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We present a systematic method for constructing universal composite phase gates with a continuously tunable target phase. Using a general Cayley--Klein parametrization of the single-pulse propagator, we design gates from an even number of…

量子物理 · 物理学 2026-01-21 Peter Chernev , Mouhamad Al-Mahmoud , Andon A. Rangelov

This paper explains some fundamental ideas of {\em feedback} control of quantum systems through the study of a relatively simple two-level system coupled to optical field channels. The model for this system includes both continuous and…

量子物理 · 物理学 2014-06-23 Matthew James

We study the minimum time to implement an arbitrary two-qubit gate in two heteronuclear spins systems. We give a systematic characterization of two-qubit gates based on the invariants of local equivalence. The quantum gates are classified…

量子物理 · 物理学 2020-02-12 Bao-Zhi Sun , Shao-Ming Fei , Naihuan Jing , Xianqing Li-Jost

In quantum mechanics, it is often thought that the spin of an object points in a fixed direction at any point in time. For example, after selecting the z-direction as the axis of quantization, a spin-1/2 object (such as an electron) may…

量子物理 · 物理学 2020-01-16 Stuart Samuel

Quantum gates based on geometric phases possess intrinsic noise-resilience features and therefore attract much attention. However, the implementations of previous geometric quantum computation typically require a long pulse time of gates.…

量子物理 · 物理学 2022-10-10 Zhuang Ma , Jianwen Xu , Tao Chen , Yu Zhang , Wen Zheng , Dong Lan , Zheng-Yuan Xue , Xinsheng Tan , Yang Yu

We propose a new class of unconventional geometric gates involving nonzero dynamic phases, and elucidate that geometric quantum computation can be implemented by using these gates. Comparing with the conventional geometric gate operation,…

量子物理 · 物理学 2009-11-10 S. -L. Zhu , Z. D. Wang

A possibility of performing the C-NOT gate operation at the ground and the first excited states of two harmonic oscillators interacting via a two-level system subject to complete control is demonstrated. The system resembles Turing machine,…

量子物理 · 物理学 2018-01-17 V. M. Akulin

Abelian and Non-Abelian evolution of a quantum system manifests differently in the geometric phase acquired by the system under such evolutions. In this work we develop and study, using dressed state techniques, an experimentally realizable…

量子物理 · 物理学 2014-10-21 Debashis De Munshi , Manas Mukherjee

We have developed methods for performing qudit quantum computation in the Jaynes-Cummings model with the qudits residing in a finite subspace of individual harmonic oscillator modes, resonantly coupled to a spin-1/2 system. The first method…

量子物理 · 物理学 2013-03-14 Brian Mischuck , Klaus Mølmer

Single qubit rotations and two-qubit CNOT operations are crucial ingredients for universal quantum computing. While high fidelity single qubit operations have been achieved using the electron spin degree of freedom, realizing a robust CNOT…

量子物理 · 物理学 2018-02-02 D. M. Zajac , A. J. Sigillito , M. Russ , F. Borjans , J. M. Taylor , G. Burkard , J. R. Petta

Several topics on the implementation of spin qubits in quantum dots are reviewed. We first provide an introduction to the standard model of quantum computing and the basic criteria for its realization. Other alternative formulations such as…

介观与纳米尺度物理 · 物理学 2010-07-20 Robert Andrzej Żak , Beat Röthlisberger , Stefano Chesi , Daniel Loss

We study the implementation of quantum channels with quantum computers while minimizing the experimental cost, measured in terms of the number of Controlled-NOT (C-NOT) gates required (single-qubit gates are free). We consider three…

量子物理 · 物理学 2017-05-17 Raban Iten , Roger Colbeck , Matthias Christandl

Quantum control allows a wide range of quantum operations employed in molecular physics, nuclear magnetic resonance and quantum information processing. Thanks to the existing microelectronics industry, semiconducting qubits, where quantum…

量子物理 · 物理学 2024-12-05 Jia-Ao Peng , Chu-Dan Qiu , Wen-Long Ma , Jun-Wei Luo

This article is a short introduction to the general topic of quantum spin systems. After a brief sketch of the history of the subject, the standard mathematical framework for formulating problems and results in quantum spin systems is…

数学物理 · 物理学 2007-05-23 Bruno Nachtergaele

We consider a generic elementary gate sequence which is needed to implement a general quantum gate acting on n qubits -- a unitary transformation with 4^n degrees of freedom. For synthesizing the gate sequence, a method based on the…

量子物理 · 物理学 2009-11-10 Mikko Mottonen , Juha J. Vartiainen , Ville Bergholm , Martti M. Salomaa

We study the simulation of a single qubit rotation and Controlled-Not gate in a solid state one-dimensional chain of nuclear spins system interacting weakly through an Ising type of interaction with a modular component of the magnetic field…

量子物理 · 物理学 2012-05-30 G. V. Lopez , M. Avila

The implementation of a universal quantum processor still poses fundamental issues related to error mitigation and correction, which demand to investigate also platforms and computing schemes alternative to the main stream. A possibility is…

量子物理 · 物理学 2023-07-25 A. Chiesa , S. Roca , S. Chicco , M. C. de Ory , A. Gómez-León , A. Gómez , D. Zueco , F. Luis , S. Carretta

We report on the behaviour of two-level quantum systems, or qubits, in the background of rotating and non-rotating metrics and provide a method to derive the related spin currents and motions. The calculations are performed in the external…

广义相对论与量子宇宙学 · 物理学 2019-05-16 Giorgio Papini

We discuss and implement experimentally a method for characterizing quantum gates operating on superpositions of coherent states. The peculiarity of this encoding of qubits is to work with a non-orthogonal basis, and therefore some…

We consider the full driven quantum dynamics of a qubit realized as spin of electron in a one-dimensional double quantum dot with spin-orbit coupling. The driving perturbation is taken in the form of a single half-period pulse of electric…

介观与纳米尺度物理 · 物理学 2010-09-28 D. V. Khomitsky , E. Ya. Sherman
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