From the 1 of 7 linked papers with an AI index.
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Improved Convergence of Carleman-Embedded Quantum Algorithm for the Vlasov-Poisson System
Matthew Christensen, Tom Goffrey, Animesh Datta
The paper improves the convergence analysis of a Carleman-embedded quantum algorithm for solving the Vlasov‑Poisson equations, providing analytical and numerical bounds and examini…
Signatures of a gravitational quantum vacuum on dynamics of massive particles
Aaron R. Malcolm, Zhi-Wei Wang, B. Sharmila +1
We study the interaction of two massive particles with a quantised gravitational field in its vacuum state using two different position observables: (i) a frame-dependent coordinat…
Solving the Nonlinear Vlasov Equation on a Quantum Computer
Tamás Vaszary, Animesh Datta, Tom Goffrey +1
We present a mapping of the nonlinear, electrostatic Vlasov equation with Krook-type collision operators, discretized on a (1+1) dimensional grid, onto a recent Carleman linearizat…
A Review and Collection of Metrics and Benchmarks for Quantum Computers: definitions, methodologies and software
Deep Lall, Abhishek Agarwal, Weixi Zhang +15
Quantum computers have the potential to provide an advantage over classical computers in a number of areas. Numerous metrics to benchmark the performance of quantum computers, rang…
Quantum Channel Testing in Average-Case Distance
Gregory Rosenthal, Hugo Aaronson, Sathyawageeswar Subramanian +2
We study the complexity of testing properties of quantum channels. First, we show that testing identity to any channel $\mathcal N: \mathbb C^{d_{\mathrm{in}} \times d_{\mathrm{in}…
Detecting quantum vacuum fluctuations of the electromagnetic field
Aaron Malcolm, B. Sharmila, Zhi-Wei Wang +1
Quantum vacuum fluctuations of the electromagnetic field result in two signatures on a harmonically trapped charged particle: a shift from the natural trap frequency and generation…