检索结果-内蒙古大学图书馆

quantum annealer accelerates the variational quantum eigensolver in a triple-hybrid algorithm

学校读者我要写书评

暂无评论

arXiv 2024年

作者： Jattana, Manpreet Singh Modular Supercomputing and Quantum Computing Goethe University Frankfurt Kettenhofweg 139 Frankfurt am Main60325 Germany

Hybrid algorithms that combine quantum and classical resources have become commonplace in quantum computing. The variational quantum eigensolver (VQE) is routinely used to solve prototype problems. Currently, hybrid algorithms use no more than one kind of quantum computer connected to a classical computer. In this work, a novel triple-hybrid algorithm combines the effective use of a classical computer, a gate-based quantum computer, and a quantum annealer. The solution of a graph coloring problem found using a quantum annealer reduces the resources needed from a gate-based quantum computer to accelerate VQE by allowing simultaneous measurements within commuting groups of Pauli operators. We experimentally validate our algorithm by evaluating the ground state energy of H2 using different IBM Q devices and the DWave Advantage system requiring only half the resources of standard VQE. Other larger problems we consider exhibit even more significant VQE acceleration. Several examples of algorithms are provided to further motivate a new field of multi-hybrid algorithms that leverage different kinds of quantum computers to gain performance improvements. Copyright © 2024, The Authors. All rights reserved.

关键词： Annealing

Scalable General Error Mitigation for quantum Circuits

学校读者我要写书评

暂无评论

arXiv 2024年

作者： Döbler, Philip Pflieger, Jannik Jin, Fengping De Raedt, Hans Michielsen, Kristel Lippert, Thomas Jattana, Manpreet Singh Modular Supercomputing and Quantum Computing Goethe University Frankfurt Kettenhofweg 139 Frankfurt am Main60325 Germany Jülich Supercomputing Centre Institute for Advanced Simulation Forschungszentrum Jülich Wilhelm-Johnen-Straße Jülich52428 Germany RWTH Aachen University Templergraben 55 Aachen52062 Germany

In quantum computing, error mitigation is a method to improve the results of an error-prone quantum processor by post-processing them on a classical computer. In this work, we improve the General Error Mitigation (GEM) method for scalability. GEM relies on the use of a matrix to represent the device error, which requires the execution of 2n+1 calibration circuits on the quantum hardware, where n is the number of qubits. With our improved method, the number of calibration runs is independent of the number of qubits and depends only on the number of non-zero states in the output distribution. We run 1853 randomly generated circuits with widths between 2-7 qubits and depths between 10-140 gates on IBMQ superconducting devices. The experiments show that the mitigation works comparably well to GEM, while requiring a fraction of the calibration runs. Finally, an experiment to mitigate errors in a 100 qubit circuit demonstrates the scalable features of our method. Copyright © 2024, The Authors. All rights reserved.

关键词： Qubits

Can foreign exchange rates violate Bell inequalities?

学校读者我要写书评

暂无评论

arXiv 2024年

作者： De Raedt, Hans Katsnelson, Mikhail I. Jattana, Manpreet S. Mehta, Vrinda Willsch, Madita Willsch, Dennis Michielsen, Kristel Jin, Fengping Jülich Supercomputing Centre Institute for Advanced Simulation Forschungzentrum Jülich JülichD-52425 Germany Radboud University Institute for Molecules and Materials Heyendaalseweg 135 Nijmegen6525AJ Netherlands Modular Supercomputing and Quantum Computing Goethe University Frankfurt Kettenhofweg 139 Frankfurt am Main60325 Germany RWTH Aachen University AachenD-52056 Germany

The analysis of empirical data through model-free inequalities leads to the conclusion that violations of Bell-type inequalities by empirical data cannot have any significance unless one believes that the universe ope... 详细信息

关键词： Bells

Model-free inequality for data of Einstein-Podolsky-Rosen-Bohm experiments

学校读者我要写书评

暂无评论

arXiv 2023年

作者： De Raedt, Hans Katsnelson, Mikhail I. Jattana, Manpreet S. Mehta, Vrinda Willsch, Madita Willsch, Dennis Michielsen, Kristel Jin, Fengping Jülich Supercomputing Centre Institute for Advanced Simulation Forschungszentrum Jülich Jülich52425 Germany Zernike Institute for Advanced Materials University of Groningen Nijenborgh 4 Groningen9747AG Netherlands Radboud University Institute for Molecules and Materials Heyendaalseweg 135 Nijmegen6525AJ Netherlands Modular Supercomputing and Quantum Computing Goethe University Frankfurt Kettenhofweg 139 Frankfurt am Main60325 Germany RWTH Aachen University Aachen52056 Germany

We present a new inequality constraining correlations obtained when performing Einstein-Podolsky-Rosen-Bohm experiments. The proof does not rely on mathematical models that are imagined to have produced the data and is therefore "model-free". The new inequality contains the model-free version of the well-known Bell-CHSH inequality as a special case. A violation of the latter implies that not all the data pairs in four data sets can be reshuffled to create quadruples. This conclusion provides a new perspective on the implications of the violation of Bell-type inequalities by experimental data. © 2023, CC BY.

关键词： Bells

Einstein-Podolsky-Rosen-Bohm experiments: a discrete data driven approach

学校读者我要写书评

暂无评论

arXiv 2023年

作者： De Raedt, Hans Katsnelson, Mikhail I. Jattana, Manpreet S. Mehta, Vrinda Willsch, Madita Willsch, Dennis Michielsen, Kristel Jin, Fengping Jülich Supercomputing Centre Institute for Advanced Simulation Forschungzentrum Jülich JülichD-52425 Germany Zernike Institute for Advanced Materials University of Groningen Nijenborgh 4 GroningenNL-9747 AG Netherlands Radboud University Institute for Molecules and Materials Heyendaalseweg 135 Nijmegen6525AJ Netherlands Modular Supercomputing and Quantum Computing Goethe University Frankfurt Kettenhofweg 139 Frankfurt am Main60325 Germany RWTH Aachen University AachenD-52056 Germany

We take the point of view that building a one-way bridge from experimental data to mathematical models instead of the other way around avoids running into controversies resulting from attaching meaning to the symbols used in the latter. In particular, we show that adopting this view offers new perspectives for constructing mathematical models for and interpreting the results of Einstein-Podolsky-Rosen-Bohm experiments. We first prove new Bell-type inequalities constraining the values of the four correlations obtained by performing Einstein-Podolsky-Rosen-Bohm experiments under four different conditions. The proof is "model-free" in the sense that it does not refer to any mathematical model that one imagines to have produced the data. The constraints only depend on the number of quadruples obtained by reshuffling the data in the four data sets without changing the values of the correlations. These new inequalities reduce to model-free versions of the well-known Bell-type inequalities if the maximum fraction of quadruples is equal to one. Being model-free, a violation of the latter by experimental data implies that not all the data in the four data sets can be reshuffled to form quadruples. Furthermore, being model-free inequalities, a violation of the latter by experimental data only implies that any mathematical model assumed to produce this data does not apply. Starting from the data obtained by performing Einstein-Podolsky-Rosen-Bohm experiments, we construct instead of postulate mathematical models that describe the main features of these data. The mathematical framework of plausible reasoning is applied to reproducible and robust data, yielding without using any concept of quantum theory, the expression of the correlation for a system of two spin-1/2 objects in the singlet state. Next, we apply Bell’s theorem to the Stern-Gerlach experiment and demonstrate how the requirement of separability leads to the quantum-theoretical description of the averages and correl

关键词： Statistical mechanics

Einstein–Podolsky–Rosen–Bohm experiments: A discrete data driven approach

学校读者我要写书评

暂无评论

Annals of Physics 2023年 453卷

作者： De Raedt, Hans Katsnelson, Mikhail I. Jattana, Manpreet S. Mehta, Vrinda Willsch, Madita Willsch, Dennis Michielsen, Kristel Jin, Fengping Jülich Supercomputing Centre Institute for Advanced Simulation Forschungzentrum Jülich Jülich D-52425 Germany Zernike Institute for Advanced Materials University of Groningen Nijenborgh 4 Groningen NL-9747 AG Netherlands Radboud University Institute for Molecules and Materials Heyendaalseweg 135 Nijmegen 6525AJ Netherlands Modular Supercomputing and Quantum Computing Goethe University Frankfurt Kettenhofweg 139 Frankfurt am Main 60325 Germany RWTH Aachen University Aachen D-52056 Germany

We take the point of view that building a one-way bridge from experimental data to mathematical models instead of the other way around avoids running into controversies resulting from attaching meaning to the symbols used in the latter. In particular, we show that adopting this view offers new perspectives for constructing mathematical models for and interpreting the results of Einstein–Podolsky–Rosen–Bohm experiments. We first prove new Bell-type inequalities constraining the values of the four correlations obtained by performing Einstein–Podolsky–Rosen–Bohm experiments under four different conditions. The proof is “model-free” in the sense that it does not refer to any mathematical model that one imagines to have produced the data. The constraints only depend on the number of quadruples obtained by reshuffling the data in the four data sets without changing the values of the correlations. These new inequalities reduce to model-free versions of the well-known Bell-type inequalities if the maximum fraction of quadruples is equal to one. Being model-free, a violation of the latter by experimental data implies that not all the data in the four data sets can be reshuffled to form quadruples. Furthermore, being model-free inequalities, a violation of the latter by experimental data only implies that any mathematical model assumed to produce this data does not apply. Starting from the data obtained by performing Einstein–Podolsky–Rosen–Bohm experiments, we construct instead of postulate mathematical models that describe the main features of these data. The mathematical framework of plausible reasoning is applied to reproducible and robust data, yielding without using any concept of quantum theory, the expression of the correlation for a system of two spin-1/2 objects in the singlet state. Next, we apply Bell's theorem to the Stern–Gerlach experiment and demonstrate how the requirement of separability leads to the quantum-theoretical description of the averages and correl

关键词： Bell's theorem Data analysis Einstein–Podolsky–Rosen–Bohm experiments Logical inference quantum theory

Are lateral lipid-phase diffusion coefficients pertinent to dermal absorption?

学校读者我要写书评

暂无评论

Journal of controlled release : official journal of the Controlled Release Society 2025年 113773页

作者： Junxi Wang Arne Nägel Gerald B Kasting Johannes M Nitsche Modular Supercomputing and Quantum Computing Institute of Computer Science Goethe University Kettenhofweg 139 60325 Frankfurt a.M. Germany. James L. Winkle College of Pharmacy University of Cincinnati Academic Health Center Cincinnati OH 45267-0514 USA. Department of Chemical and Biological Engineering University at Buffalo The State University of New York Buffalo NY 14260-4200 USA. Electronic address: nitsche@buffalo.edu.

The skin's outer barrier layer, the stratum corneum (SC), is comprised of keratin-rich corneocytes, connected by proteinaceous corneodesmosomes and separated by nonpolar, lamellar lipids. The lipids are inherently anisotropic due to their lamellar organization. There is growing acceptance that this structural anisotropy carries over into transport properties including diffusive mass transport, which is consequently characterized by two diffusion coefficients, D for lateral diffusion along the lipid lamellae and D for transverse diffusion across them. Many microscopic models of SC transport have focused on D, as it is easier to measure and intuitively important if one considers the intervening corneocytes to be impermeable "bricks." However, the latter concept crumbles under close observation, and the weight of evidence shows that the corneocyte phase of the SC is considerably more permeable to most solutes than are the intercellular lipids. Given this finding and a plausible organization of the SC lipids at corneocyte boundaries, the ratio determines the balance of transcellular versus intercellular diffusion. Based on a detailed microscopic analysis of solute diffusion within the SC, we conclude that passive transdermal permeation is affected to only a modest degree (within a factor of ∼2) by the value of D over the full range of values typically encountered. This statement applies to all but highly lipophilic solutes, i.e., to solutes with logK≲5. The transverse diffusivity D is a much more quantitatively influential parameter affecting macroscopically observable diffusion in the transdermal direction. Consequently, D is the diffusivity that should be used in nondimensionalizing SC diffusion models to reduce computational burden. Furthermore, the analysis lends additional support to previous findings from several groups that transcellular diffusion is the dominant mechanism for passive transdermal permeation for all but the most lipophilic and the most hydrophilic

关键词： Anisotropic diffusion Brick-and-mortar models Dermal absorption Intercellular lipid Lateral diffusion Mathematical model Stratum corneum Transverse diffusion