Results 71 to 80 of about 34,743 (255)

Discrete fractional Hadamard transform [PDF]

ISCAS'99. Proceedings of the 1999 IEEE International Symposium on Circuits and Systems VLSI (Cat. No.99CH36349), 2003
Hadamard transform is an important tool in discrete signal processing. In this paper, we define the discrete fractional Hadamard transform which is a generalized one. The development of discrete fractional Hadamard is based upon the same spirit as that of the discrete fractional Fourier transform.
Pei, Soo-Chang, Yeh, Min-Hung
openaire   +3 more sources

On the Hadamard product of Hopf monoids

, 2012
Combinatorial structures which compose and decompose give rise to Hopf monoids in Joyal's category of species. The Hadamard product of two Hopf monoids is another Hopf monoid. We prove two main results regarding freeness of Hadamard products.
Aguiar, Aguiar, Bergeron, Loday, Marcelo Aguiar, Poirier, Speicher, Swapneel Mahajan   +7 more
core   +2 more sources

Statistical Complexity of Quantum Learning

Advanced Quantum Technologies, EarlyView.
The statistical performance of quantum learning is investigated as a function of the number of training data N$N$, and of the number of copies available for each quantum state in the training and testing data sets, respectively S$S$ and V$V$. Indeed, the biggest difference in quantum learning comes from the destructive nature of quantum measurements ...
Leonardo Banchi, Jason Luke Pereira, Sharu Theresa Jose, Osvaldo Simeone   +3 more
wiley   +1 more source

On a New Class of Meromorphic Univalent Function Associated with Dziok_Srivastava Operator

Journal of Kufa for Mathematics and Computer, 2014
In this paper, we introduce and study a new class of meromorphic Univalent functions defined by Dziok_Srivastava operator for this class. We obtain coefficient inequality, convex set, closure and Hadamard product (or convolution).Further we obtain a(n,δ
Waggas Galib Atshan, Abdul Jalil G. Khalaf   +1 more
doaj   +1 more source

Hadamard-transform fluorescence-lifetime imaging

Optics Express, 2016
We discuss a Hadamard-transform-based fluorescence-lifetime-imaging (HT-FLI) technique for fluorescence-lifetime-imaging microscopy (FLIM). The HT-FLI uses a Fourier-transform phase-modulation fluorometer (FT-PMF) for fluorescence-lifetime measurements, where the modulation frequency of the excitation light is swept linearly in frequency from zero to a
Mizuno, Takahiko, Iwata, Tetsuo
openaire   +3 more sources

What can we Learn from Quantum Convolutional Neural Networks?

Advanced Quantum Technologies, EarlyView.
Quantum Convolutional Neural Networks have been long touted as one of the premium architectures for quantum machine learning (QML). But what exactly makes them so successful for tasks involving quantum data? This study unlocks some of these mysteries; particularly highlighting how quantum data embedding provides a basis for superior performance in ...
Chukwudubem Umeano, Annie E. Paine, Vincent E. Elfving, Oleksandr Kyriienko   +3 more
wiley   +1 more source

Universal quantum computation with unlabeled qubits

, 2006
We show that an n-th root of the Walsh-Hadamard transform (obtained from the Hadamard gate and a cyclic permutation of the qubits), together with two diagonal matrices, namely a local qubit-flip (for a fixed but arbitrary qubit) and a non-local phase ...
Aharonov D, Ambainis A, Deutsch D, Heydemann M-C, Mukherjee B, Shi Y, Simone Severini, Sloane N J A, Tanner G   +8 more
core   +1 more source

Open and Closed Loop Approaches for Energy Efficient Quantum Optimal Control

Advanced Quantum Technologies, EarlyView.
Concepts from quantum thermodynamics and optimal control are blended to derive a theoretical framework to quantify and minimize the energetic cost of a pulse for unitary synthesis. Two complementary techniques (based on GRAPE and Reinforce‐DRL) are implemented as open‐source software that co‐optimizes the fidelity and energetic cost within quantum ...
Sebastiaan Fauquenot, Aritra Sarkar, Sebastian Feld   +2 more
wiley   +1 more source

Quantum walks in higher dimensions

, 2002
We analyze the quantum walk in higher spatial dimensions and compare classical and quantum spreading as a function of time. Tensor products of Hadamard transformations and the discrete Fourier transform arise as natural extensions of the quantum coin ...
Aharonov D, Aharonov Y, Ambainis A, B C Sanders, Gardiner C W, L T Stephenson, Moore C, Nielsen M A, S D Bartlett, T D Mackay   +9 more
core   +1 more source

Q‐fid: Quantum Circuit Fidelity Improvement with LSTM Networks

Advanced Quantum Technologies, EarlyView.
Q‐fid is introduced, an LSTM‐based fidelity prediction system accompanied by a novel metric designed to quantify the fidelity of quantum circuits. This approach frames fidelity prediction as a Time Series Forecasting problem to analyze the tokenized circuits, capturing the causal dependence of the gate sequences and their impact on overall fidelity ...
Yikai Mao, Shaswot Shresthamali, Masaaki Kondo   +2 more
wiley   +1 more source