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4votes
1answer
199views

References for Numerical Solutions of the Feynman Path Integral

I am looking for references that discuss numerical approaches to evaluating the Feynman path integral. Specifically, I would like references (books, papers, or reviews) that cover: Discretization ...
0votes
0answers
34views

How to define an equitable success event in quantum-walk-based multiple-targets search algorithm?

In quantum search algorithms (on a 2D grid or other setting), when there are multiple targets, a "successful search" event is often defined in following: $$P_{success}=\max_{t\in [0,T]} \...
YuzheCheung's user avatar
1vote
1answer
489views

Doubt in Verlet's Algorithm

In studying the temporal evolution of a system according to the deterministic model, we begin by considering a Taylor series expansion for the displacement $r$. First, we consider a positive variation ...
user3204810's user avatar
2votes
2answers
227views

Neglected Term in the energy gradient for Variational Monte-Carlo

I'm looking into variational Monte-Carlo to determine the optimal variational parameter that corresponds to the ground state of a Hamiltonian. In general I am interested in tight binding models where ...
I.E.P.'s user avatar
2votes
0answers
84views

Multilateration of a light source in a medium whose index of refraction varies with position

Background I have a set of $N$ receivers whose locations in $3D$ space are well-known. These receivers are immersed in a medium whose index of refraction (and thereby the velocity of light propagation)...
IntegerEuler's user avatar
0votes
0answers
38views

Force-simulation for graph layout: How to avoid particle collapsing into a single point?

In a force-based graph-layout simulation using Barnes-Hut, what are the conditions for collapse? With collapse I mean multiple (or even all) nodes "collapsing" into a single point. Is there ...
skep's user avatar
1vote
0answers
32views

Any quantum Monte-Carlo algorithm for calculating the lowest eigenenergy in each symmetry sector?

Suppose we have a hamiltonian which has the parity symmetry (e.g., the Heisenberg model with the open boundary condition). Is there any quantum Monte-Carlo algorithm which can be used to calculate the ...
poisson's user avatar
  • 2,175
2votes
0answers
86views

Is there a proof for critical slow-down in Monte Carlo?

It is physically understood why the standard Metropolis-Hasting algorithm slows down near the critical temperature, since it doesn’t utilize the divergence of the correlation length. However, I’m ...
Andrew Yuan's user avatar
0votes
0answers
46views

Is Quantum State Tomography (QST) an inherently supervised or unsupervised problem in Machine Learning?

I am studying how to apply neural networks to the problem of Quantum State Tomography (QST) and I got confused when it comes to decide if this is a supervised or unsupervised learning problem. At ...
Dimitri's user avatar
0votes
0answers
53views

Understanding chapter 3.1 (Laplace's equation) in Introduction to electrodynamics Griffiths 4 ed [duplicate]

I really need help to understand chapter 3.1. What is the method of relaxation? How can I use the method of relaxation to solve Laplace's equation? How can I use the first and second uniqueness ...
aaa's user avatar
1vote
0answers
95views

Simplest quantum Monte-Carlo method for the Bose-Hubbard model

I want to use quantum Monte-Carlo results to benchmark an algorithm for the Bose-Hubbard model. There are so many QMC methods in the market, so which one is the simplest one? I want the ground state ...
poisson's user avatar
  • 2,175
0votes
0answers
80views

How are the boundary conditions given in the SIMPLE algorithm on a forward staggered grid for a lid driven cavity flow?

I have a code given by my professor in which he applies the boundary conditions for the lid driven cavity flow. All the enforcement of boundary conditions I have seen elsewhere completely differ from ...
howstheJosh's user avatar
2votes
1answer
142views

Numerically computing induced magnetic field from current density

Let's say we have current density $J_i$ on a discretized grid with $(N_x \times N_y \times N_z)$ points. What is the best procedure to compute the induced magnetic field $(B_i)$ from the current ...
myresh's user avatar
0votes
0answers
167views

What are the advantages of tensor network algorithms over monte-carlo simulations in terms of time-evolution?

I understand that tensor networks and monte carlo simulations are based on completely different principles. However, to my knowledge both are used to simulate the time evolution of a system. Is there ...
Souroy's user avatar
1vote
1answer
48views

An example problem to solve using 100 qubits?

Suppose we have in our possession 100 pairs of electrons. Each electron A1 - A100 is entangled with its respective twin B1 - B100. Each entangled electron pair has been set up to have opposite spins (...
James's user avatar

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