An updated list of publications can be found on Arxiv.org
A. Acharya, T. Kypraios, M. Guta
A comparative study of estimation methods in quantum tomography
arXiv:0901.07991
M. Guta, J. Kahn, R. Kueng, J. A. Tropp
Fast state tomography with optimal error bounds
arXiv:0809.11162
J. P. Garrahan, M. Guta
Catching and reversing quantum jumps and thermodynamics of quantum trajectories
Phys. Rev. A 98, 052137 (2018)
arXiv:1808.00726
C. Butucea, M. Guta, M. Nussbaum
Local asymptotic equivalence of pure states ensembles and quantum Gaussian white noise
Annals of Statistics 46 3676-3706 (2018).
arXiv:1705.03445
A. Acharya, M. Guta
Minimax estimation of qubit states with Bures risk
Journal of Physics A: Mathematical and Theoretical, 51 175307 (2018)
arXiv:1708.04941
M. Levitt, M. Guta, H. I. Nurdin
Power Spectrum Identification for Quantum Linear Systems
Automatica 90 255-262 (2018)
arXiv:1612.02681
A. Acharya, M. Guta
Statistical analysis of compressive low rank tomography with random measurements
Journal of Physics A: Mathematical and Theoretical, 50 195301 (2017)
arXiv:1609.03758
M. Levitt, M. Guta
Identification of SISO quantum linear systems
Phys. Rev A 95 033825 (2017)
arXiv:1608.01227
M. Guta, J. Kiukas
Information geometry and local asymptotic normality for multi-parameter estimation of quantum Markov dynamics
Journal of Mathematical Physics 58, 052201 (2017)
arXiv:1601.04355
K. Macieszczak, M. Guta, I. Lesanovsky, J. P. Garrahan
Towards a theory of metastability in open quantum dynamics
Phys. Rev. Lett. 116, 240404 (2016)
arXiv:1512.05801
A. Acharya, T. Kypraios, M. Guta
Statistically efficient tomography of low rank states with incomplete measurements
New Journal of Physics, 18 043018 (2016)
Arxiv:1510.03229
K. Macieszczak, M. Guta, I. Lesanovsky, J. P. Garrahan
Dynamical phase transitions as a resource for quantum enhanced metrology
Phys. Rev. A, 93, 022103 (2016)
Arxiv:1411.3914
Cristina Butucea, Madalin Guta, Theodore Kypraios
Spectral thresholding quantum tomography for low rank states
New Journal of Physics, 17 113050 (2015)
Arxiv:1504.08295
Jukka Kiukas, Madalin Guta Igor Lesanovsky, Juan P. Garrahan
Equivalence of matrix product ensembles of trajectories in open quantum systems
Phys. Rev. E 92, 012132 (2015)
Arxiv:1503.05716
M. Guta, J. Kiukas
Equivalence classes and local asymptotic normality in system identification for quantum Markov chains
Commun. Math. Phys. 335, 1397-1428 (2015)
Arxiv:1402.3535
G. Sentis, M. Guta and G. Adesso
Quantum learning of coherent states
EPJ Quantum Technology, 2:17 (2015)
Arxiv:1410.8700
C. Catana, L. Bouten and M. Guta
Fisher informations and local asymptotic normality for continuous-time quantum Markov processes
J. Phys. A, 48, 365301 (2015)
Arxiv:1407.5131
M. van Horssen and M. Guta
Sanov and Central Limit Theorems for output statistics of quantum Markov chains
J. Math. Phys. 56, 022109 (2015)
Arxiv:1407.5082
C. Catana and M. Guta
Heisenberg versus standard scaling in quantum metrology with Markov generated states and monitored environment
Phys. Rev. A 90, 012330 (2014)
Arxiv:1403.0116
C. Catana, M. Guta, T. Kypraios
Maximum likelihood versus likelihood-free quantum system identification in the atom maser
J. Phys. A: Math. Theor. 47 (2014)
Arxiv:1311.4091
M. Guta and N. Yamamoto
System identification for passive quantum linear systems
IEEE Transactions on Control, 61, 921 - 936 (2016)
arXiv:1303.3771v2
M. Guta and N. Yamamoto
System identification for passive quantum linear systems: the transfer function approach
Short version of the archive paper appeared in Proc. 52 IEEE CDC Conference Florence 2013
arXiv:1303.3771v2
I. Lesanovsky, M. van Horssen, M. Guta, J. P. Garrahan
Characterization of dynamical phase transitions in quantum jump trajectories beyond the properties of the stationary state
Phys. Rev. Lett. 110, 150401 (2013)
Arxiv:1211.1918
M. van Horssen and M. Guta
Large deviations and dynamical phase transitions for the atom maser
Arxiv: 1206.4956
P Bowles, M. Guta and G. Adesso
Asymptotically optimal channel reversal for qudit ensembles and multimode Gaussian states
New Journal of Physics, 14 113041 (2012)
Arxiv: 1208.3569
R. Demkowicz-Dobrzanski, J. Kolodynski and M. Guta,
The elusive Heisenberg limit in quantum-enhanced metrology,
Nature Communications, 3, 1063 (2012)
Arxiv: 1201.3940
C. Catana, M. van Horssen and M. Guta
Asymptotic inference in system identification for the atom maser
Philosophical Transactions of the Royal Society A 370, 5308-5323 (2012)
Arxiv:1112.2080
M. Guta, T. Kypraios and I. Dryden
Rank based model selection for multiple ions quantum tomography
New Journal of Physics, 14, 105002 (2012)
Arxiv: 1206.4032
R.D. Gill and M. Guta
On Asymptotic Quantum Statistical Inference
“From probability to statistics and back: high- dimensional models and processes'',
Institute of Mathematical Statistics Collections, 9, 105-127 (2012)
Arxiv:1112.2078
M. Guta
Quantum information Fisher information and asymptotic normality in system identification for quantum Markov chains
Physical Review A, 83, 062324 (2011)
Arxiv:1007.0434
P. Bowles, M. Guta and G. Adesso
Asymptotically optimal purification and dilution of mixed qubit and Gaussian states
Physical Review A, 84, 022320 (2011)
Arxiv:1102.2341
J. E. Gough, M. Guta, M. R. James, H. I. Nurdin
Quantum Filtering for Systems Driven by Fermion Fields
Communications in Information and Systems, 11, 237-268 (2011)
Arxiv:1011.3900
M. Guta and W. Kotlowski
Quantum learning: optimal classification of qubit states
New Journal of Physics, 12, 123032 (2010)
Arxiv:1004.2468
M. Guta, P. Bowles and G. Adesso
Quantum teleportation benchmarks for independent and identically-distributed spin states and displaced thermal states
Physical Review A, 82, 042310 (2010)
Arxiv:1004.1843
M. Guta and C. Butucea
Quantum U-statistics
Journal of Mathematical Physics, 51, 102202 (2010).
Arxiv:1004.2452
J. Kahn and M. Guta
Local asymptotic normality for finite dimensional quantum systems
Communications in Mathematical Physics, 289, 597-652 (2009)
quanth-ph/0804.3876
M. Guta and J. Kahn
Local asymptotic normality and optimal estimation for d-dimensional quantum systems
“Quantum Stochastics and Information: statistics, filtering and control”
V.P. Belavkin and M. Guta (editors), World Scientific (2008).
M. Guta, B. Janssens and J.Kahn
Optimal estimation of qubit states with continuous time measurements
Communications in Mathematical Physics, 277, 127-160 (2008)
quanth-ph/0608074
M. Guta and A. Jencova
Local asymptotic normality in quantum statistics
Communications in Mathematical Physics, 276, 341-379 (2007)
quanth-ph/0606213
M. Guta and L. Artiles
Minimax estimation of the Wigner function in Quantum Homodyne Tomography with ideal detectors
Mathematical Methods of Statistics, 16, 1-15 (2007)
math.ST/0611117
M. Guta and K. Matsumoto
Optimal cloning of mixed Gaussian states
Physical Review A, 74, 032305 (2006)
quanth-ph/0605161,
C. Butucea, M. Guta and L. Artiles
Minimax and adaptive estimation of the Wigner function in quantum homodyne tomography with noisy data
Annals of Statistics, 35, 465-494 (2007)
math.ST/0504058
M. Guta and J. Kahn
Local asymptotic normality for qubit states
Physical Review A 73, 052108 (2006)
quant-ph/0512075
L.Artiles, M. Guta and R.D. Gill
An invitation to quantum tomography
Journal of the Royal Statistical Society B: Methodology 67, 109-134 (2005)
math.ST/0405595
M. Guta and R.D. Gill
An invitation to quantum tomography (older version of the article above)
quant-ph/0303020
L. Bouten, M. Guta and H. Maassen
Stochastic Schrodinger equations
Journal of Physics A: Mathematics and General 37, 3189-320 (2004)
quant-ph/0309205
M. Guta
Gaussian processes in non-commutative probability theory
Ph.D. thesis, University of Nottingham, April 2002
[ps]
M. Guta and H. Maassen
Symmetric Hilbert spaces arising from species of structures
Mathematische Zeitschrift 239, 477-513 (2002)
math-ph/0007005
M. Guta and H. Maassen
Generalised Brownian motion and second quantisation
Journal of Functional Analysis 191, 241-275 (2002)
math-ph/0011028
M. Bozejko and M. Guta
Functors of white noise associated to characters of the infinite symmetric group
Communications in Mathematical Physics 229, 209-227 (2002)
M.Guta, The q-product of generalised Brownian motions
QP-PQ: Quantum Probability and White Noise Analysis, 15, 121-134 (2003)
Proceedings, Conference on Quantum Probability and Infinite Dimensional Analysis, Burg 2001
[ps]
A. Acharya, T. Kypraios, M. Guta
A comparative study of estimation methods in quantum tomography
arXiv:0901.07991
M. Guta, J. Kahn, R. Kueng, J. A. Tropp
Fast state tomography with optimal error bounds
arXiv:0809.11162
J. P. Garrahan, M. Guta
Catching and reversing quantum jumps and thermodynamics of quantum trajectories
Phys. Rev. A 98, 052137 (2018)
arXiv:1808.00726
C. Butucea, M. Guta, M. Nussbaum
Local asymptotic equivalence of pure states ensembles and quantum Gaussian white noise
Annals of Statistics 46 3676-3706 (2018).
arXiv:1705.03445
A. Acharya, M. Guta
Minimax estimation of qubit states with Bures risk
Journal of Physics A: Mathematical and Theoretical, 51 175307 (2018)
arXiv:1708.04941
M. Levitt, M. Guta, H. I. Nurdin
Power Spectrum Identification for Quantum Linear Systems
Automatica 90 255-262 (2018)
arXiv:1612.02681
A. Acharya, M. Guta
Statistical analysis of compressive low rank tomography with random measurements
Journal of Physics A: Mathematical and Theoretical, 50 195301 (2017)
arXiv:1609.03758
M. Levitt, M. Guta
Identification of SISO quantum linear systems
Phys. Rev A 95 033825 (2017)
arXiv:1608.01227
M. Guta, J. Kiukas
Information geometry and local asymptotic normality for multi-parameter estimation of quantum Markov dynamics
Journal of Mathematical Physics 58, 052201 (2017)
arXiv:1601.04355
K. Macieszczak, M. Guta, I. Lesanovsky, J. P. Garrahan
Towards a theory of metastability in open quantum dynamics
Phys. Rev. Lett. 116, 240404 (2016)
arXiv:1512.05801
A. Acharya, T. Kypraios, M. Guta
Statistically efficient tomography of low rank states with incomplete measurements
New Journal of Physics, 18 043018 (2016)
Arxiv:1510.03229
K. Macieszczak, M. Guta, I. Lesanovsky, J. P. Garrahan
Dynamical phase transitions as a resource for quantum enhanced metrology
Phys. Rev. A, 93, 022103 (2016)
Arxiv:1411.3914
Cristina Butucea, Madalin Guta, Theodore Kypraios
Spectral thresholding quantum tomography for low rank states
New Journal of Physics, 17 113050 (2015)
Arxiv:1504.08295
Jukka Kiukas, Madalin Guta Igor Lesanovsky, Juan P. Garrahan
Equivalence of matrix product ensembles of trajectories in open quantum systems
Phys. Rev. E 92, 012132 (2015)
Arxiv:1503.05716
M. Guta, J. Kiukas
Equivalence classes and local asymptotic normality in system identification for quantum Markov chains
Commun. Math. Phys. 335, 1397-1428 (2015)
Arxiv:1402.3535
G. Sentis, M. Guta and G. Adesso
Quantum learning of coherent states
EPJ Quantum Technology, 2:17 (2015)
Arxiv:1410.8700
C. Catana, L. Bouten and M. Guta
Fisher informations and local asymptotic normality for continuous-time quantum Markov processes
J. Phys. A, 48, 365301 (2015)
Arxiv:1407.5131
M. van Horssen and M. Guta
Sanov and Central Limit Theorems for output statistics of quantum Markov chains
J. Math. Phys. 56, 022109 (2015)
Arxiv:1407.5082
C. Catana and M. Guta
Heisenberg versus standard scaling in quantum metrology with Markov generated states and monitored environment
Phys. Rev. A 90, 012330 (2014)
Arxiv:1403.0116
C. Catana, M. Guta, T. Kypraios
Maximum likelihood versus likelihood-free quantum system identification in the atom maser
J. Phys. A: Math. Theor. 47 (2014)
Arxiv:1311.4091
M. Guta and N. Yamamoto
System identification for passive quantum linear systems
IEEE Transactions on Control, 61, 921 - 936 (2016)
arXiv:1303.3771v2
M. Guta and N. Yamamoto
System identification for passive quantum linear systems: the transfer function approach
Short version of the archive paper appeared in Proc. 52 IEEE CDC Conference Florence 2013
arXiv:1303.3771v2
I. Lesanovsky, M. van Horssen, M. Guta, J. P. Garrahan
Characterization of dynamical phase transitions in quantum jump trajectories beyond the properties of the stationary state
Phys. Rev. Lett. 110, 150401 (2013)
Arxiv:1211.1918
M. van Horssen and M. Guta
Large deviations and dynamical phase transitions for the atom maser
Arxiv: 1206.4956
P Bowles, M. Guta and G. Adesso
Asymptotically optimal channel reversal for qudit ensembles and multimode Gaussian states
New Journal of Physics, 14 113041 (2012)
Arxiv: 1208.3569
R. Demkowicz-Dobrzanski, J. Kolodynski and M. Guta,
The elusive Heisenberg limit in quantum-enhanced metrology,
Nature Communications, 3, 1063 (2012)
Arxiv: 1201.3940
C. Catana, M. van Horssen and M. Guta
Asymptotic inference in system identification for the atom maser
Philosophical Transactions of the Royal Society A 370, 5308-5323 (2012)
Arxiv:1112.2080
M. Guta, T. Kypraios and I. Dryden
Rank based model selection for multiple ions quantum tomography
New Journal of Physics, 14, 105002 (2012)
Arxiv: 1206.4032
R.D. Gill and M. Guta
On Asymptotic Quantum Statistical Inference
“From probability to statistics and back: high- dimensional models and processes'',
Institute of Mathematical Statistics Collections, 9, 105-127 (2012)
Arxiv:1112.2078
M. Guta
Quantum information Fisher information and asymptotic normality in system identification for quantum Markov chains
Physical Review A, 83, 062324 (2011)
Arxiv:1007.0434
P. Bowles, M. Guta and G. Adesso
Asymptotically optimal purification and dilution of mixed qubit and Gaussian states
Physical Review A, 84, 022320 (2011)
Arxiv:1102.2341
J. E. Gough, M. Guta, M. R. James, H. I. Nurdin
Quantum Filtering for Systems Driven by Fermion Fields
Communications in Information and Systems, 11, 237-268 (2011)
Arxiv:1011.3900
M. Guta and W. Kotlowski
Quantum learning: optimal classification of qubit states
New Journal of Physics, 12, 123032 (2010)
Arxiv:1004.2468
M. Guta, P. Bowles and G. Adesso
Quantum teleportation benchmarks for independent and identically-distributed spin states and displaced thermal states
Physical Review A, 82, 042310 (2010)
Arxiv:1004.1843
M. Guta and C. Butucea
Quantum U-statistics
Journal of Mathematical Physics, 51, 102202 (2010).
Arxiv:1004.2452
J. Kahn and M. Guta
Local asymptotic normality for finite dimensional quantum systems
Communications in Mathematical Physics, 289, 597-652 (2009)
quanth-ph/0804.3876
M. Guta and J. Kahn
Local asymptotic normality and optimal estimation for d-dimensional quantum systems
“Quantum Stochastics and Information: statistics, filtering and control”
V.P. Belavkin and M. Guta (editors), World Scientific (2008).
M. Guta, B. Janssens and J.Kahn
Optimal estimation of qubit states with continuous time measurements
Communications in Mathematical Physics, 277, 127-160 (2008)
quanth-ph/0608074
M. Guta and A. Jencova
Local asymptotic normality in quantum statistics
Communications in Mathematical Physics, 276, 341-379 (2007)
quanth-ph/0606213
M. Guta and L. Artiles
Minimax estimation of the Wigner function in Quantum Homodyne Tomography with ideal detectors
Mathematical Methods of Statistics, 16, 1-15 (2007)
math.ST/0611117
M. Guta and K. Matsumoto
Optimal cloning of mixed Gaussian states
Physical Review A, 74, 032305 (2006)
quanth-ph/0605161,
C. Butucea, M. Guta and L. Artiles
Minimax and adaptive estimation of the Wigner function in quantum homodyne tomography with noisy data
Annals of Statistics, 35, 465-494 (2007)
math.ST/0504058
M. Guta and J. Kahn
Local asymptotic normality for qubit states
Physical Review A 73, 052108 (2006)
quant-ph/0512075
L.Artiles, M. Guta and R.D. Gill
An invitation to quantum tomography
Journal of the Royal Statistical Society B: Methodology 67, 109-134 (2005)
math.ST/0405595
M. Guta and R.D. Gill
An invitation to quantum tomography (older version of the article above)
quant-ph/0303020
L. Bouten, M. Guta and H. Maassen
Stochastic Schrodinger equations
Journal of Physics A: Mathematics and General 37, 3189-320 (2004)
quant-ph/0309205
M. Guta
Gaussian processes in non-commutative probability theory
Ph.D. thesis, University of Nottingham, April 2002
[ps]
M. Guta and H. Maassen
Symmetric Hilbert spaces arising from species of structures
Mathematische Zeitschrift 239, 477-513 (2002)
math-ph/0007005
M. Guta and H. Maassen
Generalised Brownian motion and second quantisation
Journal of Functional Analysis 191, 241-275 (2002)
math-ph/0011028
M. Bozejko and M. Guta
Functors of white noise associated to characters of the infinite symmetric group
Communications in Mathematical Physics 229, 209-227 (2002)
M.Guta, The q-product of generalised Brownian motions
QP-PQ: Quantum Probability and White Noise Analysis, 15, 121-134 (2003)
Proceedings, Conference on Quantum Probability and Infinite Dimensional Analysis, Burg 2001
[ps]