Access the full text.
Sign up today, get DeepDyve free for 14 days.
GM D’Ariano, L Maccone, MGA Paris (2001)
Quorum of observables for universal quantum estimationJ. Phys. A Math. Gen., 34
MF Sacchi (2001)
Maximum-likelihood reconstruction of completely positive mapsPhys. Rev. A, 63
R Alicki, K Lendi (1987)
Quantum Dynamical Semigroups and Applications
MD Choi (1975)
Completely positive linear maps on complex matricesLinear Algebra Appl., 10
S Boyd, L Vandenberghe (2004)
Convex Optimization
R Handel, JK Stockton, H Mabuchi (2005)
Feedback control of quantum state reductionIEEE Trans. Autom. Control, 50
I Bongioanni, L Sansoni, F Sciarrino, G Vallone (2010)
Experimental quantum process tomography of non-trace-preserving mapsPhys. Rev. A, 82
RA Horn, CR Johnson (1990)
Matrix Analysis
M Ziman, M Plesch, V Bužek, P Štelmachovič (2005)
Process reconstruction: From unphysical to physical maps via maximum likelihoodPhys. Rev. A, 72
C Altafini (2007)
Feedback stabilization of isospectral control systems on complex flag manifolds: application to quantum ensemblesIEEE Trans. Autom. Control, 11
D D’Alessandro (2007)
Introduction to Quantum Control and Dynamics. Applied Mathematics & Nonlinear Science
D D’Alessandro, M Dahleh (2001)
Optimal control of two level quantum systemIEEE Trans. Autom. Control, 46
MA Nielsen, IL Chuang (2002)
Quantum Computation and Information
TM Cover, JA Thomas (1991)
Elements of Information Theory
AJ Scott (2008)
Optimizing quantum process tomography with unitary 2-designsJ. Phys. A Math. Theor., 41
A. Bisio, G. Chiribella, G.M. D’Ariano, S. Facchini, P. Perinotti (2009)
Optimal quantum tomography of states, measurements, and transformationsPhys. Rev. Lett., 102
D Petz (2008)
Quantum Information Theory and Quantum Statistics
N Boulant, TF Havel, MA Pravia, DG Cory (2003)
Robust method for estimating the Lindblad operators of a dissipative quantum process from measurements of the density operator at multiple time pointsPhys. Rev. A, 67
M James, H Nurdin, I Petersen (2008)
$${H}^{\infty }$$ H ∞ control of linear quantum stochastic systemsIEEE Trans. Autom. Control, 53
C Altafini, F Ticozzi (2012)
Modeling and control of quantum systems: an introductionIEEE Trans. Autom. Control, 57
M Dahleh, A Pierce, H Rabitz, A Pierce (1996)
Control of molecular motionProc. IEEE, 84
H Nurdin, M James, I Petersen (2009)
Coherent quantum LQG controlAutomatica, 45
DFV James, PG Kwiat, WJ Munro, AG White (2001)
Measurement of qubitsPhys. Rev. A, 64
G Benenti, G Strini (2009)
Simple representation of quantum process tomographyPhys. Rev. A, 80
(2000)
The Physics of Quantum Information: Quantum Cryptography, Quantum Teleportation, Quantum Computation
J. R̆ehác̆ek, B.G. Englert, D. Kaszlikowski (2004)
Minimal qubit tomographyPhys. Rev. A, 70
(2004)
Quantum States Estimation, Lecture Notes Physics
A Doherty, J Doyle, H Mabuchi, K Jacobs, S Habib (2000)
Robust control in the quantum domainProc. IEEE Conf. Decis. Control, 1
VP Belavkin (1983)
Towards the theory of control in observable quantum systemsAutom. Remote Control, 44
K Kraus (1983)
States, Effects, and Operations: Fundamental Notions of Quantum Theory. Lecture notes in Physics
A Aiello, G Puentes, D Voigt, JP Woerdman (2006)
Maximum-likelihood estimation of Mueller matricesOpt. Lett., 31
J Fiurášek, Z Hradil (2001)
Maximum-likelihood estimation of quantum processesPhys. Rev. A, 63
P Kosmol (1991)
Optimierung und Approximation
F Ticozzi, L Viola (2009)
Analysis and synthesis of attractive quantum Markovian dynamicsAutomatica, 45
P Busch (1991)
Informationally complete sets of physical quantitiesInt. J. Theor. Phys., 30
A Holevo (2001)
Statistical Structure of Quantum Theory. Lecture Notes in Physics; Monographs
HM Wiseman, GJ Milburn (2009)
Quantum Measurement and Control
M Ziman (2008)
Incomplete quantum process tomography and principle of maximal entropyPhys. Rev. A, 78
GM D’Ariano, P Lo Presti (2001)
Quantum tomography for measuring experimentally the matrix elements of an arbitrary quantum operationPhys. Rev. Lett., 86
M. Mohseni, A.T. Rezakhani, D.A. Lidar (2008)
Quantum-process tomography: resource analysis of different strategiesPhys. Rev. A, 77
P Casazza (2000)
The art of frame theoryTaiwan. J. Math., 4
N Khaneja, R Brockett, S Glaser (2001)
Time optimal control of spin systemsPhys. Rev. A, 63
We characterize and discuss the identifiability condition for quantum process tomography, as well as the minimal experimental resources that ensure a unique solution in the estimation of quantum channels, with both direct and convex optimization methods. A convenient parametrization of the constrained set is used to develop a globally converging Newton-type algorithm that ensures a physically admissible solution to the problem. Numerical simulation is provided to support the results and indicate that the minimal experimental setting is sufficient to guarantee good estimates.
Quantum Information Processing – Springer Journals
Published: Nov 23, 2013
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.