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Volumn 54, Issue 1, 2009, Pages 92-107

Quantum risk-sensitive estimation and robustness

Author keywords

Quantum filtering; Quantum probability; Quantum systems; Risk sensitive estimation; Robustness

Indexed keywords

QUANTUM ELECTRONICS; QUANTUM OPTICS; QUANTUM THEORY; RISK PERCEPTION; RISKS;

EID: 59649090736     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2008.2009571     Document Type: Article
Times cited : (70)

References (48)
  • 1
    • 0036542134 scopus 로고    scopus 로고
    • Continuous quantum error correction via quantum feedback control
    • C. Ahn, A. C. Doherty, and A. J. Landahl, "Continuous quantum error correction via quantum feedback control," Phys. Rev. A, vol. 65, p. 04-2301, 2002.
    • (2002) Phys. Rev. A , vol.65 , pp. 04-2301
    • Ahn, C.1    Doherty, A.C.2    Landahl, A.J.3
  • 2
    • 17444393732 scopus 로고    scopus 로고
    • Approximating the Fock space with the toy Fock space
    • Berlin, Germany: Springer
    • S. Attal, "Approximating the Fock space with the toy Fock space," in Seminaire de Probabilites, XXXVI. Berlin, Germany: Springer, 2003, vol. 1801, pp. 477-491.
    • (2003) Seminaire de Probabilites, XXXVI , vol.1801 , pp. 477-491
    • Attal, S.1
  • 3
    • 33644882745 scopus 로고    scopus 로고
    • From repeated to continuous quantum interactions
    • S. Attal and Y. Pautrat, "From repeated to continuous quantum interactions," Ann. Henri Poincare, vol. 7, pp. 59-104, 2006.
    • (2006) Ann. Henri Poincare , vol.7 , pp. 59-104
    • Attal, S.1    Pautrat, Y.2
  • 4
    • 0001427375 scopus 로고
    • Quantum filtering of markov signals with white quantum noise
    • V. P. Belavkin, "Quantum filtering of markov signals with white quantum noise," Radiotechnika i Electronika, vol. 25, pp. 1445-1453, 1980.
    • (1980) Radiotechnika i Electronika , vol.25 , pp. 1445-1453
    • Belavkin, V.P.1
  • 5
    • 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, pp. 171-201, 1992.
    • (1992) J. Multivariate Anal , vol.42 , pp. 171-201
    • Belavkin, V.P.1
  • 6
    • 0001514387 scopus 로고
    • Nondemolition measurements, nonlinear filtering, and dynamic programming of quantum stochastic processes
    • Proc. Bellman Continuum, Sophia-Antipolis, New York: Springer-Verlag
    • V. P. Belavkin, "Nondemolition measurements, nonlinear filtering, and dynamic programming of quantum stochastic processes," in Proc. Bellman Continuum, Sophia-Antipolis, ser. Lecture Notes in Control and Information Sciences. New York: Springer-Verlag, 1988, vol. 121, pp. 245-265.
    • (1988) ser. Lecture Notes in Control and Information Sciences , vol.121 , pp. 245-265
    • Belavkin, V.P.1
  • 7
    • 0036493687 scopus 로고    scopus 로고
    • Robustness and risk-sensitive filtering
    • Mar
    • R. K. Boel, M. R. James, and I. R. Petersen, "Robustness and risk-sensitive filtering," IEEE Trans. Automat. Control, vol. 47, no. 3, pp. 451-461, Mar. 2002.
    • (2002) IEEE Trans. Automat. Control , vol.47 , Issue.3 , pp. 451-461
    • Boel, R.K.1    James, M.R.2    Petersen, I.R.3
  • 8
    • 1642393418 scopus 로고    scopus 로고
    • Stochastic Schrodinger equations
    • L. M. Bouten, M. I. Guta, and H. Maassen, "Stochastic Schrodinger equations," J. Phys. A, vol. 37, pp. 3189-3209, 2004.
    • (2004) J. Phys. A , vol.37 , pp. 3189-3209
    • Bouten, L.M.1    Guta, M.I.2    Maassen, H.3
  • 9
    • 65649109298 scopus 로고    scopus 로고
    • A Discrete Invitation to Quantum Filtering and Feedback Control
    • to be published
    • L. M. Bouten, R. Van Handel, and M. R. James, "A Discrete Invitation to Quantum Filtering and Feedback Control," SIAM Rev., to be published.
    • SIAM Rev
    • Bouten, L.M.1    Van Handel, R.2    James, M.R.3
  • 11
    • 23044532857 scopus 로고    scopus 로고
    • A simple model of quantum trajectories
    • T. D. Brun, "A simple model of quantum trajectories," Amer. J. Phys., vol. 70, pp. 719-737, 2002.
    • (2002) Amer. J. Phys , vol.70 , pp. 719-737
    • Brun, T.D.1
  • 13
    • 0032187370 scopus 로고    scopus 로고
    • New finite-dimensional risk-sensitive filters: Small noise limits
    • Oct
    • C. D. Charalambous, S. Dey, and R. J. Elliott, "New finite-dimensional risk-sensitive filters: Small noise limits," IEEE Trans. Automat. Control, vol. 43, no. 10, pp. 1424-1429, Oct. 1998.
    • (1998) IEEE Trans. Automat. Control , vol.43 , Issue.10 , pp. 1424-1429
    • Charalambous, C.D.1    Dey, S.2    Elliott, R.J.3
  • 15
    • 0031272804 scopus 로고    scopus 로고
    • Risk-sensitive filtering and smoothing via reference probability methods
    • Nov
    • S. Dey and J. B. Moore, "Risk-sensitive filtering and smoothing via reference probability methods," IEEE Trans. Automat. Control, vol. 42, no. 11, pp. 1587-1591, Nov. 1997.
    • (1997) IEEE Trans. Automat. Control , vol.42 , Issue.11 , pp. 1587-1591
    • Dey, S.1    Moore, J.B.2
  • 16
    • 0342318866 scopus 로고    scopus 로고
    • Feedback control of quantum systems using continuous state-estimation
    • A. C. Doherty and K. Jacobs, "Feedback control of quantum systems using continuous state-estimation," Phys. Rev. A, vol. 60, p. 2700, 1999.
    • (1999) Phys. Rev. A , vol.60 , pp. 2700
    • Doherty, A.C.1    Jacobs, K.2
  • 19
    • 0000313233 scopus 로고
    • Lower bounds for the helmholtz function
    • S. Golden, "Lower bounds for the helmholtz function," Phys. Rev. vol. 137, pp. B1127-B1128, 1965.
    • (1965) Phys. Rev , vol.137
    • Golden, S.1
  • 20
    • 8644231753 scopus 로고    scopus 로고
    • Stochastic schrodinger equations as limit of discrete filtering
    • J. Gough and Sobolev, "Stochastic schrodinger equations as limit of discrete filtering," Open Syst. Inf. Dyn., vol. 11, pp. 235-255, 2004.
    • (2004) Open Syst. Inf. Dyn , vol.11 , pp. 235-255
    • Gough, J.1    Sobolev2
  • 21
    • 21344462807 scopus 로고    scopus 로고
    • Feedback control of quantum state reduction
    • Jun
    • R. V. Handel, J. K. Stockton, and H. Mabuchi, "Feedback control of quantum state reduction," IEEE Trans. Automat. Control, vol. 50, no. 6, pp. 768-780, Jun. 2005.
    • (2005) IEEE Trans. Automat. Control , vol.50 , Issue.6 , pp. 768-780
    • Handel, R.V.1    Stockton, J.K.2    Mabuchi, H.3
  • 23
    • 0001214859 scopus 로고
    • Quantum Ito's formula and stochastic evolution
    • R. L. Hudson and K. R. Parthasarathy, "Quantum Ito's formula and stochastic evolution," Commun. Math. Phys., vol. 93, pp. 301-301, 1984.
    • (1984) Commun. Math. Phys , vol.93 , pp. 301-301
    • Hudson, R.L.1    Parthasarathy, K.R.2
  • 24
    • 25644439873 scopus 로고    scopus 로고
    • A quantum langevin formulation of risk-sensitive optimal control
    • M. R. James, "A quantum langevin formulation of risk-sensitive optimal control," J. Opt. B: Quantum Semiclass. Opt., vol. 7, p. 198, 2005.
    • (2005) J. Opt. B: Quantum Semiclass. Opt , vol.7 , pp. 198
    • James, M.R.1
  • 25
    • 0028416983 scopus 로고
    • Risk-sensitive control and dynamic games for partially observed discrete-time nonlinear systems
    • Apr
    • M. R. James, J. S. Baras, and R. J. Elliott, "Risk-sensitive control and dynamic games for partially observed discrete-time nonlinear systems," IEEE Trans. Automat. Control, vol. 39, no. 4, pp. 780-792, Apr. 1994.
    • (1994) IEEE Trans. Automat. Control , vol.39 , Issue.4 , pp. 780-792
    • James, M.R.1    Baras, J.S.2    Elliott, R.J.3
  • 27
    • 0001498426 scopus 로고
    • Estimation of stochastic systems: Arbitrary system process with additive white noise observation errors
    • G. Kallianpur and C. Striebel, "Estimation of stochastic systems: Arbitrary system process with additive white noise observation errors," Annu. Math. Statist., vol. 39, pp. 785-801, 1968.
    • (1968) Annu. Math. Statist , vol.39 , pp. 785-801
    • Kallianpur, G.1    Striebel, C.2
  • 28
    • 85024429815 scopus 로고
    • A new approach to linear filtering and prediction problems
    • R. E. Kalman, "A new approach to linear filtering and prediction problems," Trans. ASME, Ser. D, J. Basic Eng., vol. 82, pp. 35-45, 1960.
    • (1960) Trans. ASME, Ser. D, J. Basic Eng , vol.82 , pp. 35-45
    • Kalman, R.E.1
  • 29
    • 33746292669 scopus 로고
    • Differential equations for optimal nonlinear filtering
    • H. J. Kushner, "Differential equations for optimal nonlinear filtering," J. Differential Equations, vol. 3, pp. 179-190, 1967.
    • (1967) J. Differential Equations , vol.3 , pp. 179-190
    • Kushner, H.J.1
  • 30
    • 3242683406 scopus 로고
    • The passage from random walk to diffusion in quantum probability ii
    • J. M. Lindsay and K. R. Parthasarathy, "The passage from random walk to diffusion in quantum probability ii," Sankhya Ser. A, vol. 50, pp. 151-170, 1988.
    • (1988) Sankhya Ser. A , vol.50 , pp. 151-170
    • Lindsay, J.M.1    Parthasarathy, K.R.2
  • 31
    • 34548854458 scopus 로고    scopus 로고
    • Stabilizing feedback controls for quantum systems
    • M. Mirrahimi and R. V. Handel, "Stabilizing feedback controls for quantum systems," SIAM J. Control Optim., vol. 46, pp. 445-467, 2007.
    • (2007) SIAM J. Control Optim , vol.46 , pp. 445-467
    • Mirrahimi, M.1    Handel, R.V.2
  • 32
    • 0030777030 scopus 로고    scopus 로고
    • Risk-sensitive generalization of minimum variance estimation and control
    • J. B. Moore, R. J. Elliott, and S. Dey, "Risk-sensitive generalization of minimum variance estimation and control," J. Math. Syst., Estim., Control, vol. 7, pp. 1-15, 1997.
    • (1997) J. Math. Syst., Estim., Control , vol.7 , pp. 1-15
    • Moore, J.B.1    Elliott, R.J.2    Dey, S.3
  • 35
    • 59649110822 scopus 로고    scopus 로고
    • ° - Algebras. Berlin, Gremany: Springer-Verlag, 1998.
    • ° - Algebras. Berlin, Gremany: Springer-Verlag, 1998.
  • 38
    • 52449129612 scopus 로고    scopus 로고
    • Continuous Quantum Measurement of Cold Alkali-Atom Spins,
    • Ph.D. dissertation, California Institute of Technology, Pasadena
    • J. K. Stockton, "Continuous Quantum Measurement of Cold Alkali-Atom Spins," Ph.D. dissertation, California Institute of Technology, Pasadena, 2006.
    • (2006)
    • Stockton, J.K.1
  • 39
    • 0001368415 scopus 로고
    • Inequality with applications in statistical mechanics
    • C. J. Thompson, "Inequality with applications in statistical mechanics," J. Math. Phys., vol. 6, pp. 1812-1813, 1965.
    • (1965) J. Math. Phys , vol.6 , pp. 1812-1813
    • Thompson, C.J.1
  • 40
    • 0037079430 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," J. Phys. B, vol. 35, p. 4937, 2002.
    • (2002) J. Phys. B , vol.35 , pp. 4937
    • Thomsen, L.1    Mancini, S.2    Wiseman, H.M.3
  • 41
    • 0001611809 scopus 로고
    • * -algebras
    • * -algebras," in Proc. Jpn. Acad., 1957, vol. 33, pp. 608-612.
    • (1957) Proc. Jpn. Acad , vol.33 , pp. 608-612
    • Tomiyama, J.1
  • 42
    • 0037141558 scopus 로고    scopus 로고
    • Robust filtering of stochastic uncertain systems on an infinite time horizon
    • V. A. Ugrinovskii and I. R. Petersen, "Robust filtering of stochastic uncertain systems on an infinite time horizon," Int. J. Control, vol. 75, pp. 614-626, 2002.
    • (2002) Int. J. Control , vol.75 , pp. 614-626
    • Ugrinovskii, V.A.1    Petersen, I.R.2
  • 43
    • 84972583098 scopus 로고
    • Conditional expectations in an operator algebra
    • H. Umegaki, "Conditional expectations in an operator algebra," Tohoku Math. J., vol. 6, pp. 177-181, 1954.
    • (1954) Tohoku Math. J , vol.6 , pp. 177-181
    • Umegaki, H.1
  • 44
    • 0001042840 scopus 로고
    • On the separation theorem of stochastic control
    • W. M. Wonham, "On the separation theorem of stochastic control," SIAM J. Control Optim., vol. 6, pp. 312-326, 1968.
    • (1968) SIAM J. Control Optim , vol.6 , pp. 312-326
    • Wonham, W.M.1
  • 45
    • 0028375633 scopus 로고
    • Robust Kalman filtering for uncertain systems
    • L. Xie and Y. C. Soh, "Robust Kalman filtering for uncertain systems," Syst. Control Lett., vol. 22, pp. 123-129, 1994.
    • (1994) Syst. Control Lett , vol.22 , pp. 123-129
    • Xie, L.1    Soh, Y.C.2
  • 46
    • 33748975146 scopus 로고    scopus 로고
    • Robust observer for uncertain linear quantum systems
    • N. Yamamoto, "Robust observer for uncertain linear quantum systems," Phys, Rev. A, vol. 74, p. 032107, 2006.
    • (2006) Phys, Rev. A , vol.74 , pp. 032107
    • Yamamoto, N.1
  • 47
    • 34247484349 scopus 로고    scopus 로고
    • Feedback control of quantum entanglement in a two-spin system
    • N. Yamamoto, K. Tsumura, and S. Hara, "Feedback control of quantum entanglement in a two-spin system," Automatica, vol. 43, pp. 981-992, 2007.
    • (2007) Automatica , vol.43 , pp. 981-992
    • Yamamoto, N.1    Tsumura, K.2    Hara, S.3
  • 48
    • 2342636410 scopus 로고    scopus 로고
    • Robust finite horizon minimax filtering for discrete-time stochastic uncertain systems
    • M.-G. Yoon, V. A. Ugrinovskii, and I. R. Petersen, "Robust finite horizon minimax filtering for discrete-time stochastic uncertain systems," Syst. Control Lett., vol. 52, pp. 99-112, 2004.
    • (2004) Syst. Control Lett , vol.52 , pp. 99-112
    • Yoon, M.-G.1    Ugrinovskii, V.A.2    Petersen, I.R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.