Access the full text.
Sign up today, get DeepDyve free for 14 days.
Fatih Ozaydin (2014)
Phase damping destroys quantum Fisher information of W statesPhysics Letters A, 378
A. Monras, M. Paris (2007)
Optimal quantum estimation of loss in bosonic channels.Physical review letters, 98 16
R. Xu, Yijing Yan (2002)
Theory of open quantum systemsJournal of Chemical Physics, 116
Á. Rivas, S. Huelga, M. Plenio (2014)
Quantum non-Markovianity: characterization, quantification and detectionReports on Progress in Physics, 77
R. Alicki, K. Lendi (1987)
Quantum Dynamical Semigroups and Applications
U. Weiss (1993)
Quantum Dissipative Systems
D. Chru'sci'nski, A. Kossakowski, 'Angel Rivas (2011)
Measures of non-Markovianity: Divisibility versus backflow of informationPhysical Review A, 83
C. Helstrom (1969)
Quantum detection and estimation theoryJournal of Statistical Physics, 1
W. Zhong, Zhe Sun, Jian Ma, Xiaoguang Wang, F. Nori (2012)
Fisher information under decoherence in Bloch representationPhysical Review A, 87
B. Bellomo, R. Franco, S. Maniscalco, G. Compagno (2008)
Entanglement Trapping in Structured EnvironmentsPhysical Review A, 78
M. Sarovar, G. Milburn (2004)
Optimal estimation of one-parameter quantum channelsJournal of Physics A, 39
V. Morozov, S. Mathey, G. Ropke (2011)
Decoherence in an exactly solvable qubit model with initial qubit-environment correlationsPhysical Review A, 85
S. Personick (1971)
Application of quantum estimation theory to analog communication over quantum channelsIEEE Trans. Inf. Theory, 17
G Jaeger (2007)
Quantum Information
A. Holevo, L. Ballentine (1982)
Probabilistic and Statistical Aspects of Quantum Theory
MA Nielsen, IL Chuang (2000)
Quantum Computation and Quantum Information
SD Personik (1971)
Application of quantum estimation theory to analog communication over quantum channelsTrans. IEEE, IT–17
Jian Ma, Yixiao Huang, Xiaoguang Wang, Chang-pu Sun (2011)
Quantum Fisher information of the Greenberger-Horne-Zeilinger state in decoherence channelsPhysical Review A, 84
S. Schirmer, F. Langbein (2009)
Quantum system identification: Hamiltonian estimation using spectral and Bayesian analysis2010 4th International Symposium on Communications, Control and Signal Processing (ISCCSP)
V. Ignatyuk, V. Morozov (2015)
Enhancement of coherence in qubits due to interaction with the environmentPhysical Review A, 91
B. Vacchini, A. Smirne, Elsi-Mari Laine, J. Piilo, H. Breuer (2011)
Markovianity and non-Markovianity in quantum and classical systemsNew Journal of Physics, 13
S. Schirmer, D. Oi (2009)
Two-qubit Hamiltonian tomography by Bayesian analysis of noisy dataPhysical Review A, 80
J. Dajka, J. Luczka (2010)
Distance growth of quantum states due to initial system-environment correlationsPhysical Review A, 82
L. Mazzola, B. Bellomo, R. Franco, G. Compagno (2010)
Connection among entanglement, mixedness, and nonlocality in a dynamical contextPhysical Review A, 81
D Chruściński, A Kossakowski, A Rivas (2011)
Measures of non-Markovianity: divisibility versus backflow of information PhysRev. A, 83
M. Hall, J. Cresser, Li Li, E. Andersson (2010)
Canonical form of master equations and characterization of non-MarkovianityPhysical Review A, 89
L. Pezzè, A. Smerzi (2014)
Quantum theory of phase estimationarXiv: Quantum Physics
J. Dajka, J. Luczka, P. Hānggi (2011)
Distance between quantum states in the presence of initial qubit-environment correlations: A comparative studyPhysical Review A, 84
Thomas Jordan, Anil Shaji, E. Sudarshan (2004)
Dynamics of initially entangled open quantum systemsPhysical Review A, 70
MJW Hall, JD Cresser, L Li, E Andersson (2014)
Canonical form of master equations and characterization of non-Markovianity PhysRev. A, 89
A. Chin, S. Huelga, M. Plenio (2011)
Quantum metrology in non-Markovian environments.Physical review letters, 109 23
N. Wiebe, C. Granade (2015)
Efficient Bayesian Phase Estimation.Physical review letters, 117 1
Zheng-Da Hu, Jicheng Wang, Yixin Zhang, Ye-Qi Zhang (2014)
Dynamics of Nonclassical Correlations with an Initial CorrelationJournal of the Physical Society of Japan, 83
Yu Watanabe, T. Sagawa, Masahito Ueda (2009)
Optimal measurement on noisy quantum systems.Physical review letters, 104 2
K. Berrada (2013)
Non-Markovian effect on the precision of parameter estimationPhysical Review A, 88
César Rodríguez-Rosario, K. Modi, Aik-meng Kuah, Anil Shaji, E. Sudarshan (2007)
Completely positive maps and classical correlationsJournal of Physics A: Mathematical and Theoretical, 41
FAPollock, L. CCéleri, RMSerra, andKModi (2015)
Coherent measurements in quantum metrology
A. Devi, A. Rajagopl, Sudha (2010)
Open-system quantum dynamics with correlated initial states, not completely positive maps, and non-MarkovianityPhysical Review A, 83
M. Ban, S. Kitajima, F. Shibata (2012)
Distance Between Qubit States with Initial System-Environment CorrelationInternational Journal of Theoretical Physics, 51
B. Bellomo, R. Franco, G. Compagno (2007)
Non-markovian effects on the dynamics of entanglement.Physical review letters, 99 16
A Rivas, SF Huelga (2011)
Open Quantum Systems
B. Bylicka, D. Chruściński, S. Maniscalco (2014)
Non-Markovianity and reservoir memory of quantum channels: a quantum information theory perspectiveScientific Reports, 4
C. Kiefer (2010)
Quantum Measurement and ControlClassical and Quantum Gravity, 27
Yu Watanabe (2014)
Quantum Estimation Theory
Elsi-Mari Laine, J. Piilo, H. Breuer (2010)
Measure for the non-Markovianity of quantum processesPhysical Review A, 81
(2014)
Quantummetrology in open systems : dissipativeCram ’ er - Rao bound
Katarzyna Macieszczak, M. Fraas, R. Demkowicz-Dobrzański (2013)
Bayesian quantum frequency estimation in presence of collective dephasingNew Journal of Physics, 16
M. Ban, S. Kitajima, F. Shibata (2011)
Qubit decoherence with an initial correlationPhysics Letters A, 375
O. Barndorff-Nielsen, Richard Gill (1998)
Fisher information in quantum statisticsJournal of Physics A, 33
B. Bellomo, R. Franco, G. Compagno (2007)
Entanglement dynamics of two independent qubits in environments with and without memoryPhysical Review A, 77
Gregg Jaeger (2010)
Entanglement, Information, and the Interpretation of Quantum Mechanics
B. Escher, R. Filho, L. Davidovich (2011)
General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrologyNature Physics, 7
P. Pechukas (1994)
Reduced dynamics need not be completely positive.Physical review letters, 73 8
(2010)
Quantum Fisher information flow and non-Markovian process of open systems
M. Ban (2015)
Quantum Fisher information of a qubit initially correlated with a non-Markovian environmentQuantum Information Processing, 14
Elsi-Mari Laine, J. Piilo, H. Breuer (2010)
Witness for initial system-environment correlations in open-system dynamicsEPL (Europhysics Letters), 92
R. Vasile, S. Maniscalco, M. Paris, H. Breuer, J. Piilo (2011)
Quantifying non-Markovianity of continuous-variable Gaussian dynamical mapsPhysical Review A, 84
A. Smirne, H. Breuer, J. Piilo, B. Vacchini (2010)
Initial correlations in open-systems dynamics: The Jaynes-Cummings modelPhysical Review A, 82
K. Berrada, S. Abdel-Khalek, A. Obada (2012)
Quantum Fisher information for a qubit system placed inside a dissipative cavityPhysics Letters A, 376
M. Sasaki, M. Ban, Stephen Laboratory, Crest, Japan Science, Technology, A. Laboratory, Hitachi Ltd, U. Strathclyde (2002)
Optimal parameter estimation of a depolarizing channelPhysical Review A, 66
(2010)
Quantum Estimation Theory. Lecture Notes in Physics
HP Breuer, F Petruccione (2006)
The Theory of Open Quantum Systems
H. Breuer, Elsi-Mari Laine, J. Piilo (2009)
Measure for the degree of non-markovian behavior of quantum processes in open systems.Physical review letters, 103 21
S. Luo, Shuangshuang Fu, Hongting Song (2012)
Quantifying non-Markovianity via correlationsPhysical Review A, 86
S. Schirmer, D. Oi (2009)
Quantum system identification by Bayesian analysis of noisy data: Beyond Hamiltonian tomographyLaser Physics, 20
S. Braunstein, C. Caves (1994)
Statistical distance and the geometry of quantum states.Physical review letters, 72 22
The Bayes cost of parameter estimation is studied for a quantum system which is influenced by an external environment, where the cost function is assumed to be a quadratic function of a difference between true and estimated values. When the reduced time evolution of a quantum system is determined by the time-dependent Lindblad equation, it is found how the Bayes cost changes with time. The Bayes cost increases monotonously with time for the Markovian environment, while it shows an oscillatory behavior for the non-Markovian environment due to the memory effect. Furthermore, in order to investigate how initial correlation between quantum system and environment, an analytic expression of the Bayes cost is derived for a qubit-oscillator system. It is found for both Markovian and non-Markovian environments that the Bayes cost can take a value smaller than the initial one in the presence of the initial correlation. The decrease in the Bayes cost is due to the backflow of information that is included in the initially correlated part.
Quantum Information Processing – Springer Journals
Published: Feb 20, 2016
Access the full text.
Sign up today, get DeepDyve free for 14 days.