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Related papers: Nonadiabatic holonomic multiqubit controlled gates

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The synthesis of quantum operators involves decomposing general quantum gates into the gate set supported by a given quantum device. Multi-controlled gates are essential components in this process. In this work, we present an improved…

Quantum Physics · Physics 2025-08-13 Jefferson D. S. Silva , Adenilton J. da Silva

We present some deterministic schemes to construct universal quantum gates, that is, controlled- NOT, three-qubit Toffoli, and Fredkin gates, between flying photon qubits and stationary electron-spin qubits assisted by quantum dots inside…

Quantum Physics · Physics 2015-06-12 Hai-Rui Wei , Fu-Guo Deng

The CNOT gate is a two-qubit gate which is essential for universal quantum computation. A well-established approach to implement it within Majorana-based qubits relies on subsequent measurement of (joint) Majorana parities. We propose an…

Mesoscale and Nanoscale Physics · Physics 2020-12-15 Alessio Calzona , Nicolas P. Bauer , Björn Trauzettel

Realization of quantum computing requires the development of high-fidelity quantum gates that are resilient to decoherence, control errors, and environmental noise. While non-adiabatic holonomic quantum computation (NHQC) offers a promising…

Quantum Physics · Physics 2024-12-04 Zhihuang Kang , Shutong Wu , Kunji Han , Jiamin Qiu , Joel Moser , Jie Lu , Ying Yan

Non-Abelian geometric phases acquired in cyclic quantum evolution can be utilized as natural resources for constructing robust holonomic gates for quantum information processing. Recently, an extensible holonomic quantum computation (HQC)…

Quantum Physics · Physics 2020-09-09 Bao-Jie Liu , Man-Hong Yung

Geometric phases are noise-resilient, and thus provide a robust way towards high fidelity quantum manipulation. Here we experimentally demonstrate arbitrary non-adiabatic holonomic single-qubit quantum gates for both a superconducting…

Quantum Physics · Physics 2018-09-14 Y. Xu , W. Cai , Y. Ma , X. Mu , L. Hu , Tao Chen , H. Wang , Y. P. Song , Zheng-Yuan Xue , Zhang-qi Yin , L. Sun

Geometric phases are robust to local noises and the nonadiabatic ones can reduce the evolution time, thus nonadiabatic geometric gates have strong robustness and can approach high fidelity. However, the advantage of geometric phase has not…

Quantum Physics · Physics 2024-02-22 Yue Chen , Li-Na Ji , Zheng-Yuan Xue , Yan Liang

It is proposed that high-speed universal quantum gates can be realized by using non-Abelian holonomic transformation. A cyclic evolution path which brings the system periodically back to a degenerate qubit subspace is crucial to holonomic…

Quantum Physics · Physics 2017-01-31 Jun Jing , Chi-Hang Lam , Lian-Ao Wu

A shortcut-to-adiabatic protocol for the realization of a fast and high-fidelity controlled-phase gate in Rydberg atoms is developed. The adiabatic state transfer, driven in the high-blockade limit, is sped up by compensating nonadiabatic…

Quantum Physics · Physics 2025-11-04 Luis S. Yagüe Bosch , Tim Ehret , Francesco Petiziol , Ennio Arimondo , Sandro Wimberger

Fast robust two-qubit gate operation with low susceptibility to crosstalk are the key to scalable quantum information processing. Parametrically driven gate is inherently insensitive to crosstalk while superadiabatic control can speed up…

We propose a new variant of the controlled-NOT quantum logic gate based on adiabatic level-crossing dynamics of the q-bits. The gate has a natural implementation in terms of the Cooper pair transport in arrays of small Josephson tunnel…

Quantum Physics · Physics 2009-10-30 D. V. Averin

A quantum computer based on an asymmetric coupled dot system has been proposed and shown to operate as the controlled-NOT-gate. The basic idea is (1) the electron is localized in one of the asymmetric coupled dots. (2)The electron transfer…

Quantum Physics · Physics 2008-12-18 Tetsufumi Tanamoto

In this Letter, we present two analytic expressions that most generally simulate $n$-qubit controlled-$U$ gates with standard one-qubit gates and CNOT gates using exponential and polynomial complexity respectively. Explicit circuits and…

Quantum Physics · Physics 2007-08-27 Yang Liu , Gui Lu Long , Yang Sun

We study a 2-qubit nuclear spin system for realizing an arbitrary geometric quantum phase gate by means of non-adiabatic operation. A single magnetic pulse with multi harmonic frequencies is applied to manipulate the quantum states of…

Quantum Physics · Physics 2009-11-13 Yu Tong , Ruibao Tao

Hybrid quantum gates hold great promise for quantum information processing since they preserve the advantages of different quantum systems. Here we present compact quantum circuits to deterministically implement controlled-NOT, Toffoli, and…

Quantum Physics · Physics 2017-03-03 Hai-Rui Wei , Gui Lu Long

Based on the geometrical nature of quantum phases, non-adiabatic holonomic quantum control (NHQC) has become a standard technique for enhancing robustness in constructing quantum gates. However, the conventional approach of NHQC is…

By using transitionless quantum driving algorithm (TQDA), we present an efficient scheme for the shortcuts to the holonomic quantum computation (HQC). It works in decoherence-free subspace (DFS) and the adiabatic process can be speeded up…

Quantum Physics · Physics 2016-02-17 Xue-Ke Song , Hao Zhang , Qing Ai , Jing Qiu , Fu-Guo Deng

Experimental realization of a universal set of quantum logic gates with high-fidelity is critical to quantum information processing, which is always challenging by inevitable interaction between the quantum system and environment. Geometric…

We propose a way to realize a multiqubit controlled phase gate with one qubit simultaneously controlling $n$ target qubits using atoms in cavity QED. In this proposal, there is no need of using classical pulses during the entire gate…

Quantum Physics · Physics 2013-07-05 Qi-Ping Su , Man Liu , Chui-Ping Yang

We propose a robust scheme involving atoms fixed in an optical cavity to directly implement the universal controlled-unitary gate. The present technique based on adiabatic passage uses novel dark states well suited for the…

Quantum Physics · Physics 2009-11-13 X. Lacour , N. Sangouard , S. Guerin , H. R. Jauslin