobjective output-feedback control via LMI optimization
    • PII S0018928697050691
    • C. Scherer, P. Gahinet, and M. Chilali, "Multiobjective output-feedback control via LMI optimization," IEEE Trans. Autom. Control, vol. 42, no. 7, pp. 896-911, Jul. 1997. (Pubitemid 127826249)
    • (1997) IEEE Transactions on Automatic Control , vol.42 , Issue.7 , pp. 896-911
    • Scherer, C.1    Gahinet, P.2    Chilali, M.3
  • 33
    • 77950817154 scopus 로고    scopus 로고
    • On the physical realizability of general linear quantum stochastic differential equations with complex coefficients
    • S. Shaiju and I. Petersen, "On the physical realizability of general linear quantum stochastic differential equations with complex coefficients," in Proc. 48th IEEE CDC, 2009, pp. 1422-1427.
    • (2009) Proc. 48th IEEE CDC , pp. 1422-1427
    • Shaiju, S.1    Petersen, I.2
  • 34
    • 68849115457 scopus 로고    scopus 로고
    • Continuous measurement feedback control of a Bose-Einstein condensate using phase-contrast imaging
    • S. S. Szigeti, M. R. Hush, A. R. R. Carvalho, and J. J. Hope, "Continuous measurement feedback control of a Bose-Einstein condensate using phase-contrast imaging," Phys. Rev. A, vol. 80, p. 013614, 2009.
    • (2009) Phys. Rev. A , vol.80 , pp. 013614
    • Szigeti, S.S.1    Hush, M.R.2    Carvalho, A.R.R.3    Hope, J.J.4
  • 35
    • 33749493006 scopus 로고    scopus 로고
    • Polarization squeezing by optical Faraday rotation
    • J. F. Sherson and K. Molmer, "Polarization squeezing by optical Faraday rotation," Phys. Rev. Lett., vol. 97, p. 143602, 2006.
    • (2006) Phys. Rev. Lett. , vol.97 , pp. 143602
    • Sherson, J.F.1    Molmer, K.2
  • 36
    • 49749088931 scopus 로고    scopus 로고
    • Quantum stochastic calculus approach to modeling double-pass atom-field coupling
    • G. Sarma, A. Silberfarb, and H. Mabuchi, "Quantum stochastic calculus approach to modeling double-pass atom-field coupling," Phys. Rev. A, vol. 78, p. 025801, 2008.
    • (2008) Phys. Rev. A , vol.78 , pp. 025801
    • Sarma, G.1    Silberfarb, A.2    Mabuchi, H.3
  • 37
    • 19544372946 scopus 로고    scopus 로고
    • Deterministic Dicke-state preparation with continuous measurement and control
    • J. K. Stockton, R. Van Handel, and H. Mabuchi, "Deterministic Dicke-state preparation with continuous measurement and control," Phys. Rev. A, vol. 70, p. 022106, 2004.
    • (2004) Phys. Rev. A , vol.70 , pp. 022106
    • Stockton, J.K.1    Van Handel, R.2    Mabuchi, H.3
  • 38
    • 4243965692 scopus 로고    scopus 로고
    • Continuous quantum nondemolition feedback and unconditional atomic spin squeezing
    • L. Thomsen, S. Mancini, and H. M. Wiseman, "Continuous quantum nondemolition feedback and unconditional atomic spin squeezing," Phys. Rev. A, vol. 65, p. 061801, 2002.
    • (2002) Phys. Rev. A , vol.65 , pp. 061801
    • Thomsen, L.1    Mancini, S.2    Wiseman, H.M.3
  • 40
  • 42
    • 50649116875 scopus 로고    scopus 로고
    • The behavioral approach to open and interconnected systems
    • Dec.
    • J. C. Willems, "The behavioral approach to open and interconnected systems," IEEE Control Syst., vol. 27, no. 6, pp. 46-99, Dec. 2007.
    • (2007) IEEE Control Syst. , vol.27 , Issue.6 , pp. 46-99
    • Willems, J.C.1
  • 43
    • 0036257328 scopus 로고    scopus 로고
    • Synthesis of dissipative systems using quadratic differential forms: Part I
    • DOI 10.1109/9.981722, PII S0018928602010954
    • J. C. Willems and H. L. Trentelman, "Synthesis of dissipative systems using quadratic differential forms: Part I," IEEE Trans. Autom. Control, vol. 47, no. 1, pp. 53-69, Jan. 2002. (Pubitemid 34504322)
    • (2002) IEEE Transactions on Automatic Control , vol.47 , Issue.1 , pp. 53-69
    • Willems, J.C.1    Trentelman, H.L.2
  • 44
    • 12044249221 scopus 로고
    • Quantum theory of optical feedback via homodyne detection
    • DOI 10.1103/PhysRevLett.70.548
    • H. M. Wiseman and G. J. Milburn, "Quantum theory of optical feedback via homodyne detection," Phys. Rev. Lett., vol. 70, pp. 548-551, 1993. (Pubitemid 23684263)
    • (1993) Physical Review Letters , vol.70 , Issue.5 , pp. 548-551
    • Wiseman, H.M.1    Milburn, G.J.2
  • 45
    • 25344449349 scopus 로고
    • All-optical versus electro-optical quantum-limited feedback
    • H. M. Wiseman and G. J. Milburn, "All-optical versus electro-optical quantum-limited feedback," Phys. Rev. A, vol. 49, no. 5, pp. 4110-4125, 1994.
    • (1994) Phys. Rev. A , vol.49 , Issue.5 , pp. 4110-4125
    • Wiseman, H.M.1    Milburn, G.J.2
  • 46
    • 0036655885 scopus 로고    scopus 로고
    • Bayesian feedback versus Markovian feedback in a two-level atom
    • H. M. Wiseman, S. Mancini, and J. Wang, "Bayesian feedback versus Markovian feedback in a two-level atom," Phys. Rev. A, vol. 66, p. 013807, 2002.
    • (2002) Phys. Rev. A , vol.66 , pp. 013807
    • Wiseman, H.M.1    Mancini, S.2    Wang, J.3
  • 48
    • 59649090736 scopus 로고    scopus 로고
    • Quantum risk-sensitive estimation and robustness
    • Jan.
    • N. Yamamoto and L. Bouten, "Quantum risk-sensitive estimation and robustness," IEEE Trans. Autom. Control, vol. 54, no. 1, pp. 92-107, Jan. 2009.
    • (2009) IEEE Trans. Autom. Control , vol.54 , Issue.1 , pp. 92-107
    • Yamamoto, N.1    Bouten, L.2
  • 49
    • 62149150365 scopus 로고    scopus 로고
    • Atom-laser coherence via multiloop feedback control
    • M. Yanagisawa and M. R. James, "Atom-laser coherence via multiloop feedback control," Phys. Rev. A, vol. 79, p. 023620, 2009.
    • (2009) Phys. Rev. A , vol.79 , pp. 023620
    • Yanagisawa, M.1    James, M.R.2
  • 50
    • 0346594322 scopus 로고    scopus 로고
    • Transfer function approach to quantum control-Part I: Dynamics of quantum feedback systems
    • Dec.
    • M. Yanagisawa and H. Kimura, "Transfer function approach to quantum control-Part I: Dynamics of quantum feedback systems," IEEE Trans. Autom. Control, vol. 48, no. 12, pp. 2107-2120, Dec. 2003.
    • (2003) IEEE Trans. Autom. Control , vol.48 , Issue.12 , pp. 2107-2120
    • Yanagisawa, M.1    Kimura, H.2
  • 51
    • 3543077378 scopus 로고
    • Quantum trajectory theory for cascaded open systems
    • H. J. Carmichael, "Quantum trajectory theory for cascaded open systems," Phys. Rev. Lett., vol. 70, p. 2273, 1993.
    • (1993) Phys. Rev. Lett. , vol.70 , pp. 2273
    • Carmichael, H.J.1
  • 53
    • 0034224703 scopus 로고    scopus 로고
    • Quantum feedback control and classical control theory
    • A. C. Doherty, S. Habib, K. Jacobs, H. Mabuchi, and S. M. Tan, "Quantum feedback control and classical control theory," Phys. Rev. A, vol. 62, p. 012105, 2000.
    • (2000) Phys. Rev. A , vol.62 , pp. 012105
    • Doherty, A.C.1    Habib, S.2    Jacobs, K.3    Mabuchi, H.4    Tan, S.M.5
  • 54
    • 0000043309 scopus 로고
    • Driving a quantum system with the output field from another driven quantum system
    • C. W. Gardiner, "Driving a quantum system with the output field from another driven quantum system," Phys. Rev. Lett., vol. 70, p. 2269, 1993.
    • (1993) Phys. Rev. Lett. , vol.70 , pp. 2269
    • Gardiner, C.W.1
  • 55
    • 18244371074 scopus 로고    scopus 로고
    • Optimal unravellings for feedback control in linear quantum systems
    • H. M.Wiseman and A. C. Doherty, "Optimal unravellings for feedback control in linear quantum systems," Phys. Rev. Lett., vol. 94, p. 070405, 2005.
    • (2005) Phys. Rev. Lett. , vol.94 , pp. 070405
    • Wiseman, H.M.1    Doherty, A.C.2
  • 57
    • 0000103660 scopus 로고
    • Quantum network theory
    • B. Yurke and J. S. Denker, "Quantum network theory," Phys. Rev. A, vol. 29, pp. 1419-1437, 1984.
    • (1984) Phys. Rev. A , vol.29 , pp. 1419-1437
    • Yurke, B.1    Denker, J.S.2


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