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This dissertation explores block decomposable methods for large-scale optimization problems. It focuses on alternating direction method of multipliers (ADMM) schemes and block coordinate descent (BCD) methods. Specifically, it introduces a…

Optimization and Control · Mathematics 2026-01-15 Leandro Farias Maia

Quantum modular adders are one of the most fundamental yet versatile quantum computation operations. They help implement functions of higher complexity, such as subtraction and multiplication, which are used in applications such as quantum…

Quantum Physics · Physics 2024-06-12 Bhaskar Gaur , Himanshu Thapliyal

We present the design of a quantum carry-lookahead adder using measurement-based quantum computation. QCLA utilizes MBQC`s ability to transfer quantum states in unit time to accelerate addition. The quantum carry-lookahead adder (QCLA) is…

Quantum Physics · Physics 2009-03-04 Agung Trisetyarso , Rodney Van Meter , Kohei M. Itoh

We present a new asynchronous quasi-delay-insensitive (QDI) block carry lookahead adder with redundancy carry (BCLARC) realized using delay-insensitive dual-rail data encoding and 4-phase return-to-zero (RTZ) and 4-phase return-to-one (RTO)…

Hardware Architecture · Computer Science 2019-03-25 P. Balasubramanian , D. L. Maskell , N. E. Mastorakis

This article presents two area/latency optimized gate level asynchronous full adder designs which correspond to early output logic. The proposed full adders are constructed using the delay-insensitive dual-rail code and adhere to the…

Hardware Architecture · Computer Science 2016-04-15 P Balasubramanian , S Yamashita

In the recent years, reversible logic has emerged as a promising technology having its applications in low power CMOS, quantum computing, nanotechnology, and optical computing. The classical set of gates such as AND, OR, and EXOR are not…

Hardware Architecture · Computer Science 2007-05-23 Himanshu Thapliyal , M. B Srinivas

A scalable superconducting architecture for adiabatic quantum computers is proposed. The architecture is based on time-independent, nearest-neighbor interqubit couplings: it can handle any problem in the class NP even in the presence of…

Quantum Physics · Physics 2007-05-23 William M. Kaminsky , Seth Lloyd , Terry P. Orlando

Quantum optimization as a field has largely been restricted by the constraints of current quantum computing hardware, as limitations on size, performance, and fidelity mean most non-trivial problem instances won't fit on quantum devices.…

Quantum Physics · Physics 2024-05-03 Ibrahim Cameron , Teague Tomesh , Zain Saleem , Ilya Safro

A complex digital circuit comprises of adder as a basic unit. The performance of the circuit depends on the design of this basic adder unit. The speed of operation of a circuit is one of the important performance criteria of many digital…

Hardware Architecture · Computer Science 2016-03-22 Aribam Balarampyari Devi , Manoj Kumar , Romesh Laishram

Circuit design based on Quantum-dots Cellular Automata technology offers power-efficiency and nano-size circuits. It is an attractive alternative to CMOS technology. The XOR gate is a widely used building element in arithmetic circuits. An…

Emerging Technologies · Computer Science 2024-12-30 Behrouz Safaiezadeh , Majid Haghparast , Lauri Kettunen

In this paper, we establish the convergence of the proximal alternating direction method of multipliers (ADMM) and block coordinate descent (BCD) for nonseparable minimization models with quadratic coupling terms. The novel convergence…

Optimization and Control · Mathematics 2017-03-16 Caihua Chen , Min Li , Xin Liu , Yinyu Ye

Quantum circuits of many qubits are extremely difficult to realize; thus, the number of qubits is an important metric in a quantum circuit design. Further, scalable and reliable quantum circuits are based on Clifford + T gates. An efficient…

Quantum Physics · Physics 2017-06-19 Edgard Muñoz-Coreas , Himanshu Thapliyal

This paper presents the design of scalable quantum networks that utilize optical switches to interconnect multiple quantum processors, facilitating large-scale quantum computing. By leveraging these novel architectures, we aim to address…

In this work, we propose an adder for the 2D NTC architecture, designed to match the architectural constraints of many quantum computing technologies. The chosen architecture allows the layout of logical qubits in two dimensions and the…

Quantum Physics · Physics 2012-09-17 Byung-Soo Choi , Rodney Van Meter

We consider the problem of constructing fast and small parallel prefix adders for non-uniform input arrival times. This problem arises whenever the adder is embedded into a more complex circuit, e. g. a multiplier. Most previous results are…

Hardware Architecture · Computer Science 2014-11-12 Stephan Held , Sophie Spirkl

Reversible sequential circuits are going to be the significant memory blocks for the forthcoming computing devices for their ultra low power consumption. Therefore design of various types of latches has been considered a major objective for…

Emerging Technologies · Computer Science 2014-07-29 Md. Selim Al Mamun , David Menville

Qutrit (or ternary) structures arise naturally in many quantum systems, particularly in certain non-abelian anyon systems. We present efficient circuits for ternary reversible and quantum arithmetics. Our main result is the derivation of…

Quantum Physics · Physics 2016-06-13 Alex Bocharov , Shawn X. Cui , Martin Roetteler , Krysta M. Svore

Reversible logic design has become one of the promising research directions in low power dissipating circuit design in the past few years and has found its application in low power CMOS design, digital signal processing and nanotechnology.…

Hardware Architecture · Computer Science 2012-05-04 Md. Saiful Islam , Muhammad Mahbubur Rahman , Zerina Begum , Mohd. Zulfiquar Hafiz

We present the design of a quantum carry-lookahead adder using measurement-based quantum computation. The quantum carry-lookahead adder (QCLA) is faster than a quantum ripple-carry adder; QCLA has logarithmic depth while ripple adders have…

Quantum Physics · Physics 2009-01-27 Agung Trisetyarso , Rodney Van Meter , Kohei M. Itoh

Deep neural networks are widely deployed in many fields. Due to the in-situ computation (known as processing in memory) capacity of the Resistive Random Access Memory (ReRAM) crossbar, ReRAM-based accelerator shows potential in accelerating…

Hardware Architecture · Computer Science 2024-03-11 Chenguang Zhang , Zhihang Yuan , Xingchen Li , Guangyu Sun