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Reversible circuits have been studied extensively and intensively, and have plenty of applications in various areas, such as digital signal processing, cryptography, and especially quantum computing. In 2003, the lower bound $\Omega(2^n…

量子物理 · 物理学 2024-11-19 Xian Wu Lvzhou Li

Reversibility is a key issue in the interface between computation and physics, and of growing importance as miniaturization progresses towards its physical limits. Most foundational work on reversible computing to date has focussed on…

计算机科学中的逻辑 · 计算机科学 2011-12-01 Samson Abramsky

Using error correcting codes and fault tolerant techniques, it is possible, at least in theory, to produce logical qubits with significantly lower error rates than the underlying physical qubits. Suppose, however, that the gates that act on…

量子物理 · 物理学 2016-12-06 M. B. Hastings

In this paper, the authors propose the idea of a combined integer and floating point multiplier(CIFM) for FPGAs. The authors propose the replacement of existing 18x18 dedicated multipliers in FPGAs with dedicated 24x24 multipliers designed…

硬件体系结构 · 计算机科学 2016-11-17 Himanshu Thapliyal , Hamid R. Arabnia , A. P Vinod

We assess the resources needed to identify a reversible quantum gate among a finite set of alternatives, including in our analysis both deterministic and probabilistic strategies. Among the probabilistic strategies we consider unambiguous…

量子物理 · 物理学 2014-09-15 Giulio Chiribella , Giacomo Mauro D'Ariano , Martin Roetteler

Partial Reconfiguration (PR) is a technique that allows reconfiguring the FPGA chip at runtime. However, current design support tools require manual floorplanning of the partial modules. Several approaches have been proposed in this field,…

硬件体系结构 · 计算机科学 2019-04-25 Norbert Deak , Octavian Creţ , Horia Hedeşiu

In this dissertation, we study two of the global properties of 1-dimensional cellular automata (CAs) under periodic boundary condition, namely, reversibility and randomness. To address reversibility of finite CAs, we develop a mathematical…

形式语言与自动机理论 · 计算机科学 2019-11-12 Kamalika Bhattacharjee

In this study, we construct the quantum reversible counterparts of the logical AND, OR, XOR, NOR, and NAND gates. We utilize a quantum Fourier transform (QFT)-based adder circuit that replicates the functionality of a digital half-adder,…

量子物理 · 物理学 2025-04-25 Ayda Kaltehei , Murat Kurt , Azmi Gençten , Selçuk Çakmak

Reversible computation is an emerging technology that has gained significant attention due to its critical role in quantum circuit synthesis and low-power design. This paper introduces a transformation-based method for exact synthesis of…

量子物理 · 物理学 2025-04-28 Moein Sarvaghad-Moghaddam , Morteza Saheb Zamani , Mehdi Sedighi

In this paper, we present a general reconfigurable multiple-valued logic circuit. The proposed architecture is based on threshold logic gate and is compatible with binary logic, which allows a designer to easily integrate multiple valued…

信号处理 · 电气工程与系统科学 2024-04-10 Ahmet Unutulmaz , Cem Ünsalan

Researchers developed about a dozen semiconductor reversible (or adiabatic) logic chips since the early 1990s, validating circuit designs and proving the concept--but scale up required a further advance. This document shows that cryogenic…

新兴技术 · 计算机科学 2025-04-18 Erik P. DeBenedictis

Successful implementation of a fault-tolerant quantum computation on a system of qubits places severe demands on the hardware used to control the many-qubit state. It is known that an accuracy threshold $P_{a}$ exists for any quantum gate…

量子物理 · 物理学 2014-08-18 Yuchen Peng , Frank Gaitan

In this paper, reversible circuits consisting of NOT, CNOT and 2-CNOT gates are studied. Several asymptotically optimal by the order of magnitude synthesis methods are described. Some circuit's complexity reduction approaches are…

新兴技术 · 计算机科学 2018-06-05 Dmitry V. Zakablukov

New computing technologies are being sought near the end of CMOS transistor scaling, meanwhile superconducting digital, i.e., single-flux quantum (SFQ), logic allows incredibly efficient gates which are relevant to the impending transition.…

介观与纳米尺度物理 · 物理学 2018-11-16 Kevin D. Osborn , Waltraut Wustmann

Probabilistic storage and retrieval (PSR) of unitary quantum dynamics is possible with exponentially small failure probability with respect to the number of systems used as a quantum memory [PRL 122, 170502 (2019)]. Here we study…

量子物理 · 物理学 2020-09-23 Michal Sedlák , Mário Ziman

We present a novel set of reversible modular multipliers applicable to quantum computing, derived from three classical techniques: 1) traditional integer division, 2) Montgomery residue arithmetic, and 3) Barrett reduction. Each multiplier…

量子物理 · 物理学 2018-01-04 Rich Rines , Isaac Chuang

Quantum computers are expected to bring drastic acceleration to several computing tasks against classical computers. Noisy intermediate-scale quantum (NISQ) devices, which have tens to hundreds of noisy physical qubits, are gradually…

量子物理 · 物理学 2024-08-28 Yutaro Akahoshi , Kazunori Maruyama , Hirotaka Oshima , Shintaro Sato , Keisuke Fujii

In randomized benchmarking of quantum logical gates, partial twirling can be used for simpler implementation, better scaling, and higher accuracy and reliability. For instance, for two-qubit gates, single-qubit twirling is easier to realize…

量子物理 · 物理学 2022-06-22 Kirill Dubovitskii , Yuriy Makhlin

Over the last four decades, the amazing success of deep learning has been driven by the use of Stochastic Gradient Descent (SGD) as the main optimization technique. The default implementation for the computation of the gradient for SGD is…

神经与进化计算 · 计算机科学 2024-12-31 Qianli Liao , Liu Ziyin , Yulu Gan , Brian Cheung , Mark Harnett , Tomaso Poggio

We present an efficient proposal for error-rejecting quantum computing with quantum dots (QD) embedded in single-sided optical microcavities based on the interface between the circularly polarized photon and QDs. An almost unity fidelity of…

量子物理 · 物理学 2017-01-03 Tao Li , Fu-Guo Deng