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Advances in physics theories and applications

Holonomic Approach To Quantum Computation, Quantum Dynamical Manifestation Of Chaotic Behavior, Isolated Quantum Many-Body Systems, Random-Matrix Theory Of Quantum Transport, Matrix Models And One-Dimensional Fermions, Entanglement Entropy And Other Edito

K.N.P. Kumar, C.J. Prabhakara, S.K. Narasimha Murthy, Bijjanal Jayanna Gireesha

Published Jan 1, 2013• 0 citations
OpenAlex

Abstract

Critical unhappiness, annoyed Relevance, lists and blocks, explicational opinion, statemental annotation has been made when defining the relation of holonomic computation vis a vis the random matrix theory, notwithstanding the Assortment-blend, collection-combinations, combo-gallimaufry proving to be palatable due to investigations conducted thereof. Because of its geometric nature, holonomic quantum computation is fault tolerant against certain types of control errors. Although proposed more than a decade ago, the experimental realization of holonomic quantum computation is still an open challenge......... The full paper: http://www.iiste.org/PDFshare/APTA-PAGENO-328484-332791.pdf

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K.N.P. Kumar

Recent experiments with increasingly larger numbers of qubits have sparked renewed interest in adiabatic quantum computation, and in particular quantum annealing. A central question that is repeatedly asked is whether quantum features of the evolution can survive over the long time scales used for quantum annealing relative to standard measures of the decoherence time. Authors reconsider the role of decoherence in adiabatic quantum.... The full paper: http://www.iiste.org/PDFshare/APTA-PAGENO-431867-436194.pdf

Advances in physics theories and applications•Jan 1, 2013•0 citations

Geometric and holonomic quantum computation

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Geometric and holonomic quantum computation utilizes intrinsic geometric properties of quantum-mechanical state spaces to realize quantum logic gates. Since both geometric phases and quantum holonomies are global quantities depending only on the evolution paths of quantum systems, quantum gates based on them possess built-in resilience to certain kinds of errors. This review provides an introduction to the topic as well as gives an overview of the theoretical and experimental progress for constructing geometric and holonomic quantum gates and how to combine them with other error-resistant techniques.

arXiv:2110.03602•Oct 7, 2021•2 citations

On the robustness of holonomic quantum computation

Cosmo Lupo

Besides standard dynamical schemes to realize a quantum computer, there are particular approaches which are based on intrinsic properties of quantum systems, leading to the definition of topological computation and holonomic, or geometric, computation. The holonomic approach can be viewed as the application of non-Abelian geometric phases to quantum information processing, it is believed to be fault-tolerant with respect of certain kind of parametric noise. Here we discuss the issue of robustness of holonomic quantum gates under parametric noise: we distinguish between geometric and dynamical effects of cancelation, which can appear in different contexts. A so-called standard argument in favor of the stability of noisy holonomic quantum gates is reviewed and extended to more general settings. New geometric effects that describe the behavior of noisy holonomic gates are presented. These effects lead to a refining of the optimal strategy to achieve a robust computation.

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Quantum Computation, Decoherence, Einselection, Quantum Chaos And Random Matrix Theory, Chaos, Quantum Recurrences, Many-Body Quantum Chaos, Signatures Of Chaos In Ballistic Transport And Other Topics Of Interest And Corporation: Gesamtkunstwerk But Tempu

K.N.P. Kumar, B S Kiranagi, C.J. Prabhakara +2 more

Acumen, apprehensional - argumentation, bounds-comprehension, dialectics-discernment, generalizational induction, inferential intellect, antecedental argument, Determinantal end, Vindicational exposition, manifestational attestation, generalizational syllogisms, argumentational assertion, case, claim, contention, debate, defense, discussion, exchange, expostulational grounds of systems representative of an d constinutionalised with Response To The 'Insufficiency Of The Faculties Of Perception', A Means To Address 'Reality' Or Things Which 'Do Not Explicitly Strike Our Sense Or Consciousness' (Ibid, 418)::In Harmonia Progression: Progression In Harmony, Infinite Information Due To Permutations And Combinations Of Anagrammatic Mind: Gnotum Per Æque Ignotum, Meaning "The Unknown By The Equally Unknown"(My Interpretation), Euclid’s Space Is Transformed In To Topological Space By An Act Of Perception: Euclid’s Space Is Transformed In To Topological Space: Eluceat Omnibus Lux: Let The Light Shine Out From All, Quantum Origins Of The Classical: Aièn Aristeúein:“Ever To Excel”, Born’s Rules And To Reduced Density Matrices: Extra Territorium Jus Dicenti Impune Non Paretur: Admistration Of Justice Outside Jurisdiction Shall Be Disobeyed, Chaotic Dirac Billiard :Expressio Unius Est Exclusio Alterius: Expression Of The One Is The Exclusion Of The Other, Quantum Motion In Chaotic And Regular Systems: Exegi Monumentum Aere Perennius: Reared A Monument More Enduring Than Bronze, Universal Quantum Signatures Of Chaos: Ex Vulgus Scientia: From Crowd, Knowledge, Nuclear Shell Model: Exceptio Firmat (Or Probat) Regulam In Casibus Non Exceptis: Exception Confirms The Rule In Cases Which Are Not Excepted, Quantum Chaos On Graphs: Ex Scientia Vera: From Knowledge Truth, Quantum Chaos And Quantum Computing: Ex Turpi Causa Non Oritur Actio :From A Dishonorable Cause An Action Does Not Arise, Exponential Instability =Continuous (Frequency) Fourier Spectrum Of Motion : De Jure Belli Ac Pacis (English: On The Law Of War And Peace, Discreteness Of The Phase Space: Et Haec Quidem Quae Iam Diximus, Locum Aliquem Haberent Etiamsi Daremus, Quod Sine Summo Scelere Dari Nequit, Non Esse Deum, Aut Non Curari Ab Eo Negotia Humana: There Is No God, Or That The Affairs Of Men Are Of No Concern To Him, Regimes For Fidelity Decay: Esse Quam Videri :"To Be, Rather Than To Seem (To Be)", Time Evolution Is Measured By A Series Of Independent Measurements: The full paper: http://www.iiste.org/PDFshare/APTA-PAGENO- 180815-185146.pdf

Advances in physics theories and applications•Jan 1, 2013•0 citations

Holonomic Quantum Computation

Angelo C. M. Carollo, Vlatko Vedral

In this brief review we describe the idea of holonomic quantum computation. The idea of geometric phase and holonomy is introduced in a general way and we provide few examples that should help the reader understand the issues involved.

arXiv:quant-ph/0504205•Apr 27, 2005•2 citations

Wormhole Between 'Entangled' Quantum Particles, Holographic Dual Of An Einstein-Podolsky-Rosen Pair, Bell’s Inequalities, Filter-Free Image Sensor Pixels, Entanglement Of 103 Dimensions With Only Two Photons, Bell’s inequalities And Other Editorials Of Co

Kunal Kumar, C.J. Prabhakara, S.K. Narasimha Murthy +1 more

Assortment-blend, collection-combinations, combo-gallimaufry, goulash-hash, hodgepodge-medley, mishmash-mixture, motley-pastiche patchwork-salmagundi, soup-stew, mixed bag-mélange, olio- olio podrida, assortment variety, Array choice, collection combination, combo diversity, hodgepodge jumble, kind medley, miscellany mishmash, mixed bag mixture, mélange potpourri, selection sort, brew concoction, beverage blend, broth compound, distillation drink, fermentation hash, hodgepodge infusion, instillation liquor, mélange miscellany, mishmash mixture, mélange potpourri, borscht bouillon, bowl brew, chowder concoction, consommé decoction, gumbo hodge-podge, olio porridge, potage potpourri, pottage puree, splash stock, vichyssoise hodgepodge, mixture- mess, collection combination, goulash hash, jumble medley, miscellany mishmash, mixed bag mélange, olio patchwork, potpourri salmagundi, jumble clutter, disarrangement disarray, disorder farrago, gallimaufry garbage.... The full paper: http://www.iiste.org/PDFshare/APTA-PAGENO-286513-290671.pdf

Advances in physics theories and applications•Jan 1, 2013•0 citations
Critical unhappiness, annoyed Relevance, lists and blocks, explicational opinion, statemental annotation has been made when defining the relation of holonomic computation vis a vis the random matrix theory, notwithstanding the Assortment-blend, collection-combinations, combo-gallimaufry proving to be palatable due to investigations conducted thereof. Because of its geometric nature, holonomic quantum computation is fault tolerant against certain types of control errors. Although proposed more than a decade ago, the experimental realization of holonomic quantum computation is still an open challenge......... The full paper: http://www.iiste.org/PDFshare/APTA-PAGENO-328484-332791.pdf
Recent experiments with increasingly larger numbers of qubits have sparked renewed interest in adiabatic quantum computation, and in particular quantum annealing. A central question that is repeatedly asked is whether quantum features of the evolution can survive over the long time scales used for quantum annealing relative to standard measures of the decoherence time. Authors reconsider the role of decoherence in adiabatic quantum.... The full paper: http://www.iiste.org/PDFshare/APTA-PAGENO-431867-436194.pdf
Geometric and holonomic quantum computation utilizes intrinsic geometric properties of quantum-mechanical state spaces to realize quantum logic gates. Since both geometric phases and quantum holonomies are global quantities depending only on the evolution paths of quantum systems, quantum gates based on them possess built-in resilience to certain kinds of errors. This review provides an introduction to the topic as well as gives an overview of the theoretical and experimental progress for constructing geometric and holonomic quantum gates and how to combine them with other error-resistant techniques.
Besides standard dynamical schemes to realize a quantum computer, there are particular approaches which are based on intrinsic properties of quantum systems, leading to the definition of topological computation and holonomic, or geometric, computation. The holonomic approach can be viewed as the application of non-Abelian geometric phases to quantum information processing, it is believed to be fault-tolerant with respect of certain kind of parametric noise. Here we discuss the issue of robustness of holonomic quantum gates under parametric noise: we distinguish between geometric and dynamical effects of cancelation, which can appear in different contexts. A so-called standard argument in favor of the stability of noisy holonomic quantum gates is reviewed and extended to more general settings. New geometric effects that describe the behavior of noisy holonomic gates are presented. These effects lead to a refining of the optimal strategy to achieve a robust computation.
Acumen, apprehensional - argumentation, bounds-comprehension, dialectics-discernment, generalizational induction, inferential intellect, antecedental argument, Determinantal end, Vindicational exposition, manifestational attestation, generalizational syllogisms, argumentational assertion, case, claim, contention, debate, defense, discussion, exchange, expostulational grounds of systems representative of an d constinutionalised with Response To The 'Insufficiency Of The Faculties Of Perception', A Means To Address 'Reality' Or Things Which 'Do Not Explicitly Strike Our Sense Or Consciousness' (Ibid, 418)::In Harmonia Progression: Progression In Harmony, Infinite Information Due To Permutations And Combinations Of Anagrammatic Mind: Gnotum Per Æque Ignotum, Meaning "The Unknown By The Equally Unknown"(My Interpretation), Euclid’s Space Is Transformed In To Topological Space By An Act Of Perception: Euclid’s Space Is Transformed In To Topological Space: Eluceat Omnibus Lux: Let The Light Shine Out From All, Quantum Origins Of The Classical: Aièn Aristeúein:“Ever To Excel”, Born’s Rules And To Reduced Density Matrices: Extra Territorium Jus Dicenti Impune Non Paretur: Admistration Of Justice Outside Jurisdiction Shall Be Disobeyed, Chaotic Dirac Billiard :Expressio Unius Est Exclusio Alterius: Expression Of The One Is The Exclusion Of The Other, Quantum Motion In Chaotic And Regular Systems: Exegi Monumentum Aere Perennius: Reared A Monument More Enduring Than Bronze, Universal Quantum Signatures Of Chaos: Ex Vulgus Scientia: From Crowd, Knowledge, Nuclear Shell Model: Exceptio Firmat (Or Probat) Regulam In Casibus Non Exceptis: Exception Confirms The Rule In Cases Which Are Not Excepted, Quantum Chaos On Graphs: Ex Scientia Vera: From Knowledge Truth, Quantum Chaos And Quantum Computing: Ex Turpi Causa Non Oritur Actio :From A Dishonorable Cause An Action Does Not Arise, Exponential Instability =Continuous (Frequency) Fourier Spectrum Of Motion : De Jure Belli Ac Pacis (English: On The Law Of War And Peace, Discreteness Of The Phase Space: Et Haec Quidem Quae Iam Diximus, Locum Aliquem Haberent Etiamsi Daremus, Quod Sine Summo Scelere Dari Nequit, Non Esse Deum, Aut Non Curari Ab Eo Negotia Humana: There Is No God, Or That The Affairs Of Men Are Of No Concern To Him, Regimes For Fidelity Decay: Esse Quam Videri :"To Be, Rather Than To Seem (To Be)", Time Evolution Is Measured By A Series Of Independent Measurements: The full paper: http://www.iiste.org/PDFshare/APTA-PAGENO- 180815-185146.pdf
Assortment-blend, collection-combinations, combo-gallimaufry, goulash-hash, hodgepodge-medley, mishmash-mixture, motley-pastiche patchwork-salmagundi, soup-stew, mixed bag-mélange, olio- olio podrida, assortment variety, Array choice, collection combination, combo diversity, hodgepodge jumble, kind medley, miscellany mishmash, mixed bag mixture, mélange potpourri, selection sort, brew concoction, beverage blend, broth compound, distillation drink, fermentation hash, hodgepodge infusion, instillation liquor, mélange miscellany, mishmash mixture, mélange potpourri, borscht bouillon, bowl brew, chowder concoction, consommé decoction, gumbo hodge-podge, olio porridge, potage potpourri, pottage puree, splash stock, vichyssoise hodgepodge, mixture- mess, collection combination, goulash hash, jumble medley, miscellany mishmash, mixed bag mélange, olio patchwork, potpourri salmagundi, jumble clutter, disarrangement disarray, disorder farrago, gallimaufry garbage.... The full paper: http://www.iiste.org/PDFshare/APTA-PAGENO-286513-290671.pdf