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Quantum computing leverages the principles of quantum mechanics to perform computations far beyond the capabilities of classical systems, particularly in fields such as cryptography and optimization. However, current quantum programming…

Programming Languages · Computer Science 2025-03-18 Simone Faro , Francesco Pio Marino , Gabriele Messina

We introduce an abstract machine architecture for classical/quantum computations---including compilation---along with a quantum instruction language called Quil for explicitly writing these computations. With this formalism, we discuss…

Quantum Physics · Physics 2017-02-20 Robert S. Smith , Michael J. Curtis , William J. Zeng

Quantum simulations are designed to model quantum systems, and many compilation frameworks have been developed for executing such simulations on quantum computers. Most compilers leverage the capabilities of digital and analog quantum…

Quantum Physics · Physics 2025-09-26 Liyi Li , Federico Zahariev , Chandeepa Dissanayake , Jae Swanepoel , Amr Sabry , Mark S. Gordon

Most modern (classical) programming languages support recursion. Recursion has also been successfully applied to the design of several quantum algorithms and introduced in a couple of quantum programming languages. So, it can be expected…

Logic in Computer Science · Computer Science 2021-07-27 Zhaowei Xu , Mingsheng Ying , Benoît Valiron

The widely held belief that BQP strictly contains BPP raises fundamental questions: Upcoming generations of quantum computers might already be too large to be simulated classically. Is it possible to experimentally test that these systems…

Quantum Physics · Physics 2008-11-18 Dorit Aharonov , Michael Ben-Or , Elad Eban

Quantum compiling fills the gap between the computing layer of high-level quantum algorithms and the layer of physical qubits with their specific properties and constraints. Quantum compiling is a hybrid between the general-purpose…

Quantum Physics · Physics 2021-12-02 Marco Maronese , Lorenzo Moro , Lorenzo Rocutto , Enrico Prati

We describe how one may go about performing quantum computation with arbitrary "quantum stuff", as long as it has some basic physical properties. Imagine a long strip of stuff, equipped with regularly spaced wires to provide input settings…

Quantum Physics · Physics 2019-12-03 Lucien Hardy , Adam G. M. Lewis

Non-Hermitian (NH) quantum systems demonstrate striking differences from their Hermitian counterparts, leading to claims of NH advantage in areas ranging from metrology to entanglement generation. We show that in the context of quantum…

Quantum Physics · Physics 2026-04-14 Brian Barch , Daniel Lidar

This paper presents a novel semantics for a quantum programming language by operator algebras, which are known to give a formulation for quantum theory that is alternative to the one by Hilbert spaces. We show that the opposite category of…

Logic in Computer Science · Computer Science 2014-12-31 Kenta Cho

Machine learning is a crucial aspect of artificial intelligence. This paper details an approach for quantum Hebbian learning through a batched version of quantum state exponentiation. Here, batches of quantum data are interacted with…

Quantum Physics · Physics 2019-07-18 Thomas R. Bromley , Patrick Rebentrost

Different platforms for quantum computation are currently being developed with a steadily increasing number of physical qubits. To make today's devices practical for quantum software engineers, novel programming tools with maximal…

Quantum Physics · Physics 2019-07-17 Michael Cubeddu , Will Finigan , Thomas Lively , Johannes Flick , Prineha Narang

Quantum computing offers advantages over classical computation, yet the precise features that set the two apart remain unclear. In the standard quantum circuit model, adding a 1-qubit basis-changing gate -- commonly chosen to be the…

Quantum Physics · Physics 2025-11-26 Wang Fang , Chris Heunen , Robin Kaarsgaard

We present a semi-automated framework to construct and reason about programs in a deeply-embedded while-language. The while-language we consider is a simple computation model that can simulate (and be simulated by) Turing Machines with a…

Logic in Computer Science · Computer Science 2025-04-22 Kevin Kappelmann , Fabian Huch , Lukas Stevens , Mohammad Abdulaziz

We present a scalable, robust approach to creating quantum programs of arbitrary size and complexity. The approach is based on the true abstraction of the problem. The quantum program is expressed in terms of a high-level model together…

For a specific quantum chip, multi-programming helps to improve overall throughput and resource utilization. However, the previous solutions for mapping multiple programs onto a quantum chip often lead to resource under-utilization, high…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-28 Lei Liu , Xinglei Dou

We consider hierarchically implemented quantum error correction (HI-QEC), in which the fidelities of logical qubits are differentially optimized to enhance the capabilities of quantum devices in scientific applications. By employing qubit…

Quantum Physics · Physics 2022-01-05 Natalie Klco , Martin J. Savage

Programming a quantum computer, i.e., implementing quantum algorithms on a quantum processor-based copmputer architecture, is a task that can be addressed (just as for classical computers) at different levels of abstraction. This paper…

Programming Languages · Computer Science 2025-07-01 Nicola Assolini , Alessandra Di Pierro

In this paper, decoherence is studied for quantum systems undergoing adiabatic processes, which are coupled to huge quantum environments. It is shown that decoherence can happen with respect to a preferred basis given by transient…

Quantum Physics · Physics 2018-01-31 Wen-ge Wang

Verifying the functional correctness of programs with both classical and quantum constructs is a challenging task. The presence of probabilistic behaviour entailed by quantum measurements and unbounded while loops complicate the…

Programming Languages · Computer Science 2025-02-17 Huiling Wu , Yuxin Deng , Ming Xu

A first-order logic with quantum variables is needed as an assertion language for specifying and reasoning about various properties (e.g. correctness) of quantum programs. Surprisingly, such a logic is missing in the literature, and the…

Logic in Computer Science · Computer Science 2022-05-06 Mingsheng Ying