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We show how to support efficient back traversal in a unidirectional list, using small memory and with essentially no slowdown in forward steps. Using $O(\log n)$ memory for a list of size $n$, the $i$'th back-step from the farthest point…

Data Structures and Algorithms · Computer Science 2009-09-29 Yossi Matias , Ely Porat

Memoryless computation is a new technique to compute any function of a set of registers by updating one register at a time while using no memory. Its aim is to emulate how computations are performed in modern cores, since they typically…

Computational Complexity · Computer Science 2013-10-23 Peter J. Cameron , Ben Fairbairn , Maximilien Gadouleau

In the field of cryptography till date the 1-byte in 1-clock is the best known RC4 hardware design [1], while the 1-byte in 3clocks is the best known implementation [2,3]. The design algorithm in [1] considers two consecutive bytes together…

Hardware Architecture · Computer Science 2012-07-30 Rourab Paul , Sangeet Saha , Jkm Sadique Uz Zaman , Suman Das , Amlan Chakrabarti , Ranjan Ghosh

We study sorting of permutations by random swaps if each comparison gives the wrong result with some fixed probability $p<1/2$. We use this process as prototype for the behaviour of randomized, comparison-based optimization heuristics in…

Neural and Evolutionary Computing · Computer Science 2018-03-14 Tomáš Gavenčiak , Barbara Geissmann , Johannes Lengler

Any single-qubit unitary operation or quantum gate can be considered a rotation. Typical experimental implementations of single-qubit gates involve two or three fixed rotation axes, and up to three rotation steps. Here we show that, if the…

Mesoscale and Nanoscale Physics · Physics 2013-03-05 Yun-Pil Shim , Jianjia Fei , Sangchul Oh , Xuedong Hu , Mark Friesen

A key way to construct complex distributed systems is through modular composition of linearizable concurrent objects. A prominent example is shared registers, which have crash-tolerant implementations on top of message-passing systems,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-31 Hagit Attiya , Constantin Enea , Jennifer Welch

We prove that in asynchronous message-passing systems where at most one process may crash, there is no lock-free strongly linearizable implementation of a weak object that we call Test-or-Set (ToS). This object allows a single distinguished…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-10 David Yu Cheng Chan , Vassos Hadzilacos , Xing Hu , Sam Toueg

The increasing capacity of modern computers, driven by Moore's Law, is accompanied by smaller noise margins and higher error rates. In this paper we propose a memory device, consisting of a ring of two identical overdamped bistable…

Adaptation and Self-Organizing Systems · Physics 2009-11-05 S. A. Ibáñez , P. I. Fierens , G. A. Patterson , R. P. J. Perazzo , D. F. Grosz

The pattern matching problem with swaps is to find all occurrences of a pattern in a text while allowing the pattern to swap adjacent symbols. The goal is to design fast matching algorithm that takes advantage of the bit parallelism of…

Data Structures and Algorithms · Computer Science 2018-09-26 Václav Blažej , Ondřej Suchý , Tomáš Valla

Most algorithms designed for shared-memory distributed systems assume the single-writer multi-reader (SWMR) setting where each process is provided with a unique register readable by all. In a system where computation is performed by a…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-28 Damien Imbs , Petr Kuznetsov , Thibault Rieutord

The coordinate-exchange algorithm is commonly used to construct optimal experimental designs. Every execution of the coordinate-exchange algorithm produces a new, seemingly random, order of the selected design points. In this short…

Methodology · Statistics 2026-03-24 Arno Strouwen , Peter Goos

Work Stealing has been a very successful algorithm for scheduling parallel computations, and is known to achieve high performances even for computations exhibiting fine-grained parallelism. We present a variant of \ws\ that provably avoids…

Data Structures and Algorithms · Computer Science 2019-04-30 Guilherme Rito , Hervé Paulino

The transfer algorithm~\cite{jiang} solves the on-chain one-hop swap routing problem. In \cite{jiang}, the convergence is proved but the convergence rate is left open. We prove that the algorithm terminates in at most…

Optimization and Control · Mathematics 2026-03-31 Ruichao Jiang , Long Wen

In this paper we present two versions of a parallel working-set map on p processors that supports searches, insertions and deletions. In both versions, the total work of all operations when the map has size at least p is bounded by the…

Data Structures and Algorithms · Computer Science 2018-07-12 Kunal Agrawal , Seth Gilbert , Wei Quan Lim

We consider the fundamental problem of communicating an estimate of a real number $x\in[0,1]$ using a single bit. A sender that knows $x$ chooses a value $X\in\set{0,1}$ to transmit. In turn, a receiver estimates $x$ based on the value of…

Data Structures and Algorithms · Computer Science 2021-05-21 Ran Ben-Basat , Michael Mitzenmacher , Shay Vargaftik

We present a novel linearizable wait-free queue implementation using single-word CAS instructions. Previous lock-free queue implementations from CAS all have amortized step complexity of $\Omega(p)$ per operation in worst-case executions,…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-15 Hossein Naderibeni , Eric Ruppert

We describe single-shot readout of a trapped-ion multi-qubit register using space and time-resolved camera detection. For a single qubit we measure 0.9(3)x10^{-4} readout error in 400us exposure time, limited by the qubit's decay lifetime.…

Quantum Physics · Physics 2010-04-08 A. H. Burrell , D. J. Szwer , S. C. Webster , D. M. Lucas

We show that for all given $n,t,w \in \{1,2,...\}$ with $n<2^w$, an array of $n$ entries of $w$ bits each can be represented on a word RAM with a word length of $w$ bits in at most $nw+\lceil n(t/(2 w))^t\rceil$ bits of uninitialized memory…

Data Structures and Algorithms · Computer Science 2017-10-02 Torben Hagerup , Frank Kammer

A snapshot object simulates the behavior of an array of single-writer/multi-reader shared registers that can be read atomically. Delporte-Gallet et al. proposed two fault-tolerant algorithms for snapshot objects in asynchronous crash-prone…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-03 Chryssis Georgiou , Oskar Lundström , Elad Michael Schiller

Scalable ordered maps must ensure that range queries, which operate over many consecutive keys, provide intuitive semantics (e.g., linearizability) without degrading the performance of concurrent insertions and removals. These goals are…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-11 Matthew Rodriguez , Vitaly Aksenov , Michael Spear