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Uncomputation is an essential part of reversible computing and plays a vital role in quantum computing. Using this technique, memory resources can be safely deallocated without performing a nonreversible deletion process. For the case of…

Quantum Physics · Physics 2023-07-24 Raphael Seidel , Nikolay Tcholtchev , Sebastian Bock , Manfred Hauswirth

Program synthesis--the automated generation of executable code from high-level specifications--has been a central goal of computer science for over fifty years. This thesis provides a comparative literature review of the main paradigms that…

Programming Languages · Computer Science 2025-08-04 Zurabi Kobaladze , Anna Arnania , Tamar Sanikidze

Gate-level quantum circuits are often derived manually from higher level algorithms. While this suffices for small implementations and demonstrations, ultimately automatic circuit design will be required to realise complex algorithms using…

Quantum Physics · Physics 2023-08-09 Richard Meister , Cica Gustiani , Simon C. Benjamin

A major obstacle to implementing Shor's quantum number-factoring algorithm is the large size of modular-exponentiation circuits. We reduce this bottleneck by customizing reversible circuits for modular multiplication to individual runs of…

Quantum Physics · Physics 2013-01-16 Igor L. Markov , Mehdi Saeedi

The identification of synthetic routes that end with a desired product has been an inherently time-consuming process that is largely dependent on expert knowledge regarding a limited fraction of the entire reaction space. At present,…

Machine Learning · Statistics 2020-12-17 Zhongliang Guo , Stephen Wu , Mitsuru Ohno , Ryo Yoshida

The purpose of unitary synthesis is to find a gate sequence that optimally approximates a target unitary transformation. A new synthesis approach, called probabilistic synthesis, has been introduced, and its superiority has been…

Quantum Physics · Physics 2024-05-03 Seiseki Akibue , Go Kato , Seiichiro Tani

It has been experimentally proven that realizing universal quantum gates using higher-radices logic is practically and technologically possible. We developed a Parallel Genetic Algorithm that synthesizes Boolean reversible circuits realized…

Quantum Physics · Physics 2011-07-19 Maarti nLukac , Marek Perkowski , Michitaka Kameyama

Executing quantum algorithms on a quantum computer requires compilation to representations that conform to all restrictions imposed by the device. Due to devices' limited coherence times and gate fidelities, the compilation process has to…

Quantum Physics · Physics 2025-12-16 Sarah Schneider , Lukas Burgholzer , Robert Wille

The quantum circuit synthesis problem bridges quantum algorithm design and quantum hardware implementation in the Noisy Intermediate-Scale Quantum (NISQ) era. In quantum circuit synthesis problems, diagonal unitary synthesis plays a crucial…

Quantum Physics · Physics 2024-12-04 Wenqi Zhang , Jinyang Liu , Zixiang Zhou , Shuai Yang

Despite rapid progress in the field, it is still challenging to discover new ways to take advantage of quantum computation: all quantum algorithms need to be designed by hand, and quantum mechanics is notoriously counterintuitive. In this…

Quantum Physics · Physics 2023-05-04 Leopoldo Sarra , Kevin Ellis , Florian Marquardt

From a geometric approach, we derive the minimum number of applications needed for an arbitrary Controlled-Unitary gate to construct a universal quantum circuit. A new analytic construction procedure is presented and shown to be either…

Quantum Physics · Physics 2009-11-10 Jun Zhang , Jiri Vala , Shankar Sastry , K. Birgitta Whaley

In neuroscience, researchers have developed informal notions of what it means to reverse engineer a system, e.g., being able to model or simulate a system in some sense. A recent influential paper of Jonas and Kording, that examines a…

Information Theory · Computer Science 2021-10-05 Keerthana Gurushankar , Pulkit Grover

In this work, we present a class of new designs for reversible binary and BCD adder circuits. The proposed designs are primarily optimized for the number of ancilla inputs and the number of garbage outputs and are designed for possible best…

Quantum Physics · Physics 2017-12-08 Himanshu Thapliyal , Nagarajan Ranganathan

Analog mixed-signal (AMS) circuit architecture has evolved towards more digital friendly due to technology scaling and demand for higher flexibility/reconfigurability. Meanwhile, the design complexity and cost of AMS circuits has…

Emerging Technologies · Computer Science 2021-12-16 Shiyu Su , Qiaochu Zhang , Mohsen Hassanpourghadi , Juzheng Liu , Rezwan A Rasul , Mike Shuo-Wei Chen

We describe techniques for synthesis and verification of recursive functional programs over unbounded domains. Our techniques build on top of an algorithm for satisfiability modulo recursive functions, a framework for deductive synthesis,…

Programming Languages · Computer Science 2013-04-23 Etienne Kneuss , Viktor Kuncak , Ivan Kuraj , Philippe Suter

This paper presents novel techniques for the synthesis of reversible networks of Toffoli gates, as well as improvements to previous methods. Gate count and technology oriented cost metrics are used. Our synthesis techniques are independent…

Quantum Physics · Physics 2011-08-01 D. Maslov , D. M. Miller , G. W. Dueck

We develop novel protocols for generating loss-tolerant quantum codes; these are central for safeguarding information against qubit losses, with most crucial applications in quantum communications. Contrary to current proposals, our method…

Quantum Physics · Physics 2025-03-31 Francesco Cesa , Tommaso Feri , Angelo Bassi

Pipelining is a design technique for logical circuits that allows for higher throughput than circuits in which multiple computations are fed through the system one after the other. It allows for much faster computation than architectures in…

Computational Physics · Physics 2024-10-28 Ian Seet , Thomas E. Ouldridge , Jonathan P. K. Doye

Due to the unreliability and limited capacity of existing quantum computer prototypes, quantum circuit simulation continues to be a vital tool for validating next generation quantum computers and for studying variational quantum algorithms,…

Quantum Physics · Physics 2021-04-01 Yipeng Huang , Steven Holtzen , Todd Millstein , Guy Van den Broeck , Margaret Martonosi

In recent years, reversible logic has emerged as a promising computing paradigm having its applications in low power computing, quantum computing, nanotechnology, optical computing and DNA computing. The classical set of gates such as AND,…

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