A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
Optimizes trading trajectories for large portfolios quickly.
Quantum computing for machine learning attracts increasing attention and recent technological developments suggest that especially adiabatic quantum computing may soon be of practical interest. In this paper, we therefore consider this paradigm and discuss how to adopt it to the problem of binary clustering. Numerical …
Quantum computing speeds up linear regression training.
Quantum machine learning: Adiabatic quantum SVM outperforms classical methods.
This paper uses quantum computing to solve sparse linear regression problems efficiently.
We study the generating functional, the adiabatic curvature and the adiabatic phase for the integer quantum Hall effect (QHE) on a compact Riemann surface. For the generating functional we derive its asymptotic expansion for the large flux of the magnetic field, i.e., for the large degree of the positive Hermitian …
Unified geometric framework for adiabatic quantum mechanics.
Survey on quantum computing and neural networks.
New method uses adiabatic principles to improve ground-state preparation in quantum computing.
This paper uses QUBO to train machine learning models on quantum computers.
Quantum computing speeds up neural network training and retraining.
Quantum machine learns faster by reverse annealing on AQCs.
Develops adiabatic theory for ACW flow on surfaces.
Quantum computer method for pricing lookback options with jumps.
Characterizes optimal-speed quantum state evolution Hamiltonians.
Quantum field theory uses Lorentzian bordisms to describe time evolution.
Tangle machines are a topologically inspired diagrammatic formalism to describe information flow in networks. This paper begins with an expository account of tangle machines motivated by the problem of describing `covariance intersection' fusion of Gaussian estimators in networks. It then gives two examples in which ta…
Abstract reviews symmetry and reduction in dynamical systems.
Quantum walks model financial returns with flexibility and asymmetry.
A key problem in financial mathematics is the forecasting of financial crashes: if we perturb asset prices, will financial institutions fail on a massive scale? This was recently shown to be a computationally intractable (NP-hard) problem. Financial crashes are inherently difficult to predict, even for a regulator whic…
Develops an analytic theory for quantum imaginary time evolution.
We apply the geometric-topology surgery theory on spacetime manifolds to study the constraints of quantum statistics data in 2+1 and 3+1 spacetime dimensions. First, we introduce the fusion data for worldline and worldsheet operators capable creating anyon excitations of particles and strings, well-defined in gapped st…
We propose a new systematic fibre bundle formulation of nonrelativistic quantum mechanics. The new form of the theory is equivalent to the usual one but it is in harmony with the modern trends in theoretical physics and potentially admits new generalizations in different directions. In it a pure state of some quantum s…
Model financial markets using open quantum systems to understand market imperfections.
Quantum methods model uncertain volatility in financial markets.
Quantum-assisted VAE improves similarity search in high-dimensional datasets.
We propose a version of the non-relativistic quantum mechanics in which the pure states of a quantum system are described as sections of a Hilbert (generally infinitely-dimensional) fibre bundle over the space-time. There evolution is governed via (a kind of) a parallel transport in this bundle. Some problems concernin…
To formulate the universal constraints of quantum statistics data of generic long-range entangled quantum systems, we introduce the geometric-topology surgery theory on spacetime manifolds where quantum systems reside, cutting and gluing the associated quantum amplitudes, specifically in 2+1 and 3+1 spacetime dimension…
This work presents a novel fundamental algorithm for for defining and training Neural Networks in Quantum Information based on time evolution and the Hamiltonian. Classical Neural Network algorithms (ANN) are computationally expensive. For example, in image classification, representing an image pixel by pixel using cla…
We show how to train a quantum network of pairwise interacting qubits such that its evolution implements a target quantum algorithm into a given network subset. Our strategy is inspired by supervised learning and is designed to help the physical construction of a quantum computer which operates with minimal external cl…
We present a simpler proof for the existence of adiabatic limits. Moreover, we added a new section where the adiabatic process is reversed and in some nondegenerate cases we deform the adiabatic limits to genuine irreducible solutions of the SW equations.
Tangle machines are topologically inspired diagrammatic models. Their novel feature is their natural notion of equivalence. Equivalent tangle machines may differ locally, but globally they are considered to share the same information content. The goal of tangle machine equivalence is to provide a context-independent me…
Quantum method prices options by evolving a state in imaginary time.
Study adiabatic limits of calibrated submanifolds in Riemannian geometry.
Quantum neural networks generalize better due to flatter parameter space.
Study on quantum particle evolution on Grushin cylinder, embedding in R^3.
New Ising models improve consensus clustering on specialized hardware.
Simulating the time-evolution of quantum mechanical systems is BQP-hard and expected to be one of the foremost applications of quantum computers. We consider classical algorithms for the approximation of Hamiltonian dynamics using subsampling methods from randomized numerical linear algebra. We derive a simulation tech…
Quantum crypto-economics models price risks in blockchain technology.
We prove an adiabatic decomposition formula of the zeta-determinant of the Laplace type operator with respect to Dirichlet boundary condition. We allow the non-invertible tangential operator. As a result, our adiabatic decomposition formula involves the scattering matrix over the manifold with cylindrical end. We also …
Study adiabatic limits of Calderon projector on manifolds with cylindrical ends.
Hybrid QAOA approach optimizes portfolios with strict constraints, outperforming classical methods.
UKM framework optimizes VQCs, showing QCL performance is bounded.
This version withdrawn by arXiv administrators because the submitter did not have the right to agree to our license at the time of submission.
We use adiabatic limits to study foliated manifolds. The Bott connection naturally shows up as the adiabatic limit of Levi-Civita connections. As an application, we then construct certain natural elliptic operators associated to the foliation and present a direct geometric proof of a vanshing theorem of Connes[Co], whi…
We consider the crossed product by of the adiabatic groupoid associated with any Lie groupoid . We construct an explicit Morita equivalence between the exact sequence of order 0 pseudodifferential operators on and (a restriction of) the natural exact sequence associated with . As an imp…
Eta invariant computed for circle bundles over Fano manifolds.
In this paper, we compute the adiabatic limit of the scalar curvature and prove several vanishing theorems, we also derive a Kastler-Kalau-Walze type theorem for the noncommutative residue in the case of foliations.