Questions tagged [differential-equations]

For questions concerning finding solution of ordinary or partial differential equations or systems of them. Questions may deal with both linear and non-linear differential equations. The tag can also be used for questions on linearization of non-linear differential equations on a quantum computer.

5 questions
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Can quantum computers help to solve questions of general relativity theory?

My question is rather straightforward: Can quantum computers be used to solve problem within general relativity theory? To put more context. As GR is based on solution of rather complicated systems of differentials equation, often numerical…
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Variational Quantum Linear Solver

I'm studying quantum computing right now and trying to implement variational quantum linear solver to solve a system of linear equations. From what I have understood from the paper written by Carlos Bravo Prieto, I can't find the exact solution…
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Resources on Quantum Linear Solvers (e.g., HHL) and Their Application to Differential Equations

I am currently writing my Bachelor’s thesis on Quantum Algorithms for Solving Differential Equations. I have a background in both differential equations (including partial differential equations) and quantum algorithms from my coursework. One…
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QuTiP tutorial: How to derive the analytical solution to the expectation value of an operator for a system evolving by Lindbladian

I am following the simple tutorial below: (https://nbviewer.org/urls/qutip.org/qutip-tutorials/tutorials-v5/time-evolution/003_qubit-dynamics.ipynb) In this they look at single qubit with Hamiltonian $H = \frac{\Delta}{2}\sigma_{x}$ and 1 jump…
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Can I use cloud quantum computing now to solve perturbation theory equations?

I am a physics student and I understand C++ programming. I would like to try quantum cloud computing for my master's thesis. Can I write an algorithm or software code and apply it to quantum perturbation theory? How hard would it be to learn that?