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Devanshu Shekhar

Publications and source records attributed to Devanshu Shekhar.

7 recordsLinked to original sources

Hybrid Quantum Algorithms for Trade Surveillance Analytics

Anti-money laundering (AML) and trade surveillance remain largely manual: rule-based monitoring raises alerts of which, by estimate, over 95% are false positives, each reviewed by a human analyst. We benchmark four quantum and hybrid classifiers against classical baselines on a synthetic pump-and-dump detection task: a fidelity-based quantum k-nearest-neighbours classifier (QKNN) with clustering-based routing; a quantum support vector machine (QSVM) on a one-body projected quantum kernel; a 20-qubit quantum neural network (QNN) with a Pauli-ZZ feature map and RealAmplitudes ansatz; and a hybrid quantum neural network (HQNN) in which a small classical network generates every rotation angle of a five-qubit circuit. Baselines are logistic regression, XGBoost, one- and three-hidden-layer neural networks, and classical k-nearest neighbours. All models share one stratified split of 1000 accounts (800 train, 200 test, 20% suspicious) and two 20-feature representations (ANOVA and PCA); QKNN and QSVM are also tested under simulated noise, and the HQNN is run on the ibm_fez processor. The best model is classical XGBoost on ANOVA features, at a suspicious-class F1 of 61.4%. The HQNN is the strongest quantum-hybrid model, at 54.5-57.9% F1 on an ideal simulator and 55.4-59.8% on ibm_fez, ahead of six of eight classical configurations; at a 15% false-positive rate, half its alerts are genuinely suspicious. Versus the QNN (42.0% F1), it raises under half the false alarms at similar recall with a quarter of the qubits. The QKNN reaches 43.5% F1 (44.4% under noise), above classical KNN (35.6%); the QSVM does not exceed 41%. We observe no quantum advantage, but a five-qubit hybrid on today's noisy hardware already matches well-tuned classical models, with room to grow via richer circuits and larger devices. We contribute a like-for-like comparison with classical models on shared data, splits and features.

quant-ph↗

Entanglement dynamics of many-body quantum states: sensitivity to system conditions and a hidden universality

We consider physical Hamiltonians that can be represented by the multiparametric Gaussian ensembles, theoretically derive the state ensembles for its eigenstates and analyze the effect of varying system conditions on its bipartite entanglement entropy. Our approach leads to a single parametric based common mathematical formulation for the evolution of the entanglement statistics of different states of a given Hamiltonian or different Hamiltonians subjected to same symmetry constraints. The parameter turns out to be a single functional of the system parameters and thereby reveals a deep web of connection hidden underneath different quantum states.

quant-ph↗

Single-particle entanglement dynamics in complex systems

We analyze the effect of varying system conditions on the single-particle entanglement entropy for an arbitrary eigenstate of a complex system that can be described by a multiparametric Gaussian ensemble. Our theoretical analysis leads to the identification of a single functional of the system parameters that governs the entropy dynamics. This reveals a sensitivity of the entropy to collective information content, characterized by the functional, instead of the individual system details. The functional can further be used to identify the universality classes as well as a deep web of connection underlying different quantum states.

quant-ph↗

Edge of entanglement in non-ergodic states: a complexity parameter formulation

We analyze the subsystem size scaling of the entanglement entropy of a non-ergodic pure state that can be described by a multi-parametric Gaussian ensemble of complex matrices in a bipartite basis. Our analysis indicates, for a given set of global constraints, the existence of infinite number of universality classes of local complexity, characterized by the complexity parameter, for which the entanglement entropy reveals a universal scaling with subsystem size. A rescaling of the complexity parameter helps us to identify the critical regime for the entanglement entropy of a broad range of pure non-ergodic states.

quant-ph↗

Distribution of the entanglement entropy of a non-ergodic quantum state

We theoretically derive the probability densities of the entanglement measures of a pure non-ergodic many-body state, represented in a bipartite product basis and with its reduced density matrix described by a generalized, multi-parametric Wishart ensemble with unit trace. Our results indicate significant fluctuations of the measures around their average behavior (specifically for the states away from separability and maximum entanglement limits). The information is relevant not only for hierarchical arrangement of entangled states (e.g., revealing the flaws in their characterization based on average behavior) but also for phase transition studies of many body systems.

quant-ph↗

Entanglement dynamics of multi-parametric random states: a single parametric formulation

A non-ergodic quantum state of a many body system is in general random as well as multi-parametric, former due to a lack of exact information due to complexity and latter reflecting its varied behavior in different parts of the Hilbert space. An appropriate representation for the reduced density matrix of such a state is a generalized, multi-parametric Wishart ensemble with unit trace. Our theoretical analysis of these ensembles not only resolves the controversy about the growth rates of the average information entropies of the generic states but also leads to new insights in their entanglement dynamics. While the state itself is multi-parametric, we find that the growth of the average measures can be described in terms of an information-theoretic function, referred as the complexity parameter. The latter in turn leads to a common mathematical formulation of the measures for a wide range of states; it could also act as a possible tool for hierarchical arrangement of the entangled states of different systems.

quant-ph↗

Symmetry Analysis of Surfactant Driven Thin Liquid Film Equations

Spreading of liquid thin film driven by surfactant due to the Marangoni effect is described using a coupled system of second-order partial differential equations. Lie group of transformation are used to obtain the symmetries of the given system of partial differential equations. The symmetries are then used to arrive at a semi-analytic solution of the system. Furthermore, a vector field analysis of the obtained solution is performed to provide additional insights into the problem. The obtained results demonstrate that the surfactant concentration drives the fluid, and thereby the fluid thins faster.

physics.comp-ph↗