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In this paper, simultaneous reduction of circuit depth and synthesis cost of reversible circuits in quantum technologies with limited interaction is addressed. We developed a cycle-based synthesis algorithm which uses negative controls and…

量子物理 · 物理学 2016-11-11 Mona Arabzadeh , Morteza Saheb Zamani , Mehdi Sedighi , Mehdi Saeedi

Efficient constructions for quantum logic are essential since quantum computation is experimentally challenging. This thesis develops quantum logic synthesis as a paradigm for reducing the resource overhead in fault-tolerant quantum…

量子物理 · 物理学 2013-10-29 N. Cody Jones

The physical limitations of quantum hardware often require nearest-neighbor qubit structures, in which two-qubit gates are required to construct nearest-neighbor quantum circuits. However, two-qubit gates are considered a major cost of…

量子物理 · 物理学 2022-08-31 Byeongyong Park , Doyeol Ahn

We show the applicability of the Cartan decomposition of Lie algebras to quantum circuits. This approach can be used to synthesize circuits that can efficiently implement any desired unitary operation. Our method finds explicit quantum…

Multi-controlled single-target (MC) gates are some of the most crucial building blocks for varied quantum algorithms. How to implement them optimally is thus a pivotal question. To answer this question in an architecture-independent manner,…

量子物理 · 物理学 2025-07-01 Ben Zindorf , Sougato Bose

Synthesis of reversible logic circuits has gained great atten- tion during the last decade. Various synthesis techniques have been pro- posed, some generate optimal solutions (in gate count) and are termed as exact, while others are…

新兴技术 · 计算机科学 2017-02-27 Rajarshi Ray , Arup Deka , Kamalika Datta

We use a random search technique to find quantum gate sequences that implement perfect quantum state preparation or unitary operator synthesis with arbitrary targets. This approach is based on the recent discovery that there is a large…

量子物理 · 物理学 2024-10-25 Sahel Ashhab , Fumiki Yoshihara , Miwako Tsuji , Mitsuhisa Sato , Kouichi Semba

Clifford circuit optimization is an important step in the quantum compilation pipeline. Major compilers employ heuristic approaches. While they are fast, their results are often suboptimal. Minimization of noisy gates, like 2-qubit CNOT…

量子物理 · 物理学 2025-04-02 Irfansha Shaik , Jaco van de Pol

Quantum circuits of a general quantum gate acting on multiple $d$-level quantum systems play a prominent role in multi-valued quantum computation. We first propose a new recursive Cartan decomposition of semi-simple unitary Lie group…

量子物理 · 物理学 2024-05-29 Gui-Long Jiang , Wen-Qiang Liu , Hai-Rui Wei

In order for quantum computations to be done as efficiently as possible it is important to optimise the number of gates used in the underlying quantum circuits. In this paper we find that many gate optimisation problems for approximately…

量子物理 · 物理学 2024-08-13 John van de Wetering , Matt Amy

For universal quantum computation, a major challenge to overcome for practical implementation is the large amount of resources required for fault-tolerant quantum information processing. An important aspect is implementing arbitrary unitary…

量子物理 · 物理学 2021-02-17 Gary J. Mooney , Charles D. Hill , Lloyd C. L. Hollenberg

This paper introduces a new logic structure for reversible quantum circuit synthesis. Our synthesis method aims to minimize the quantum cost of reversible quantum circuits with decoders. In this method, multi-valued input, binary output…

量子物理 · 物理学 2026-01-07 Sonia Yang , Ali Al-Bayaty , Marek Perkowski

Compiling quantum circuits to account for hardware restrictions is an essential part of the quantum computing stack. Circuit compilation allows us to adapt algorithm descriptions into a sequence of operations supported by real quantum…

量子物理 · 物理学 2025-10-14 Alejandro Villoria , Henning Basold , Alfons Laarman

As quantum technology advances, the efficient design of quantum circuits has become an important area of research. This paper provides an introduction to the MCT quantum circuit design problem for reversible Boolean functions with the…

最优化与控制 · 数学 2025-07-10 Jihye Jung , Kevin Dalmeijer , Pascal Van Hentenryck

The work proposes an extension of the quantum circuit formalism where qubits (wires) are circular instead of linear. The left-to-right interpretation of a quantum circuit is replaced by a circular representation which allows to select the…

量子物理 · 物理学 2016-04-12 Alexandru Paler

The current phase of quantum computing is in the Noisy Intermediate-Scale Quantum (NISQ) era. On NISQ devices, two-qubit gates such as CNOTs are much noisier than single-qubit gates, so it is essential to minimize their count. Quantum…

量子物理 · 物理学 2022-03-24 Xin-Chuan Wu , Marc Grau Davis , Frederic T. Chong , Costin Iancu

Understanding entanglement cost in non-local quantum computation (NLQC) is relevant to complexity, cryptography, gravity, and other areas. This entanglement cost is largely uncharacterized; previous lower bound techniques apply to narrowly…

量子物理 · 物理学 2026-05-01 Richard Cleve , Alex May

We propose a method for exact circuit synthesis using a discrete gate set, as required for fault-tolerant quantum computing. Our approach translates the problem of synthesizing a gate specified by its unitary matrix into a boolean…

量子物理 · 物理学 2025-03-20 Élie Gouzien , Nicolas Sangouard

The reversible logic can be used in various research areas, e.g. quantum computation, cryptography and signal processing. In the paper we study reversible logic circuits with additional inputs, which consist of NOT, CNOT and…

计算复杂性 · 计算机科学 2016-03-22 Dmitry V. Zakablukov

The primary objective of quantum circuit synthesis is to efficiently and accurately realize specific quantum algorithms or operations utilizing a predefined set of quantum gates, while also optimizing the circuit size. It holds a pivotal…

量子物理 · 物理学 2025-10-22 Jialiang Tang , Jialin Zhang , Xiaoming Sun