Results 131 to 140 of about 2,578 (158)
Deep Insight into Fine-Tuning the Structure Affecting the Extraction Sequence of Metal Cations by Phosphorylcarboxylic Acids: A Quantum Chemistry Study. [PDF]
ACS OmegaZhang X, Zhang X, Du W, Liu X, Liao W.
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Experimental Demonstration of Correlation-Assisted Energy Extraction Gain. [PDF]
Entropy (Basel)Stahl A +5 more
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Topological Decompositions of the Pauli Group and Their Influence on Dynamical Systems [PDF]
Mathematical Physics Analysis and Geometry, 2021 AbstractIn the present paper we show that it is possible to obtain the well known Pauli groupP= 〈X,Y,Z|X2=Y2=Z2= 1,(YZ)4= (ZX)4= (XY)4= 1〉 of order 16 as an appropriate quotient group of two distinct spaces of orbits of the three dimensional sphereS3.
Yanga Bavuma +2 more
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Preparing a Fast Pauli Decomposition for Variational Quantum Solving Linear Equations
Annalen Der Physik, 2023AbstractSolving linear equations is a basic and significant mathematical task, and it can be executed by variational quantum algorithm (VQA) with quantum advantages by leveraging near‐term quantum device and classical optimizer. In the above algorithm, the coefficient matrix should be decomposed first but slowly with the traditional method, for ...
Yu-Bo Sheng, Ming-Ming Du, Jia-Wei Ying
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Decomposition Algorithm of an Arbitrary Pauli Exponential Through a Quantum Circuit
2023 IEEE International Conference on Quantum Computing and Engineering (QCE), 2023 We review the staircase algorithm to decompose the exponential of a generalized Pauli matrix and we propose two alternative recursive methods which offer more efficient quantum circuits. The first algorithm we propose, defined as the inverted staircase algorithm, is more efficient in comparison to the standard staircase algorithm in the number of one ...
Claudia Linnhoff-Popien
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Tensorized Pauli Decomposition Algorithm
Physica ScriptaAbstract This paper introduces a novel general-purpose algorithm for Pauli decomposition that employs matrix slicing and addition rather than expensive matrix multiplication, significantly accelerating the decomposition of multi-qubit matrices. In a detailed complexity analysis, we show that the algorithm admits the best known worst-case
Lukas Hantzko, Lennart Bińkowski
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Optimal, Hardware Native Decomposition of Parameterized Multi-Qubit Pauli Gates
Quantum Science and Technology, 2023 Abstract We show how to efficiently decompose a parameterized multi-qubit Pauli (PMQP) gate into native parameterized two-qubit Pauli (P2QP) gates minimizing both the circuit depth and the number of P2QP gates. Given a realistic quantum computational model, we argue that the technique is optimal in terms of the number of hardware native ...
P V Sriluckshmy +5 more
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Decomposition of Diagonal Hermitian Quantum Gates Using Multiple-Controlled Pauli Z Gates [PDF]
ACM Journal on Emerging Technologies in Computing Systems, 2014 Quantum logic decomposition refers to decomposing a given quantum gate to a set of physically implementable gates. An approach has been presented to decompose arbitrary diagonal quantum gates to a set of multiplexed-rotation gates around z axis.
Morteza Saheb Zamani +2 more
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