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#quantumsimulation

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Mr. P. M. Secular

Interested in #QuantumMechanics, #QuantumSimulation, or #TensorNetworks? Well, check out my #PhD thesis:

"Parallel Tensor Network Methods for Quantum Lattice Systems: Matrix Product State Simulations on a Supercomputer"

Available to download from my personal website: secular.me.uk/

Because of the growing multidisciplinary interest in tensor networks, I've tried to make the #thesis as self-contained as possible. I am hoping it will be useful for #Physics, #Chemistry, #Mathematics, and #ComputerScience graduates meeting tensor networks for the first time. It features 700+ references, 100+ figures, 15 epigraphs, and a list of eponyms!

www.secular.me.ukP. M. SecularThe personal website of P. M. Secular including his research on tensor networks, quantum mechanics, and physics education.
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Mr. P. M. Secular

Independent verification of results is an important part of the #scientific process. However - in #physics at least - #replication and #verification studies rarely seem to be published. Despite this, I decided to attempt to verify the results of a groundbreaking Nature Physics paper from 2012, in which the authors describe the first dynamical #quantum #simulator. You can read the fruits of my labour in my #arxiv preprint: "Classical verification of a quantum simulator: local relaxation of a 1D Bose gas". I hope you find it interesting.

scirate.com/arxiv/2401.05301

SciRateClassical verification of a quantum simulator: local relaxation of a 1D Bose gasIn [Nat. Phys. 8, 325-330 (2012)], Trotzky et al. utilize ultracold atoms in an optical lattice to simulate the local relaxation dynamics of a strongly interacting Bose gas "for longer times than present classical algorithms can keep track of". Here, I classically verify the results of this analog quantum simulator by calculating the evolution of the same quasi-local observables up to the time at which they appear "fully relaxed". Using a parallel implementation of the time-evolving block decimation (TEBD) algorithm to simulate the system on a supercomputer, I show that local densities and currents can be calculated in a matter of days rather than weeks. The precision of these numerics allows me to observe deviations from the conjectured power-law decay and to determine the effects of the harmonic trapping potential. As well as providing a robust benchmark for future experimental, theoretical, and numerical methods, this work serves as an example of the independent verification process.
#ScientificProcess#QuantumSimulator#QuantumSimulation
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Markus Heyl

Making Trotterization Adaptive and Energy-Self-Correcting for NISQ Devices and Beyond

Digital quantum simulation requires time discretization by means of Trotterization. A finer time step improves simulation precision but inevitably leads to increased experimental errors for today’s noisy intermediate-scale quantum computers. Check out in our recent publication how to make Trotterization adaptive:

journals.aps.org/prxquantum/ab

Image taken from https://journals.aps.org/prxquantum/abstract/10.1103/PRXQuantum.4.030319
#quantumsimulation#nisq#quantumcomputer
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