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Quantum computers comprise elementary logic gates that initialize, control and measure delicate quantum states. One of the most important gates is the controlled-NOT, which is widely used to prepare two-qubit entangled states. The…

量子物理 · 物理学 2024-01-04 Robert J. Chapman , Samuel Häusler , Giovanni Finco , Fabian Kaufmann , Rachel Grange

Prevailing proposals for the first generation of quantum computers make use of 2-level systems, or qubits, as the fundamental unit of quantum information. However, recent innovations in quantum error correction and magic state distillation…

量子物理 · 物理学 2019-02-18 Luke E. Heyfron , Earl Campbell

Quantum circuits are time dependent diagrams describing the process of quantum computation. Usually, a quantum algorithm must be mapped into a quantum circuit. Optimal synthesis of quantum circuits is intractable and heuristic methods must…

量子物理 · 物理学 2008-02-27 D. Maslov , G. W. Dueck , D. M. Miller , C. Negrevergne

Quantum error correction is a crucial step beyond the current noisy-intermediate-scale quantum device towards fault-tolerant quantum computing. However, most of the error corrections ever demonstrated rely on post-selection of events or…

量子物理 · 物理学 2021-09-07 Toshiaki Inada , Wonho Jang , Yutaro Iiyama , Koji Terashi , Ryu Sawada , Junichi Tanaka , Shoji Asai

We consider quantum circuits composed of Clifford and T gates. In this context the T gate has a special status since it confers universal computation when added to the (classically simulable) Clifford gates. However it can be very expensive…

量子物理 · 物理学 2013-08-21 David Gosset , Vadym Kliuchnikov , Michele Mosca , Vincent Russo

The decomposition of complex quantum operations into experimentally feasible gate sets has been a central challenge since the early development of quantum computing. The multi-controlled Toffoli (MCT) gate is a key example, with…

量子物理 · 物理学 2026-04-29 Spyros Tserkis , Muhammad Umer , Eleftherios Mastorakis , Dimitris G. Angelakis

Universal gate sets for quantum computation, when single and two qubit operations are accessible, include both Hermitian and non-Hermitian gates. Here we utilize the fact that any single-qubit operator may be implemented as two Hermitian…

量子物理 · 物理学 2025-12-03 Ben Zindorf , Sougato Bose

The circuit model of a quantum computer consists of sequences of gate operations between quantum bits (qubits), drawn from a universal family of discrete operations. The ability to execute parallel entangling quantum gates offers clear…

量子物理 · 物理学 2021-11-19 C. Figgatt , A. Ostrander , N. M. Linke , K. A. Landsman , D. Zhu , D. Maslov , C. Monroe

We demonstrate the use of optimal control to design two entropy-manipulating quantum gates which are more complex than the corresponding, commonly used, gates, such as CNOT and Toffoli (CCNOT): A 2-qubit gate called PE (polarization…

量子物理 · 物理学 2014-11-19 Yosi Atia , Yuval Elias , Tal Mor , Yossi Weinstein

We consider the decomposition of arbitrary isometries into a sequence of single-qubit and Controlled-NOT (C-NOT) gates. In many experimental architectures, the C-NOT gate is relatively 'expensive' and hence we aim to keep the number of…

量子物理 · 物理学 2020-04-10 Raban Iten , Roger Colbeck , Ivan Kukuljan , Jonathan Home , Matthias Christandl

In this paper, with the weak cross-Kerr nonlinearity, we first present a special experimental scheme called C-path gate with which the realization of all possible bipartite POVMs of two-photon polarization states can be simpler and nearly…

量子物理 · 物理学 2009-02-26 Qing Lin , Jian Li

The circuit model of quantum computation can be interpreted as a scattering process. In particular, factorised scattering operators result in integrable quantum circuits that provide universal quantum computation and are potentially less…

量子物理 · 物理学 2024-05-28 Akash Sinha , Pramod Padmanabhan , Vladimir Korepin

We use machine learning techniques to design a 50 ns three-qubit flux-tunable controlled-controlled-phase gate with fidelity of >99.99% for nearest-neighbor coupled transmons in circuit quantum electrodynamics architectures. We explain our…

All-to-all interactions arise naturally in many areas of theoretical physics and across diverse experimental quantum platforms, motivating a systematic study of their information-processing power. Assuming each pair of qubits interacts with…

量子物理 · 物理学 2025-10-01 Chao Yin

The problems related to the management of large quantum registers could be handled in the context of distributed quantum computation: unitary non-local transformations among spatially separated local processors are realized performing local…

量子物理 · 物理学 2015-06-26 M. Paternostro , M. S. Kim , G. M. Palma

Universal quantum gates lie at the heart of designing quantum computer. We construct two compact quantum circuits to implement post-selected controlled-phase-flip (CPF) gate and Toffoli gate with linear optics assisted by one and two single…

量子物理 · 物理学 2022-11-18 Wen-Qiang Liu , Hai-Rui Wei

Numerous scientific developments in this NISQ-era (Noisy Intermediate Scale Quantum) have raised the importance for quantum algorithms relative to their conventional counterparts due to its asymptotic advantage. For resource estimates in…

量子物理 · 物理学 2023-09-13 Amit Saha , Anupam Chattopadhyay , Amlan Chakrabarti

In this paper we present a method for minimizing reversible quantum circuits using the Quantum Operator Form (QOF); a new representation of quantum circuit and of quantum-realized reversible circuits based on the CNOT, CV and CV$^\dagger$…

量子物理 · 物理学 2017-01-10 Martin Lukac , Michitaka Kameyama , Marek Perkowski , Pawel Kerntopf

We propose a many-qubit network with cavity QED by encoding qubits in decoherence-free subspace, based on which we can implement many-logic-qubit conditional gates by means of cavity assisted interaction with single-photon pulses. Our…

量子物理 · 物理学 2009-11-13 Hua Wei , Wan Li Yang , Zhi Jiao Deng , Mang Feng

An $(n+1)$-bit Toffoli gate is mainly utilized to construct other quantum gates and operators, such as Fredkin gates, arithmetical adders, and logical comparators, where $n \geq 2$. Several researchers introduced different methods to…

量子物理 · 物理学 2025-11-03 Shanyan Chen , Ali Al-Bayaty , Xiaoyu Song , Marek Perkowski