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Many quantum algorithms make use of oracles which evaluate classical functions on a superposition of inputs. In order to facilitate implementation, testing, and resource estimation of such algorithms, we present quantum circuits for…

Quantum Physics · Physics 2018-06-01 Thomas Häner , Martin Roetteler , Krysta M. Svore

Current quantum processors are noisy, have limited coherence and imperfect gate implementations. On such hardware, only algorithms that are shorter than the overall coherence time can be implemented and executed successfully. A good quantum…

Quantum Physics · Physics 2021-06-22 Davide Ferrari , Ivano Tavernelli , Michele Amoretti

The success of quantum circuits in providing reliable outcomes for a given problem depends on the gate count and depth in near-term noisy quantum computers. Quantum circuit compilers that decompose high-level gates to native gates of the…

Quantum Physics · Physics 2023-06-30 Subrata Das , Swaroop Ghosh

In quantum computation, optimizing depth and number of ancillary qubits in quantum circuits is crucial due to constraints imposed by current quantum devices. This paper presents an innovative approach to implementing arbitrary symmetric…

Quantum Physics · Physics 2024-04-10 Wei Zi , Junhong Nie , Xiaoming Sun

Boolean functions with strong cryptographic properties, such as high nonlinearity and algebraic degree, are important for the security of stream and block ciphers. These functions can be designed using algebraic constructions or…

Neural and Evolutionary Computing · Computer Science 2025-11-18 Claude Carlet , Marko Ðurasevic , Domagoj Jakobovic , Luca Mariot , Stjepan Picek , Alexandr Polujan

We describe a high-speed physical random number generator based on a hybrid Boolean network with autonomous and clocked logic gates, realized on a reconfigurable chip. The autonomous logic gates are arranged in a bidirectional ring topology…

Chaotic Dynamics · Physics 2013-04-30 David P. Rosin , Damien Rontani , Daniel J. Gauthier

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

Quantum computing has gained attention in recent years due to the significant progress in quantum computing technology. Today many companies like IBM, Google and Microsoft have developed quantum computers and simulators for research and…

Quantum Physics · Physics 2023-08-04 Hassan Hajjdiab , Ashraf Khalil , Hichem Eleuch

It remains an open question whether the apparent additional power of quantum computation derives inherently from quantum mechanics, or merely from the flexibility obtained by "lifting" Boolean functions to linear operators and evaluating…

Combinatorics · Mathematics 2011-01-04 Jason Morton

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

Approximate computing is an emerging paradigm where design accuracy can be traded off for benefits in design metrics such as design area, power consumption or circuit complexity. In this work, we present a novel paradigm to synthesize…

Hardware Architecture · Computer Science 2018-05-17 Soheil Hashemi , Hokchhay Tann , Sherief Reda

There is no unique way to encode a quantum algorithm into a quantum circuit. With limited qubit counts, connectivities, and coherence times, circuit optimization is essential to make the best use of near-term quantum devices. We introduce…

A major hurdle to the deployment of quantum linear systems algorithms and recent quantum simulation algorithms lies in the difficulty to find inexpensive reversible circuits for arithmetic using existing hand coded methods. Motivated by…

Quantum Physics · Physics 2016-12-05 Mathias Soeken , Martin Roetteler , Nathan Wiebe , Giovanni De Micheli

Quantum algorithms can be analyzed in a query model to compute Boolean functions where input is given in a black box and the aim is to compute function value for arbitrary input using as few queries as possible. We concentrate on quantum…

Quantum Physics · Physics 2009-04-23 Alina Vasilieva

The ability of a quantum computer to reproduce or replicate the results of a quantum circuit is a key concern for verifying and validating applications of quantum computing. Statistical variations in circuit outcomes that arise from…

Quantum Physics · Physics 2022-04-05 Samudra Dasgupta , Travis S. Humble

Polymorphic circuits are a special kind of circuits which possess multiple build-in functions, and these functions are activated by environment parameters, like temperature, light and VDD. The behavior of a polymorphic circuit can be…

Emerging Technologies · Computer Science 2017-09-13 Wenjian Luo , Zhifang Li

Quantum circuits generating probability distributions has applications in several areas. Areas like finance require quantum circuits that can generate distributions that mimic some given data pattern. Hamiltonian simulations require…

Quantum Physics · Physics 2022-08-30 Kalyan Dasgupta , Binoy Paine

Reversible single-target gates are a generalization of Toffoli gates which are a helpful formal representation for the description of synthesis algorithms but are too general for an actual implementation based on some technology. There is…

Emerging Technologies · Computer Science 2014-08-19 Mathias Soeken , Nabila Abdessaied , Rolf Drechsler

Quantum computers can perform certain operations exponentially faster than classical computers, but designing quantum circuits is challenging. To that end, researchers used evolutionary algorithms to produce probabilistic quantum circuits…

Quantum Physics · Physics 2024-09-17 Owain Parry , John Clark , Phil McMinn

Quantum compiling, a process that decomposes the quantum algorithm into a series of hardware-compatible commands or elementary gates, is of fundamental importance for quantum computing. We introduce an efficient algorithm based on deep…

Quantum Physics · Physics 2020-10-22 Yuan-Hang Zhang , Pei-Lin Zheng , Yi Zhang , Dong-Ling Deng