Steven CarneiroQuandoom:
#doom #quantumsimulator #quantumcomputing #experimental #videogames
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Dr. P. M. Secular#Supercomputer vs. #QuantumSimulator!
In case you missed it a couple of weeks back, here's my latest preprint titled "Classical verification of a quantum simulator: local relaxation of a 1D Bose gas": https://arxiv.org/abs/2401.05301
Classical verification of a quantum simulator: local relaxation of a 1D Bose gas
In [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.
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.
https://scirate.com/arxiv/2401.05301
#ScientificProcess #QuantumSimulator #QuantumSimulation #QuantumAdvantage #science #ClassicalVerification #ComputationalPhysics #ParallelComputing #HPC #HighPerfomanceComputing #supercomputer #TensorNetworks #MatrixProductStates #TEBD
Classical verification of a quantum simulator: local relaxation of a 1D Bose gas
In [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.