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State of the art quantum computing architectures are founded on the decision to use scalable but faulty quantum hardware in conjunction with an efficient error correcting code capable of tolerating high error rates. The promised effect of…

Quantum Physics · Physics 2021-08-23 Alexandru Paler , Austin G. Fowler , Robert Wille

Existing quantum systems provide very limited physical qubit counts, trying to execute a quantum algorithm/circuit on them that have a higher number of logical qubits than physically available lead to a compile-time error. Given that it is…

Emerging Technologies · Computer Science 2023-01-03 Movahhed Sadeghi , Soheil Khadirsharbiyani , Mahmut Taylan Kandemir

In this work, we consider error detection via simulation for reversible circuit architectures. We rigorously prove that reversibility augments the performance of this simple error detection protocol to a considerable degree. A single…

Hardware Architecture · Computer Science 2023-01-11 Lukas Burgholzer , Robert Wille , Richard Kueng

Recent developments in engineering and algorithms have made real-world applications in quantum computing possible in the near future. Existing quantum programming languages and compilers use a quantum assembly language composed of 1- and…

We present a depth-aware optimization framework for quantum circuit compilation that unifies provable optimality with scalable heuristics. For exact synthesis of a target unitary, we formulate a mixed-integer linear program (MILP) that…

Quantum Physics · Physics 2025-10-02 Harsha Nagarajan , Zsolt Szabó

Reversible computing has emerged as a possible low cost alternative to conventional computing in terms of speed, power consumption and computing capability. In order to achieve reliable circuits in reversible computing, provision for fault…

Emerging Technologies · Computer Science 2015-01-19 Anugrah Jain

We construct reversible Boolean circuits efficiently simulating reversible Turing machines. Both the circuits and the simulation proof are rather simple. Then we give a fairly straightforward generalization of the circuits and the…

Quantum Physics · Physics 2022-10-12 Yuri Gurevich , Andreas Blass

To implement quantum algorithms on a quantum computer, we must overcome the twin problems of fault-tolerance -- how can we realize a relatively noiseless computation by cleverly combining noisy components? -- and compilation -- how can we…

Quantum Physics · Physics 2026-04-29 Jack Weinberg , Narayanan Rengaswamy

Optimal synthesis of reversible functions is a non-trivial problem. One of the major limiting factors in computing such circuits is the sheer number of reversible functions. Even restricting synthesis to 4-bit reversible functions results…

Quantum Physics · Physics 2010-03-10 Oleg Golubitsky , Sean M. Falconer , Dmitri Maslov

In near-term quantum computations that do not employ error correction, noise can proliferate rapidly, corrupting the quantum state and making results unreliable. These errors originate from both decoherence and control imprecision. The…

Existing quantum compilers optimize quantum circuits by applying circuit transformations designed by experts. This approach requires significant manual effort to design and implement circuit transformations for different quantum devices,…

Programming Languages · Computer Science 2022-05-03 Mingkuan Xu , Zikun Li , Oded Padon , Sina Lin , Jessica Pointing , Auguste Hirth , Henry Ma , Jens Palsberg , Alex Aiken , Umut A. Acar , Zhihao Jia

The architecture of circuital quantum computers requires computing layers devoted to compiling high-level quantum algorithms into lower-level circuits of quantum gates. The general problem of quantum compiling is to approximate any unitary…

Quantum Physics · Physics 2021-09-21 Lorenzo Moro , Matteo G. A. Paris , Marcello Restelli , Enrico Prati

Reversible logic synthesis is emerging as a major research component for post-CMOS computing devices, in particular Quantum computing. In this work, we link the reversible logic synthesis problem to sorting algorithms. Based on our…

Emerging Technologies · Computer Science 2016-05-30 Anupam Chattopadhyay , Sharif Md Khairul Hossain

Reversible logic circuit is a necessary construction for achieving ultra low power dissipation as well as for prominent post-CMOS computing technologies such as Quantum computing. Consequently automatic synthesis of a Boolean function using…

Emerging Technologies · Computer Science 2014-06-25 Anupam Chattopadhyay , Chander Chandak , Kaushik Chakraborty

We study the problem of compilation of quantum algorithms into optimized physical-level circuits executable in a quantum information processing (QIP) experiment based on trapped atomic ions. We report a complete strategy: starting with an…

Quantum Physics · Physics 2017-02-22 Dmitri Maslov

Quilc is an open-source, optimizing compiler for gate-based quantum programs written in Quil or QASM, two popular quantum programming languages. The compiler was designed with attention toward NISQ-era quantum computers, specifically…

Quantum Physics · Physics 2020-04-01 Robert S. Smith , Eric C. Peterson , Mark G. Skilbeck , Erik J. Davis

Quantum computers are considered as a future alternative to circumvent the heat dissipation problem of VLSI circuits. The synthesis of reversible circuits is a very promising area of study considering the expected further technological…

Emerging Technologies · Computer Science 2014-11-25 Fatima Hadjam , Claudio Moraga

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

Quantum error correction (QEC) is fundamental for suppressing noise in quantum hardware and enabling fault-tolerant quantum computation. In this paper, we propose an efficient verification framework for QEC programs. We define an assertion…

Programming Languages · Computer Science 2025-10-30 Qifan Huang , Li Zhou , Wang Fang , Mengyu Zhao , Mingsheng Ying

We present a self-certifying compiler for the COGENT systems language. COGENT is a restricted, polymorphic, higher-order, and purely functional language with linear types and without the need for a trusted runtime or garbage collector. It…

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