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A universal set of quantum gates is constructed for the recently developed jump-error correcting quantum codes. These quantum codes are capable of correcting errors arising from the spontaneous decay of distinguishable qubits into…

量子物理 · 物理学 2007-05-23 G. Alber , M. Mussinger , A. Delgado

This study presents a roadmap towards utilizing a single arbitrary gate for universal quantum computing. Since two decades ago, it has been widely accepted that almost any single arbitrary gate with qubit number $>2$ is universal. Utilizing…

量子物理 · 物理学 2024-10-01 Zhong-Yi Ni , Yu-Sheng Zhao , Jin-Guo Liu

The most general structure (in matrix form) of a single-qubit gate is presented. Subsequently, used that to obtain a set of conditions for testing (a) whether a given 2-qubit gate is genuinely a 2-qubit gate, i.e., not decomposable into two…

量子物理 · 物理学 2017-02-22 Kishore Thapliyal , Anirban Pathak

This work proposes numerical tests which determine whether a two-qubit operator has an atypically simple quantum circuit. Specifically, we describe formulae, written in terms of matrix coefficients, characterizing operators implementable…

量子物理 · 物理学 2009-11-10 Vivek V. Shende , Stephen S. Bullock , Igor L. Markov

The universal quantum computer is a device capable of simulating any physical system and represents a major goal for the field of quantum information science. Algorithms performed on such a device are predicted to offer significant gains…

量子物理 · 物理学 2010-01-04 D. Hanneke , J. P. Home , J. D. Jost , J. M. Amini , D. Leibfried , D. J. Wineland

Any unitary transformation of quantum computational networks is explicitly decomposed, in an exact and unified form, into a sequence of a limited number of one-qubit quantum gates and the two-qubit diagonal gates that have diagonal unitary…

量子物理 · 物理学 2007-05-23 Xijia Miao

We first consider various methods for the indirect implementation of unitary gates. We apply these methods to rederive the universality of 4-qubit measurements based on a scheme much simpler than Nielsen's original construction…

量子物理 · 物理学 2007-05-23 Debbie W. Leung

We demonstrate that in a coupled two-qubit system any single-qubit gate can be decomposed into two conditional two-qubit gates and that any conditional two-qubit gate can be implemented by a manipulation analogous to that used for a…

量子物理 · 物理学 2009-11-11 Zhongyuan Zhou , Shih-I Chu , Siyuan Han

We consider the problem of deciding if a set of quantum one-qudit gates $\mathcal{S}=\{U_1,\ldots,U_n\}$ is universal. We provide the compact form criteria leading to a simple algorithm that allows deciding universality of any given set of…

量子物理 · 物理学 2017-06-09 Adam Sawicki , Katarzyna Karnas

The model of open quantum systems is adopted to describe the non-local dynamical behaviour of qubits processed by entangling gates. The analysis gets to the conclusion that a distinction between evaluation steps and task-oriented computing…

量子物理 · 物理学 2015-12-24 Stefano Bonzio , Paola Verrucchi

Universal quantum computing relies on high-fidelity entangling operations. Here we demonstrate that four coupled qubits can operate as a quantum gate, where two qubits control the operation on two target qubits (a four-qubit gate). This…

We propose a set of universal gate operations for the singlet-triplet qubit realized by two electron spins in a double quantum dot, in the presence of a fixed inhomogeneous magnetic field. All gate operations are achieved by switching the…

介观与纳米尺度物理 · 物理学 2009-11-11 Ronald Hanson , Guido Burkard

Computations with a future quantum computer will be implemented through the operations by elementary quantum gates. It is now well known that the collection of 1-bit and 2-bit quantum gates are universal for quantum computation, i.e., any…

量子物理 · 物理学 2007-05-23 G. Chen , D. A. Church , B. -G. Englert , M. S. Zubairy

A universal quantum computing scheme, with a universal set of logical gates, is proposed based on networks of 1D quantum systems. The encoding of information is in terms of universal features of gapped phases, for which effective field…

量子物理 · 物理学 2019-07-24 Dong-Sheng Wang

Single qubit rotation gate and the controlled-NOT (CNOT) gate constitute a complete set of gates for universal quantum computation. In general the CNOT gate are only for two nearby qubits. For two qubits which are remote from each other, we…

量子物理 · 物理学 2009-09-29 Gui-Fang Dang , Heng Fan

In parity quantum computing, multi-qubit logical gates are implemented by single-qubit rotations on a suitably encoded state involving auxiliary qubits. Consequently, there is a correspondence between qubit count and the size of the native…

We propose a new implementation of a universal set of one- and two-qubit gates for quantum computation using the spin states of coupled single-electron quantum dots. Desired operations are effected by the gating of the tunneling barrier…

介观与纳米尺度物理 · 物理学 2009-10-30 Daniel Loss , David P. DiVincenzo

The promise of tremendous computational power, coupled with the development of robust error-correcting schemes, has fuelled extensive efforts to build a quantum computer. The requirements for realizing such a device are confounding:…

量子物理 · 物理学 2011-08-17 J L O'Brien , G J Pryde , A G White , T C Ralph , D Branning

Universal set of quantum gates are realized from the conduction-band electron spin qubits of quantum dots embedded in a microcavity via two-channel Raman interaction. All of the gate operations are independent of the cavity mode states,…

量子物理 · 物理学 2007-12-20 Ping Dong , Ming Yang , Zhuo-Liang Cao

Producing and maintaining entanglement reside at the heart of the optimal construction of quan- tum operations and are fundamental issues in the realization of universal quantum computation. We here introduce a setup of spin qubits that…

量子物理 · 物理学 2017-07-12 Vahid Azimi Mousolou