Zobrazeno 1 - 10
of 22
pro vyhledávání: '"Kuklinski, Parker"'
Autor:
Kuklinski, Parker, Rempfer, Benjamin
The Fast Approximate BLock-Encoding algorithm (FABLE) is a technique to block-encode arbitrary $N\times N$ dense matrices into quantum circuits using at most $O(N^2)$ one and two-qubit gates and $\mathcal{O}(N^2\log{N})$ classical operations. The met
Externí odkaz:
http://arxiv.org/abs/2401.04234
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 rigorously prove the formula and extend the classical result to a family o
Externí odkaz:
http://arxiv.org/abs/2201.00630
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 Fourier Transform (GFT). The line graph has a GFT that is a direct analog
Externí odkaz:
http://arxiv.org/abs/1910.09617
Autor:
Hague, David A., Kuklinski, Parker S.
Publikováno v:
2019 IEEE Radar Conference (RadarConf), 2019, pp. 1-6
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 [Tomisawa, 1981]. The MT-FFM utilizes a collection of $K$ harmonically r
Externí odkaz:
http://arxiv.org/abs/1910.03048
Autor:
Kuklinski, Parker
Publikováno v:
Phys. Rev. A 101, 032309 (2020)
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 partially reflects information, as observed by absorption probability co
Externí odkaz:
http://arxiv.org/abs/1909.12680
Autor:
Kuklinski, Parker, Hague, David A.
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 extensively in the literature and have found application in laser physi
Externí odkaz:
http://arxiv.org/abs/1908.11683
Autor:
Kuklinski, Parker, Kon, Mark
Publikováno v:
Quantum Information Processing 17.10 (2018): 263
Quantum walks are known to have nontrivial interaction with absorbing boundaries. In particular, Ambainis et.\ al.\ \cite{ambainis01} showed that in the $(\Z ,C_1,H)$ quantum walk (one-dimensional Hadamard walk) an absorbing boundary partially reflec
Externí odkaz:
http://arxiv.org/abs/1905.04239
Autor:
Kuklinski, Parker, Kon, Mark
Publikováno v:
EPTCS 315, 2020, pp. 59-73
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 stationary phase approximations, precise asymptotics have been derived for on
Externí odkaz:
http://arxiv.org/abs/1905.00057
Autor:
Kuklinski, Parker Samuel
The quantum walk is a unitary analogue to the discrete random walk, and its properties have been increasingly studied since the turn of the millennium. In comparison with the classical random walk, the quantum walk exhibits linear spreading and initi
Externí odkaz:
https://hdl.handle.net/2144/27080
Publikováno v:
Quantum Inf Process (2016) 15: 3573
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 and finite line. Analytical expressions for these absorbing probabiliti
Externí odkaz:
http://arxiv.org/abs/1601.08122