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Quantum computers have the potential to provide exponential speedups over their classical counterparts. Quantum principles are being applied to fields such as communications, information processing, and artificial intelligence to achieve…

量子物理 · 物理学 2024-03-21 Arijit Mondal , Keshab K. Parhi

Quantum computations are expressed in general as quantum circuits, which are specified by ordered lists of quantum gates. The resulting specifications are used during the optimisation and execution of the expressed computations. However,…

量子物理 · 物理学 2018-08-08 Alexandru Paler , Simon J. Devitt

Recently, it is shown that quantum computers can be used for obtaining certain information about the solution of a linear system Ax=b exponentially faster than what is possible with classical computation. Here we first review some key…

量子物理 · 物理学 2015-05-30 Yudong Cao , Anmer Daskin , Steven Frankel , Sabre Kais

Due to the scarcity of quantum computing resources, researchers and developers have very limited access to real quantum computers. Therefore, judicious planning and utilization of quantum computer runtime are essential to ensure smooth…

软件工程 · 计算机科学 2025-11-18 Ning Ma , Heng Li

As the width and depth of quantum circuits implemented by state-of-the-art quantum processors rapidly increase, circuit analysis and assessment via classical simulation are becoming unfeasible. It is crucial, therefore, to develop new…

量子物理 · 物理学 2023-02-15 Fernando A. Calderon-Vargas , Timothy Proctor , Kenneth Rudinger , Mohan Sarovar

We introduce a model-checking tool intended specially for the analysis of quantum information protocols. The tool incorporates an efficient representation of a certain class of quantum circuits, namely those expressible in the so-called…

量子物理 · 物理学 2008-04-21 Simon Gay , Rajagopal Nagarajan , Nikolaos Papanikolaou

The stabiliser formalism plays a central role in quantum computing, error correction, and fault tolerance. Conversions between and verifications of different specifications of stabiliser states and Clifford gates are important components of…

量子物理 · 物理学 2025-01-09 Nadish de Silva , Wilfred Salmon , Ming Yin

We propose an implementation of the algorithm for the fast Fourier transform (FFT) as a quantum circuit consisting of a combination of some quantum gates. In our implementation, a data sequence is expressed by a tensor product of vector…

量子物理 · 物理学 2020-08-11 Ryo Asaka , Kazumitsu Sakai , Ryoko Yahagi

As the number of qubits increases, quantum circuits become more complex and their state space grows rapidly. This makes functional verification challenging for conventional techniques. Ensuring correctness is especially critical for quantum…

量子物理 · 物理学 2026-03-31 Arun Govindankutty

We present recursive multiport schemes for implementing quantum Fourier transforms and the inversion step in Grover's algorithm on an integrated linear optics device. In particular, each scheme shows how to execute a quantum operation on…

量子物理 · 物理学 2016-01-18 Gelo Noel M. Tabia

A critical step in quantum compilation is the transformation of a technology-independent quantum circuit into a technology-dependent form for a targeted device. In addition to mapping quantum gates into the supported gate set, it is…

量子物理 · 物理学 2020-05-04 Kaitlin Smith , Mathias Soeken , Bruno Schmitt , Giovanni De Micheli , Mitchell Thornton

Quantum error correcting codes have been developed to protect a quantum computer from decoherence due to a noisy environment. In this paper, we present two methods for optimizing the physical implementation of such error correction schemes.…

介观与纳米尺度物理 · 物理学 2009-10-31 Guido Burkard , Daniel Loss , David P. DiVincenzo , John A. Smolin

Diagrammatic representations of quantum algorithms and circuits offer novel approaches to their design and analysis. In this work, we describe extensions of the ZX-calculus especially suitable for parameterized quantum circuits, in…

量子物理 · 物理学 2023-11-16 Tobias Stollenwerk , Stuart Hadfield

In quantum information and computation research, symbolic methods have been widely used for human specification and reasoning about quantum states and operations. At the same time, they are essential for ensuring the scalability and…

编程语言 · 计算机科学 2025-12-30 Mingsheng Ying

Simulating strongly correlated fermionic systems is notoriously hard on classical computers. An alternative approach, as proposed by Feynman, is to use a quantum computer. Here, we discuss quantum simulation of strongly correlated fermionic…

量子物理 · 物理学 2018-05-02 Zhang Jiang , Kevin J. Sung , Kostyantyn Kechedzhi , Vadim N. Smelyanskiy , Sergio Boixo

Dynamical decoupling (DD) is a promising technique for mitigating errors in near-term quantum devices. However, its effectiveness depends on both hardware characteristics and algorithm implementation details. This paper explores the…

量子物理 · 物理学 2024-08-20 Yanjun Ji , Ilia Polian

The aim of this paper is to build quantum circuits that implement discrete-time quantum walks having an arbitrary position-dependent coin operator. The position of the walker is encoded in base 2: with $n$ wires, each corresponding to one…

Early but promising results in quantum computing have been enabled by the concurrent development of quantum algorithms, devices, and materials. Classical simulation of quantum programs has enabled the design and analysis of algorithms and…

量子物理 · 物理学 2022-05-17 Bo Fang , M. Yusuf Özkaya , Ang Li , Ümit V. Çatalyürek , Sriram Krishnamoorthy

Generic quantum-circuit simulation appears intractable for conventional computers and may be unnecessary because useful quantum circuits exhibit significant structure that can be exploited during simulation. For example, Gottesman and Knill…

数据结构与算法 · 计算机科学 2017-12-12 Héctor J. García , Igor L. Markov

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…

量子物理 · 物理学 2018-06-01 Thomas Häner , Martin Roetteler , Krysta M. Svore