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In classical case there is simplest method of error correction with using three equal bits instead of one. In the paper is shown, how the scheme fails for quantum error correction with complex vector spaces of usual quantum mechanics, but…

Quantum Physics · Physics 2007-05-23 Alexander Yu. Vlasov

Two arrays form a periodic complementary pair if the sum of their periodic autocorrelations is a delta function. Finding such pairs, however, is challenging for large arrays whose entries are constrained to a small alphabet. One such…

Signal Processing · Electrical Eng. & Systems 2020-04-29 Nitin Jonathan Myers , Robert W. Heath

Quadratic Unconstrained Binary Optimization (QUBO) is a broad class of optimization problems with many practical applications. To solve its hard instances in an exact way, known classical algorithms require exponential time and several…

Quantum Physics · Physics 2021-01-21 Gian Giacomo Guerreschi

We present a new linear-depth ripple-carry quantum addition circuit. Previous addition circuits required linearly many ancillary qubits; our new adder uses only a single ancillary qubit. Also, our circuit has lower depth and fewer gates…

Quantum Physics · Physics 2007-05-23 Steven A. Cuccaro , Thomas G. Draper , Samuel A. Kutin , David Petrie Moulton

Quantum annealing may provide advantages over simulated annealing on solving some problems such as Kth order binary optimization problem. No feasible architecture exists to implement the high-order optimization problem (K > 2) on current…

Quantum Physics · Physics 2016-05-13 Yong-Chao Tang , Guo-Xing Miao

Independently developed codebases typically contain many segments of code that perform same or closely related operations (semantic clones). Finding functionally equivalent segments enables applications like replacing a segment by a more…

Software Engineering · Computer Science 2017-12-01 Vaibhav Sharma , Kesha Hietala , Stephen McCamant

This paper presents a novel way to use the algebra of unit quaternions to express arbitrary roots or fractional powers of single-qubit gates, and to use such fractional powers as generators for algebras that combine these fractional input…

Quantum Physics · Physics 2022-05-02 Dominic Widdows

Wire cutting is a technique for partitioning large quantum circuits into smaller subcircuits in such a way that observables for the original circuits can be estimated from measurements on the smaller subcircuits. Such techniques provide…

Quantum Physics · Physics 2023-03-16 Edwin Pednault

Quantum Fourier Transform (QFT) plays a principal role in the development of efficient quantum algorithms. Since the number of quantum bits that can currently built is limited, while many quantum technologies are inherently three- (or more)…

Quantum Physics · Physics 2007-05-23 Zeljko Zilic , Katarzyna Radecka

Adaptive modulation and coding (AMC) is widely employed in modern wireless communication systems to improve the transmission efficiency by adjusting the transmission rate according to the channel conditions. Thus, AMC can provide very…

Signal Processing · Electrical Eng. & Systems 2017-12-21 Zhe Yang , Lin Cai , Aaron Gulliver , Liang He , Jianping Pan

Three-dimensional integration technologies such as flip-chip bonding are a key prerequisite to realize large-scale superconducting quantum processors. Modular architectures, in which circuit elements are spread over multiple chips, can…

For 5G it will be important to leverage the available millimeter wave spectrum. To achieve an approximately omni- directional coverage with a similar effective antenna aperture compared to state of the art cellular systems, an antenna array…

Information Theory · Computer Science 2018-07-04 Kilian Roth , Hessam Pirzadeh , A. Lee Swindlehurst , Josef A. Nossek

Recently memristor-based applications and circuits are receiving an increased attention. Furthermore, memristors are also applied in logic circuit design. Material implication logic is one of the main areas with memristors. In this paper an…

Emerging Technologies · Computer Science 2015-01-06 Mehri Teimoory , Amirali Amirsoleimani , Jafar Shamsi , Arash Ahmadi , Shahpour Alirezaee , Majid Ahmadi

In multi-source sequence-to-sequence tasks, the attention mechanism can be modeled in several ways. This topic has been thoroughly studied on recurrent architectures. In this paper, we extend the previous work to the encoder-decoder…

Computation and Language · Computer Science 2018-11-13 Jindřich Libovický , Jindřich Helcl , David Mareček

Quantum computers are a revolutionary class of computational platforms with applications in combinatorial and global optimization, machine learning, and other domains involving computationally hard problems. While these machines typically…

Quantum Physics · Physics 2026-04-21 Aditya Sodhani , Keshab K. Parhi

During recent years, quantum computers have received increasing attention, primarily due to their ability to significantly increase computational performance for specific problems. Computational performance could be improved for…

Quantum Physics · Physics 2024-11-12 Ludger Leenders , Martin Sollich , Christiane Reinert , André Bardow

At BESSY the standard 16 bit resolution of the corrector power supplies was insufficient for the continous orbit drift correction. A new sophisticated design of the analog/digital I/O board increases the resolution of the analog output up…

Accelerator Physics · Physics 2007-05-23 K. Buerkmann , B. Franksen , R. Lange , I. Mueller , R. Mueller , J. Rahn , T. Schneegans , G. v. Egan

In general, if there is one device A with the same performance as many devices B, it would be better to replace many devices with one device. In order to determine the number of devices that can be reduced, it is important to determine the…

Information Theory · Computer Science 2019-05-30 Kiminori Iriyama

Geometric objects are primarily represented using curves and surfaces and the subdivision schemes are the basic tools for these representations. This study is based on a new thought that there is a special relation between the binary and…

General Mathematics · Mathematics 2023-05-15 Rabia Hameed , Sidra Nosheen

This paper presents an analysis of the energy consumption of an extensive number of the optimisations a modern compiler can perform. Using GCC as a test case, we evaluate a set of ten carefully selected benchmarks for five different…

Performance · Computer Science 2014-01-27 James Pallister , Simon Hollis , Jeremy Bennett
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