Amar Vakil on LinkedIn: A hybrid topological quantum state in an elemental solid - Nature (2024)

Maximum SubarrayApproach ->1. Initialize two variables: "ans" and "curr" with a value of -1e9 (a very small value, indicating negative infinity)."ans" will store the maximum sum found so far."curr" will keep track of the current sum of subarray elements.2. Iterate over each element "i" in the given array "nums":Add the current element to the "curr" sum.Update the "ans" with the maximum value between the current "ans" and "curr". This ensures that "ans" always stores the maximum sum encountered.If the "curr" sum becomes negative, reset it to zero.This step is important because if the current sum becomes negative, it means including the current element in the subarray will decrease the overall sum. Thus, it's better to exclude the previous elements and start a new subarray from the current element.3. After iterating through all the elements, return the final value of "ans," which represents the maximum sum of a subarray within the given array.Mohammad F. NextLeap #nextleapdsachallenge

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I am proud to announce, that finally this key finding of my thesis is being published!Normally the correction of a light field depends linearly on the number of measurements which presents a key problem for dynamic applications due to long acquisition times. In our article we present a different presentation of the light fields on an annular basis. As a consequence, the number of measurements to correct the light field is finite, allowing much faster acquisition times for the field by reducing the required number of measurements to yield a maximal correction. For details, check out the article:https://lnkd.in/d-uS9dTF

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New #OpenAccess paper in the SSA #TheSeismicRecord “Direction Estimates for Short-Period P-waves on Three-Component Stations and Arrays” https://lnkd.in/dFr6M2FQBackazimuth estimates from correlating vertical and radial traces can be improved vastly by finding their symmetrical components. Can be applied to medium aperture 3C arrays without needing signal coherence.All data and code used in this paper is open. The m3csdirest program is freely available from https://lnkd.in/d2BDK2S8 #seismology #seismicmonitoring #DPRK #forensicseismology #earthquakescience #earthquakelocation #signalprocessing

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Explore this explanation of the quantum phase estimation algorithm. Understanding this algorithm is an essential prerequisite to understanding Shor's algorithm.

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Shor’s algorithm meets Regev….Significant paper on potential reduction in complexity to practically implement Shor’s algorithm in multiple dimensions.https://lnkd.in/gjBpifxR#quantumcryptography #postquantumcryptography #postquantum

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Check out my latest paper on the linear subgroup of volume-preserving diffeomorphism as the underlying symmetry to construct an action within the effective field theory framework and the Schwinger-Keldish formalism.https://lnkd.in/gMKt-t7K

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Use of othertopologies

We have just posted our latest work about quantum skyrmions on the arxiv: https://lnkd.in/e2aFQK5R. In this work, we construct an operator for quantum skyrmions, which captures both their (classical) magnetization profile as well as their leading quantum fluctuations. It could prove a useful numerical tool for studying the behavior of systems hosting quantum skyrmions.

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Happy to share my 2nd work which is published in npj Quantum Materials.In this work we focused on Os based double perovskite (d2) compounds, where Os is in 6+ state, d2 configuration. The ground state is a non kramer's doublet, which has no dipole moment but has higher order multipoles(quadrupole, octupole). 𝐔𝐬𝐢𝐧𝐠 𝐚𝐛𝐢𝐧𝐢𝐭𝐢𝐨 𝐜𝐨𝐦𝐩𝐮𝐭𝐚𝐭𝐢𝐨𝐧𝐬, 𝐋𝐚𝐧𝐝𝐚𝐮 𝐭𝐡𝐞𝐨𝐫𝐲, 𝐚𝐧𝐝 𝐌𝐨𝐧𝐭𝐞 𝐂𝐚𝐫𝐥𝐨 𝐬𝐢𝐦𝐮𝐥𝐚𝐭𝐢𝐨𝐧𝐬, 𝐰𝐞 𝐬𝐡𝐨𝐰 𝐭𝐡𝐚𝐭 𝐉𝐚𝐧𝐮𝐬 𝐢𝐦𝐩𝐮𝐫𝐢𝐭𝐢𝐞𝐬 𝐢𝐧𝐝𝐮𝐜𝐞 𝐥𝐨𝐜𝐚𝐥 𝐬𝐭𝐫𝐚𝐢𝐧 𝐟𝐢𝐞𝐥𝐝𝐬, 𝐧𝐮𝐜𝐥𝐞𝐚𝐭𝐢𝐧𝐠 𝐪𝐮𝐚𝐝𝐫𝐮𝐩𝐨𝐥𝐚𝐫 𝐩𝐮𝐝𝐝𝐥𝐞𝐬 𝐚𝐧𝐝 𝐬𝐮𝐩𝐩𝐫𝐞𝐬𝐬𝐢𝐧𝐠 𝐭𝐡𝐞 𝐨𝐜𝐭𝐮𝐩𝐨𝐥𝐚𝐫 𝐓𝐜. At the same time, strains mix the non-Kramers doublet with an excited magnetic triplet, creating parasitic dipole moments which directly expose the hidden octupolar order parameter.Thanks to my supervisor 𝐏𝐫𝐨𝐟. 𝐓𝐚𝐧𝐮𝐬𝐫𝐢 𝐒𝐚𝐡𝐚-𝐝𝐚𝐬𝐠𝐮𝐩𝐭𝐚 and my group mates (𝐒𝐡𝐢𝐥𝐚 𝐃𝐚𝐚, 𝐒𝐚𝐦𝐢𝐫 𝐃𝐚𝐚, 𝐀𝐢𝐬𝐡𝐰𝐚𝐫𝐲𝐨, 𝐌𝐚𝐧𝐨𝐣, 𝐑𝐚𝐣𝐝𝐞𝐞𝐩, 𝐀𝐫𝐧𝐚𝐛). Thanks to 𝐏𝐫𝐨𝐟. 𝐀𝐫𝐮𝐧 𝐏𝐚𝐫𝐚𝐦𝐞𝐤𝐚𝐧𝐭𝐢 and 𝐒𝐫𝐞𝐞𝐤𝐚𝐫 𝐕𝐨𝐥𝐞𝐭𝐢. Nice to work with them.https://lnkd.in/gvMZyAkZ

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Our paper on operator-constrained #quantum field theory for open systems is out: https://lnkd.in/ecjpsxFw

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