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Many quantum algorithms can be represented in a form of a classical circuit positioned between quantum Fourier transformations. Motivated by the search for new quantum algorithms, we turn to circuits where the latter transformation is…

Quantum Physics · Physics 2019-07-03 Vojtěch Havlíček , Sergii Strelchuk , Kristan Temme

Traditionally, computation within self-assembly models is hard to conceal because the self-assembly process generates a crystalline assembly whose computational history is inherently part of the structure itself. With no way to remove…

Emerging Technologies · Computer Science 2020-08-18 Angel A. Cantu , Austin Luchsinger , Robert Schweller , Tim Wylie

Fault-tolerant quantum computing hinges on efficient logical compilation, in particular, translating high-level circuits into code-compatible implementations. Gate-by-gate compilation often yields deep circuits, requiring significant…

Quantum Physics · Physics 2026-02-16 Alexander Popov , Nico Meyer , Daniel D. Scherer , Guido Dietl

Quantum circuit compilation comprises many computationally hard reasoning tasks that nonetheless lie inside #$\mathbf{P}$ and its decision counterpart in $\mathbf{PP}$. The classical simulation of general quantum circuits is a core example.…

Quantum Physics · Physics 2024-03-13 Jingyi Mei , Marcello Bonsangue , Alfons Laarman

Physarum Polycephalum is a slime mold that is apparently able to solve shortest path problems. A mathematical model has been proposed by biologists to describe the feedback mechanism used by the slime mold to adapt its tubular channels…

Data Structures and Algorithms · Computer Science 2019-07-01 Vincenzo Bonifaci , Kurt Mehlhorn , Girish Varma

The slime mould Physarum polycephalum is a suitable candidate organism for soft-matter robotics because it exhibits controllable transport, movement and guidance behaviour. Physarum may be considered as a smart computing and actuating…

Adaptation and Self-Organizing Systems · Physics 2012-12-05 Soichiro Tsuda , Jeff Jones , Andrew Adamatzky

Current quantum computing hardware is restricted by the availability of only few, noisy qubits which limits the investigation of larger, more complex molecules in quantum chemistry calculations on quantum computers in the near-term. In this…

In near-term quantum computing devices, connectivity between qubits remain limited by architectural constraints. A computational circuit with given connectivity requirements necessary for multi-qubit gates have to be embedded within…

Plasmodium of Physarym polycephalum is an ideal biological substrate for implementing concurrent and parallel computation, including combinatorial geometry and optimization on graphs. We report results of scoping experiments on Physarum…

Robotics · Computer Science 2010-11-23 Andrew Adamatzky

Quantum simulations consist in the intentional reproduction of physical or unphysical models into another more controllable quantum system. Beyond establishing communication vessels between unconnected fields, they promise to solve complex…

Quantum Physics · Physics 2018-04-24 Lucas Lamata , Adrian Parra-Rodriguez , Mikel Sanz , Enrique Solano

Classification using variational quantum circuits is a promising frontier in quantum machine learning. Quantum supervised learning (QSL) applied to classical data using variational quantum circuits involves embedding the data into a quantum…

Quantum Physics · Physics 2026-03-16 Yujin Kim , Changjae Im , Taehyun Kim , Tak Hur , Daniel K. Park

Satisfiability Testing (SAT) techniques are well-established in classical computing where they are used to solve a broad variety of problems, e.g., in the design of classical circuits and systems. Analogous to the classical realm, quantum…

Quantum Physics · Physics 2023-01-11 Lucas Berent , Lukas Burgholzer , Robert Wille

Physarum Polycephalum is a unicellular slime mold that has been intensely studied due to its ability to solve mazes, find shortest paths, generate Steiner trees, share knowledge, remember past events, and its applications to unconventional…

Biological Physics · Physics 2022-10-18 Sheryl Hsu , Laura P. Schaposnik

The design and optimization of a large-scale fault-tolerant quantum computer architecture relies extensively on numerical simulations to assess the performance of each component of the architecture. The simulation of fault-tolerant gadgets,…

Quantum Physics · Physics 2023-09-28 Nicolas Delfosse , Adam Paetznick

In recent decades, the field of quantum computing has experienced remarkable progress. This progress is marked by the superior performance of many quantum algorithms compared to their classical counterparts, with Shor's algorithm serving as…

Quantum Physics · Physics 2024-06-07 Siyi Wang , Xiufan Li , Wei Jie Bryan Lee , Suman Deb , Eugene Lim , Anupam Chattopadhyay

Conventional approaches to fault-tolerant quantum computing realize logical circuits gate-by-gate, synthesizing each gate independently on one or more code blocks. This incurs excess overhead and doesn't leverage common structures in…

Quantum Physics · Physics 2026-02-02 Zhuangzhuang Chen , Jack Owen Weinberg , Narayanan Rengaswamy

Collective movement occurs in living systems where the simple movements of individual members of a pop- ulation are combined to generate movement of the collective as a whole, displaying complex dynamics which cannot be found in the…

Emerging Technologies · Computer Science 2015-11-25 Jeff Jones

A quantum computing simulation provides the opportunity to explore the behaviors of quantum circuits, study the properties of quantum gates, and develop quantum computing algorithms. Simulating quantum circuits requires geometric time and…

Quantum Physics · Physics 2024-07-10 Lee A. Belfore

In this research paper, our primary focus revolves around the domain-specific hardware mapping strategy tailored for Quantum Fourier Transformation (QFT) circuits. While previous approaches have heavily relied on SAT solvers or heuristic…

Quantum Physics · Physics 2023-12-27 Yuwei Jin , Xiangyu Gao , Minghao Guo , Henry Chen , Fei Hua , Chi Zhang , Eddy Z. Zhang

Braiding defects in topological stabiliser codes has been widely studied as a promising approach to fault-tolerant quantum computing. Here, we explore the potential and limitations of such schemes in codes of all spatial dimensions. We…

Quantum Physics · Physics 2020-08-11 Paul Webster , Stephen D. Bartlett