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We describe an array of quantum gates implementing Shor's algorithm for prime factorization in a quantum computer. The array includes a circuit for modular exponentiation with several subcomponents (such as controlled multipliers, adders,…

Quantum Physics · Physics 2009-10-30 Cesar Miquel , Juan Pablo Paz , Roberto Perazzo

Just as classical computing relies on distributed systems, the quantum computing era requires new kinds of infrastructure and software tools. Quantum networks will become the backbone of hybrid, quantum-augmented data centers, in which…

A Toffoli gate ($C^{n}$-NOT gate) is regarded as an important unitary gate in quantum computation, and is simulated by a quantum circuit composed of $C^{2}$-NOT gates. This paper presents a quantum circuit with a new configuration of…

Quantum Physics · Physics 2007-05-23 Masanari Asano , Chikara Ishii

Distributed quantum computing (DQC) connects many small quantum processors into a single logical machine, offering a practical route to scalable quantum computation. However, most existing DQC paradigms are structure-agnostic. Circuit…

Quantum Physics · Physics 2026-03-10 Yuwen Huang , Xiaojun Lin , Bin Luo , John C. S. Lui

Quantum computing has garnered attention for its potential to solve complex computational problems with considerable speedup. Despite notable advancements in the field, achieving meaningful scalability and noise control in quantum hardware…

Quantum Physics · Physics 2025-05-12 Eduardo Willwock Lussi , Rafael de Santiago , Eduardo Inacio Duzzioni

Toponomic quantum computing (TQC) employs rotation sequences of anticoherent $k$-planes to construct noise-tolerant quantum gates. In this work, we demonstrate the implementation of generalized Toffoli gates, using $k$-planes of spin…

The round-robin differential phase-shift quantum key distribution protocol provides a secure way to exchange private information without monitoring conventional disturbances and still maintains a high tolerance of noise, making it desirable…

Quantum Physics · Physics 2016-02-25 Hua-Lei Yin , Yao Fu , Yingqiu Mao , Zeng-Bing Chen

Private distributed learning studies the problem of how multiple distributed entities collaboratively train a shared deep network with their private data unrevealed. With the security provided by the protocols of blind quantum computation,…

Quantum Physics · Physics 2021-11-01 Weikang Li , Sirui Lu , Dong-Ling Deng

We present a constructive method to create quantum circuits that implement oracles $|x\rangle|y\rangle|0\rangle^k \mapsto |x\rangle|y \oplus f(x)\rangle|0\rangle^k$ for $n$-variable Boolean functions $f$ with low $T$-count. In our method…

Quantum Physics · Physics 2019-08-06 Giulia Meuli , Mathias Soeken , Earl Campbell , Martin Roetteler , Giovanni De Micheli

Fully-homomorphic encryption (FHE) enables computation on encrypted data while maintaining secrecy. Recent research has shown that such schemes exist even for quantum computation. Given the numerous applications of classical FHE…

Quantum Physics · Physics 2018-02-27 Gorjan Alagic , Yfke Dulek , Christian Schaffner , Florian Speelman

Quantum information technology has the potential to revolutionize computing, communications, and security. To fully realize its potential, quantum processors with millions of qubits are needed, which is still far from being accomplished.…

Quantum Physics · Physics 2023-12-12 Nicholas Skjellum , Mohamed Shaban , Muhammad Ismail

Variational quantum algorithms, inspired by neural networks, have become a novel approach in quantum computing. However, designing efficient parameterized quantum circuits remains a challenge. Quantum architecture search tackles this by…

Quantum Physics · Physics 2024-08-02 Haozhen Situ , Zhimin He , Shenggen Zheng , Lvzhou Li

Secure multiparty computation (MPC) schemes allow two or more parties to conjointly compute a function on their private input sets while revealing nothing but the output. Existing state-of-the-art number-theoretic-based designs face the…

Quantum Physics · Physics 2024-07-18 Tapaswini Mohanty , Vikas Srivastava , Sumit Kumar Debnath , Pantelimon Stanica

An efficient technique of computing on encrypted data allows a client with limited capability to perform complex operations on a remote fault-tolerant server without leaking anything about the input or output. Quantum computing provides…

Quantum Physics · Physics 2025-09-25 Mohit Joshi , Manoj Kumar Mishra , S. Karthikeyan

Fully homomorphic encryption enables arbitrary computation on encrypted data without decrypting the data. Here it is studied in the context of quantum information processing. Based on universal quantum circuit, we present a quantum fully…

Quantum Physics · Physics 2015-07-23 Min Liang

Simulating quantum circuits on classical computers is a notoriously hard, yet increasingly important task for the development and testing of quantum algorithms. In order to alleviate this inherent complexity, efficient data structures and…

Quantum Physics · Physics 2022-09-08 Lukas Burgholzer , Alexander Ploier , Robert Wille

The three-qubit Toffoli gate plays an important role in quantum error correction and complex quantum algorithms such as Shor's factoring algorithm, motivating the search for efficient implementations of this gate. Here we introduce a…

Mesoscale and Nanoscale Physics · Physics 2019-08-15 M. J. Gullans , J. R. Petta

The progress in building quantum computers to execute quantum algorithms has recently been remarkable. Grover's search algorithm in a binary quantum system provides considerable speed-up over classical paradigm. Further, Grover's algorithm…

Quantum Physics · Physics 2022-08-24 Amit Saha , Ritajit Majumdar , Debasri Saha , Amlan Chakrabarti , Susmita Sur-Kolay

Cloud-based quantum computing, coupled with the rapid progress in quantum algorithms, brings to the forefront the question of verifiability in delegated quantum computations. In the current landscape of noisy quantum devices, this question…

Quantum Physics · Physics 2025-12-01 Anne Broadbent , Joshua Nevin

This paper presents a novel approach for minimizing the number of teleportations in Distributed Quantum Computing (DQC) using formal methods. Quantum teleportation plays a major role in communicating quantum information. As such, it is…

Emerging Technologies · Computer Science 2024-04-25 Ali Ebnenasir , Kieran Young