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1.
correlated systems
Open Access
Title:
correlated systems
Author:
Hamed Saberi
;
Hamed Saberi
;
Zweitgutachter Prof
;
Dr. Matthias Christ
Hamed Saberi
;
Hamed Saberi
;
Zweitgutachter Prof
;
Dr. Matthias Christ
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Description:
Matrixproduct states for strongly
Matrixproduct states for strongly
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Contributors:
The Pennsylvania State University CiteSeerX Archives
Year of Publication:
20120625
Source:
http://edoc.ub.unimuenchen.de/9755/1/
Saberi
_Hamed.pdf
http://edoc.ub.unimuenchen.de/9755/1/
Saberi
_Hamed.pdf
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Document Type:
text
Language:
en
Rights:
Metadata may be used without restrictions as long as the oai identifier remains attached to it.
Metadata may be used without restrictions as long as the oai identifier remains attached to it.
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URL:
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.233.3934
http://edoc.ub.unimuenchen.de/9755/1/Saberi_Hamed.pdf
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.233.3934
http://edoc.ub.unimuenchen.de/9755/1/Saberi_Hamed.pdf
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2.
Genuine fidelity gaps associated with a sequential decomposition of genuinely entangling isometry and unitary operations
Open Access
Title:
Genuine fidelity gaps associated with a sequential decomposition of genuinely entangling isometry and unitary operations
Author:
Saberi, Hamed
Saberi, Hamed
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Description:
We draw attention to the existence of "genuine" fidelity gaps in an ancillaassisted sequential decomposition of genuinely entangling isometry and unitary operations of quantum computing. The gaps arise upon a bipartite decomposition of a multiqubit operation in a oneway sequential recipe in which an ancillary system interacts locally and only ...
We draw attention to the existence of "genuine" fidelity gaps in an ancillaassisted sequential decomposition of genuinely entangling isometry and unitary operations of quantum computing. The gaps arise upon a bipartite decomposition of a multiqubit operation in a oneway sequential recipe in which an ancillary system interacts locally and only once with each qubit in a row. Given the known "nogo" associated with such a theoretically and experimentally desirable decomposition, various figures of merit are introduced to analyze the optimal "fidelity" with which an arbitrary genuinely entangling operation may admit such a sequential decomposition. An efficient variational matrixproductoperator (VMPO) protocol is invoked in order to obtain numerically the minimal values of the fidelity gaps incurred upon sequential decomposition of genuine entanglers. We term the values of the gaps so obtained genuine in the light of possible connections to the concept of the genuine multipartite entanglement and since they are independent of the ancilla dimension and the initial states the associated unitaries act upon. ; Comment: 7 pages, 4 figures
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Year of Publication:
20130603
Document Type:
text
Subjects:
Quantum Physics ; Condensed Matter  Mesoscale and Nanoscale Physics ; Condensed Matter  Strongly Correlated Electrons
Quantum Physics ; Condensed Matter  Mesoscale and Nanoscale Physics ; Condensed Matter  Strongly Correlated Electrons
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DDC:
511 General principles of mathematics
(computed)
URL:
http://arxiv.org/abs/1306.0430
http://arxiv.org/abs/1306.0430
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ArXiv.org (Cornell University Library)
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3.
Ancillaassisted sequential approximation of nonlocal unitary operations
Open Access
Title:
Ancillaassisted sequential approximation of nonlocal unitary operations
Author:
Saberi, Hamed
Saberi, Hamed
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Description:
We consider the recently proposed "nogo" theorem of Lamata et al [Phys. Rev. Lett. 101, 180506 (2008)] on the impossibility of sequential implementation of global unitary operations with the aid of an itinerant ancillary system and view the claim within the language of Kraus representation. By virtue of an extremely useful tool for analyzing en...
We consider the recently proposed "nogo" theorem of Lamata et al [Phys. Rev. Lett. 101, 180506 (2008)] on the impossibility of sequential implementation of global unitary operations with the aid of an itinerant ancillary system and view the claim within the language of Kraus representation. By virtue of an extremely useful tool for analyzing entanglement properties of quantum operations, namely, operatorSchmidt decomposition, we provide alternative proof to the nogo theorem and also study the role of initial correlations between the qubits and ancilla in sequential preparation of unitary entanglers. Despite the negative response from the nogo theorem, we demonstrate explicitly how the matrixproduct operator(MPO) formalism provides a flexible structure to develop protocols for sequential implementation of such entanglers with an optimal fidelity. The proposed numerical technique, that we call variational matrixproduct operator (VMPO), offers a computationally efficient tool for characterizing the "globalness" and entangling capabilities of nonlocal unitary operations.
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Publisher:
American Physical Society
Year of Publication:
20110916
Document Type:
Artikel ; PeerReviewed
Language:
en
Subjects:
530 Physik
530 Physik
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DDC:
518 Numerical analysis
(computed)
Relations:
http://epub.uniregensburg.de/21833/1/1108.2647v1.pdf ; http://epub.uniregensburg.de/21833/4/PhysRevA.84.032323.pdf ; Saberi, Hamed (2011) Ancillaassisted sequential approximation of nonlocal unitary operations. Phys. Rev. A 84 (3), 032323 .
URL:
http://epub.uniregensburg.de/21833/
http://epub.uniregensburg.de/21833/
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4.
Ancillaassisted sequential approximation of nonlocal unitary operations
Open Access
Title:
Ancillaassisted sequential approximation of nonlocal unitary operations
Author:
Saberi, Hamed
Saberi, Hamed
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Description:
We consider the recently proposed "nogo" theorem of Lamata et al [Phys. Rev. Lett. 101, 180506 (2008)] on the impossibility of sequential implementation of global unitary operations with the aid of an itinerant ancillary system and view the claim within the language of Kraus representation. By virtue of an extremely useful tool for analyzing en...
We consider the recently proposed "nogo" theorem of Lamata et al [Phys. Rev. Lett. 101, 180506 (2008)] on the impossibility of sequential implementation of global unitary operations with the aid of an itinerant ancillary system and view the claim within the language of Kraus representation. By virtue of an extremely useful tool for analyzing entanglement properties of quantum operations, namely, operatorSchmidt decomposition, we provide alternative proof to the "nogo" theorem and also study the role of initial correlations between the qubits and ancilla in sequential preparation of unitary entanglers. Despite the negative response from the "nogo" theorem, we demonstrate explicitly how the matrixproduct operator(MPO) formalism provides a flexible structure to develop protocols for sequential implementation of such entanglers with an optimal fidelity. The proposed numerical technique, that we call variational matrixproduct operator (VMPO), offers a computationally efficient tool for characterizing the "globalness" and entangling capabilities of nonlocal unitary operations. ; Comment: Slightly improved version as published in Phys. Rev. A
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Year of Publication:
20110812
Document Type:
text
Subjects:
Quantum Physics ; Condensed Matter  Mesoscale and Nanoscale Physics ; Condensed Matter  Strongly Correlated Electrons
Quantum Physics ; Condensed Matter  Mesoscale and Nanoscale Physics ; Condensed Matter  Strongly Correlated Electrons
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DDC:
518 Numerical analysis
(computed)
URL:
http://arxiv.org/abs/1108.2647
http://arxiv.org/abs/1108.2647
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ArXiv.org (Cornell University Library)
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5.
Matrixproduct states for strongly correlated systems and quantum information processing
Title:
Matrixproduct states for strongly correlated systems and quantum information processing
Author:
Saberi, Hamed
Saberi, Hamed
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Publisher:
LudwigMaximiliansUniversität München
Year of Publication:
20090123
Document Type:
Dissertation ; NonPeerReviewed
Subjects:
Fakultät für Physik
Fakultät für Physik
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Relations:
http://edoc.ub.unimuenchen.de/9755/
URL:
http://edoc.ub.unimuenchen.de/9755/1/Saberi_Hamed.pdf
http://nbnresolving.de/urn:nbn:de:bvb:1997552
http://edoc.ub.unimuenchen.de/9755/1/Saberi_Hamed.pdf
http://nbnresolving.de/urn:nbn:de:bvb:1997552
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University of Munich: Digital theses
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6.
Sequential quantum cloning under reallife conditions
Open Access
Title:
Sequential quantum cloning under reallife conditions
Author:
Saberi, Hamed
;
Mardoukhi, Yousof
Saberi, Hamed
;
Mardoukhi, Yousof
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Publisher:
American Physical Society
Year of Publication:
20120529
Document Type:
Artikel ; PeerReviewed
Language:
en
Subjects:
530 Physik
530 Physik
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Relations:
http://epub.uniregensburg.de/24693/1/4_PhysRevA.85.052323.pdf ; Saberi, Hamed und Mardoukhi, Yousof (2012) Sequential quantum cloning under reallife conditions. Phys. Rev. A 85, 052323052330.
URL:
http://epub.uniregensburg.de/24693/
http://epub.uniregensburg.de/24693/
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7.
Efficient classical simulation of the GisinMassar quantum cloning machine
Open Access
Title:
Efficient classical simulation of the GisinMassar quantum cloning machine
Author:
Saberi, Hamed
;
Mardoukhi, Yousof
Saberi, Hamed
;
Mardoukhi, Yousof
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Description:
We provide here the technical details of the recently proposed tensornetwork protocol for classical simulation of the GisinMassar quantum cloner by the authors [Phys. Rev. A, 85, 052323 (2012)]. The protocol essentially instructs how to efficiently simulate an optimal quantum cloning machine of GisinMassar on a classical computer. A viable co...
We provide here the technical details of the recently proposed tensornetwork protocol for classical simulation of the GisinMassar quantum cloner by the authors [Phys. Rev. A, 85, 052323 (2012)]. The protocol essentially instructs how to efficiently simulate an optimal quantum cloning machine of GisinMassar on a classical computer. A viable computational platform for generation on demand of arbitrary number of optimal clones with controllable numerical resources is realized by rephrasing the GisinMassar output state in terms of the hierarchy of the socalled matrixproduct states (MPS) and invoking parity features peculiar to such an output.
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Year of Publication:
20130509
Document Type:
text
Subjects:
Quantum Physics ; Condensed Matter  Mesoscale and Nanoscale Physics ; Condensed Matter  Strongly Correlated Electrons
Quantum Physics ; Condensed Matter  Mesoscale and Nanoscale Physics ; Condensed Matter  Strongly Correlated Electrons
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URL:
http://arxiv.org/abs/1305.2087
http://arxiv.org/abs/1305.2087
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ArXiv.org (Cornell University Library)
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8.
Sequential quantum cloning under reallife conditions
Open Access
Title:
Sequential quantum cloning under reallife conditions
Author:
Saberi, Hamed
;
Mardoukhi, Yousof
Saberi, Hamed
;
Mardoukhi, Yousof
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Description:
We consider a sequential implementation of the optimal quantum cloning machine of Gisin and Massar and propose optimization protocols for experimental realization of such a quantum cloner subject to the reallife restrictions. We demonstrate how exploiting the matrixproduct state (MPS) formalism and the ensuing variational optimization techniqu...
We consider a sequential implementation of the optimal quantum cloning machine of Gisin and Massar and propose optimization protocols for experimental realization of such a quantum cloner subject to the reallife restrictions. We demonstrate how exploiting the matrixproduct state (MPS) formalism and the ensuing variational optimization techniques reveals the intriguing algebraic structure of the GisinMassar output of the cloning procedure and brings about significant improvements to the optimality of the sequential cloning prescription of Delgado et al [Phys. Rev. Lett. 98, 150502 (2007)]. Our numerical results show that the orthodox paradigm of optimal quantum cloning can in practice be realized in a much more economical manner by utilizing a considerably lesser amount of informational and numerical resources than hitherto estimated. Instead of the previously predicted linear scaling of the required ancilla dimension D with the number of qubits n, our recipe allows a realization of such a sequential cloning setup with an experimentally manageable ancilla of dimension at most D=3 up to n=15 qubits. We also address satisfactorily the possibility of providing an optimal range of sequential ancillaqubit interactions for optimal cloning of arbitrary states under realistic experimental circumstances when only a restricted class of such bipartite interactions can be engineered in practice. ; Comment: 8 pages, 4 figures
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Year of Publication:
20120411
Document Type:
text
Subjects:
Quantum Physics ; Condensed Matter  Mesoscale and Nanoscale Physics ; Condensed Matter  Strongly Correlated Electrons
Quantum Physics ; Condensed Matter  Mesoscale and Nanoscale Physics ; Condensed Matter  Strongly Correlated Electrons
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URL:
http://arxiv.org/abs/1204.2500
http://arxiv.org/abs/1204.2500
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ArXiv.org (Cornell University Library)
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9.
Matrix product state comparison of the numerical renormalization group and the variational formulation of the density matrix renormalization group
Open Access
Title:
Matrix product state comparison of the numerical renormalization group and the variational formulation of the density matrix renormalization group
Author:
Saberi, Hamed
;
Weichselbaum, Andreas
;
von Delft, Jan
Saberi, Hamed
;
Weichselbaum, Andreas
;
von Delft, Jan
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Description:
Wilson's numerical renormalization group (NRG) method for solving quantum impurity models yields a set of energy eigenstates that have the form of matrix product states (MPS). White's density matrix renormalization group (DMRG) for treating quantum lattice problems can likewise be reformulated in terms of MPS. Thus, the latter constitute a commo...
Wilson's numerical renormalization group (NRG) method for solving quantum impurity models yields a set of energy eigenstates that have the form of matrix product states (MPS). White's density matrix renormalization group (DMRG) for treating quantum lattice problems can likewise be reformulated in terms of MPS. Thus, the latter constitute a common algebraic structure for both approaches. We exploit this fact to compare the NRG approach for the singleimpurity Anderson model to a variational matrix product state approach (VMPS), equivalent to singlesite DMRG. For the latter, we use an ``unfolded'' Wilson chain, which brings about a significant reduction in numerical costs compared to those of NRG. We show that all NRG eigenstates (kept and discarded) can be reproduced using VMPS, and compare the difference in truncation criteria, sharp vs. smooth in energy space, of the two approaches. Finally, we demonstrate that NRG results can be improved upon systematically by performing a variational optimization in the space of variational matrix product states, using the states produced by NRG as input. ; Comment: 19 pages, 14 figures
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Year of Publication:
20080401
Document Type:
text
Subjects:
Condensed Matter  Strongly Correlated Electrons ; Condensed Matter  Mesoscale and Nanoscale Physics
Condensed Matter  Strongly Correlated Electrons ; Condensed Matter  Mesoscale and Nanoscale Physics
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DDC:
539 Modern physics
(computed)
URL:
http://arxiv.org/abs/0804.0193
http://arxiv.org/abs/0804.0193
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10.
Fractional Gaussian noise criterion for correlations characterization: a randommatrixtheory inspired perspective
Open Access
Title:
Fractional Gaussian noise criterion for correlations characterization: a randommatrixtheory inspired perspective
Author:
Jamali, Tayeb
;
Saberi, Hamed
;
Jafari, G. R.
Jamali, Tayeb
;
Saberi, Hamed
;
Jafari, G. R.
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Description:
We introduce a particular construction of an autocorrelation matrix of a time series and its analysis based on the randommatrix theory ideas that is capable of unveiling the type of correlations information which is inaccessible to the straight analysis of the autocorrelation function. Exploiting the wellstudied hierarchy of the fractional Gau...
We introduce a particular construction of an autocorrelation matrix of a time series and its analysis based on the randommatrix theory ideas that is capable of unveiling the type of correlations information which is inaccessible to the straight analysis of the autocorrelation function. Exploiting the wellstudied hierarchy of the fractional Gaussian noise (fGn), an \emph{in situ} criterion for the sake of a quantitative comparison with the autocorrelation data is offered. We illustrate the applicability of our method by two paradigmatic examples from the orthodox context of the stock markets and the turbulence. Quite strikingly, a remarkable agreement with the fGn is achieved notwithstanding the nonGaussianity in returns of the stock market. In the latter context, on the contrary, a significant deviation from an fGn is observed despite a Gaussian distribution of the velocity profile of the turbulence. ; Comment: 9 pages, 10 figures
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Year of Publication:
20130521
Document Type:
text
Subjects:
Physics  Data Analysis ; Statistics and Probability ; Condensed Matter  Statistical Mechanics ; Mathematical Physics
Physics  Data Analysis ; Statistics and Probability ; Condensed Matter  Statistical Mechanics ; Mathematical Physics
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DDC:
519 Probabilities & applied mathematics
(computed)
URL:
http://arxiv.org/abs/1305.4895
http://arxiv.org/abs/1305.4895
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(14) Saberi, Hamed
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(3) Weichselbaum, Andreas
(2) Lamata, Lucas
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