12 citations · 31 across the 15 of their papers we have counts for
15 papers
Harmonic sequence state-preparation
Benjamin Rempfer, Parker Kuklinski, Justin Elenewski +1
We demonstrate an efficient circuit to prepare a quantum state with amplitudes proportional to a harmonic sequence. We do this by first preparing a large quantum state with linearl…
Efficient block-encodings require structure
Parker Kuklinski, Benjamin Rempfer, Justin Elenewski +1
Block-encodings are ubiquitous in quantum computing as a way to represent data within a unitary operator. While several unstructured methods are applicable to arbitrary data, these…
A simpler Gaussian state-preparation
Parker Kuklinski, Benjamin Rempfer, Kevin Obenland +1
The ability to efficiently state-prepare Gaussian distributions is critical to the success of numerous quantum algorithms. The most popular algorithm for this subroutine (Kitaev-We…
Detailed assessment of calculating drag force with quantum computers: Explicit time-evolution precludes exponential advantage for nonlinear differential equations
John Penuel, Amara Katabarwa, Peter D. Johnson +5
This study examines the potential for fault-tolerant quantum computers to provide utility in fluid dynamics simulations, with a focus on drag force calculations for ship hull desig…
S-FABLE and LS-FABLE: Fast approximate block-encoding algorithms for unstructured sparse matrices
Parker Kuklinski, Benjamin Rempfer
The Fast Approximate BLock-Encoding algorithm (FABLE) is a technique to block-encode arbitrary dense matrices into quantum circuits using at most one and two-q…
An uncountable union of line segments with null two-dimensional measure
Parker Kuklinski
In this paper we construct an uncountable union of line segments which has full intersection with the sets $(\{ 0\} \times [0, 1]) \cup (\{ 1\} \times [0, 1])\subset\mathbb{R}^…
Blind Number Sequencing
Parker Kuklinski, Nick Vogel
A popular challenge on the social media app TikTok is to place the output of a random number generator in ascending order without arriving at a contradiction. Most players rely on…
A Generalized Lerche-Newberger Formula
Parker Kuklinski, Michael Warnock, David A. Hague
The Lerche-Newberger formula simplifies harmonic sums of Bessel functions and has seen application in plasma physics and frequency modulated quantum systems. In this paper, we rigo…
Spectral Perturbations of the Line Graph Laplacian
Ian M. T. Rooney, Parker S. Kuklinski, David A. Hague
The graph Laplacian is an important tool in Graph Signal Processing (GSP) as its eigenvalue decomposition acts as an analogue to the Fourier transform and is known as the Graph Fou…
Waveform Design using Multi-Tone Feedback Frequency Modulation
David A. Hague, Parker S. Kuklinski
This paper introduces a waveform design method using Multi-Tone Feedback Frequency Modulation (MT-FFM), a generalization of the single oscillator feedback FM method developed by [T…
Conditional Probability Distributions of Finite Absorbing Quantum Walks
Parker Kuklinski
Quantum walks are known to have nontrivial interactions with absorbing boundaries. In particular it has been shown that an absorbing boundary in the one dimensional quantum walk pa…
Identities and Properties of Multi-Dimensional Generalized Bessel Functions
Parker Kuklinski, David A. Hague
The Generalized Bessel Function (GBF) extends the single variable Bessel function to several dimensions and indices in a nontrivial manner. Two-dimensional GBFs have been studied e…
Absorption Probabilities of Quantum Walks
Parker Kuklinski, Mark Kon
Quantum walks are known to have nontrivial interaction with absorbing boundaries. In particular, Ambainis et.\ al.\ \cite{ambainis01} showed that in the quantum walk…
Bifurcation Curves of Two-Dimensional Quantum Walks
Parker Kuklinski, Mark Kon
The quantum walk differs fundamentally from the classical random walk in a number of ways, including its linear spreading and initial condition dependent asymmetries. Using station…
Grover Walks on a Line with Absorbing Boundaries
Kun Wang, Nan Wu, Parker Kuklinski +3
In this paper, we study Grover walks on a line with one and two absorbing boundaries. In particular, we present some results for the absorbing probabilities both in a semi-finite a…