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We propose a new structure suitable for quantum computing in a solid state environment: designed defect states in antidot lattices superimposed on a two-dimensional electron gas at a semiconductor heterostructure. State manipulation can be…

介观与纳米尺度物理 · 物理学 2007-05-23 Christian Flindt , Niels Asger Mortensen , Antti-Pekka Jauho

We say that collection of $n$-qudit gates is universal if there exists $N_0\geq n$ such that for every $N\geq N_0$ every $N$-qudit unitary operation can be approximated with arbitrary precision by a circuit built from gates of the…

量子物理 · 物理学 2007-05-23 Gabor Ivanyos

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…

量子物理 · 物理学 2008-12-18 Tetsufumi Tanamoto

We employ optimal control theory to design optimized quantum gates for solid-state qubits subject to decoherence. At the example of a gate-controlled semiconductor quantum dot molecule we demonstrate that decoherence due to phonon couplings…

介观与纳米尺度物理 · 物理学 2007-05-23 Ulrich Hohenester

Continuous-time quantum walk is one of the alternative approaches to quantum computation, where a universal set of quantum gates can be achieved by scattering a quantum walker on some specially-designed structures embedded in a sparse graph…

量子物理 · 物理学 2023-05-11 Fan Wang , Bin Cheng , Zi-Wei Cui , Man-Hong Yung

We describe and discuss a solid state proposal for quantum computation with mobile spin qubits in one-dimensional systems, based on recent advances in spintronics. Static electric fields are used to implement a universal set of quantum…

介观与纳米尺度物理 · 物理学 2007-05-23 A. E. Popescu , R. Ionicioiu

Using transversal gates is a straightforward and efficient technique for fault-tolerant quantum computing. Since transversal gates alone cannot be computationally universal, they must be combined with other approaches such as magic state…

量子物理 · 物理学 2017-10-04 Eesa Nikahd , Mehdi Sedighi , Morteza Saheb Zamani

We consider the implementation of two-qubit unitary transformations by means of CNOT gates and single-qubit unitary gates. We show, by means of an explicit quantum circuit, that together with local gates three CNOT gates are necessary and…

量子物理 · 物理学 2009-11-10 G. Vidal , C. M. Dawson

A proof that continuous time quantum walks are universal for quantum computation, using unweighted graphs of low degree, has recently been presented by Childs [PRL 102 180501 (2009)]. We present a version based instead on the discrete time…

量子物理 · 物理学 2010-05-06 Neil B. Lovett , Sally Cooper , Matthew Everitt , Matthew Trevers , Viv Kendon

We describe criteria for implementation of quantum computation in qudits. A qudit is a d-dimensional system whose Hilbert space is spanned by states |0>, |1>,... |d-1>. An important earlier work of Mathukrishnan and Stroud [1] describes how…

量子物理 · 物理学 2009-11-10 Gavin K. Brennen , Dianne P. O'Leary , Stephen S. Bullock

We study quasi-exact quantum error correcting codes and quantum computation with them. A quasi-exact code is an approximate code such that it contains a finite number of scaling parameters, the tuning of which can flow it to corresponding…

量子物理 · 物理学 2020-07-29 Dong-Sheng Wang , Guanyu Zhu , Cihan Okay , Raymond Laflamme

We propose the generalized controlled X (GCX) gate as the two-qudit elementary gate, and based on Cartan decomposition, we also give the one-qudit elementary gates. Then we discuss the physical implementation of these elementary gates and…

量子物理 · 物理学 2015-06-12 Yao-Min Di , Hai-Rui Wei

We give quantum circuits that simulate an arbitrary two-qubit unitary operator up to global phase. For several quantum gate libraries we prove that gate counts are optimal in worst and average cases. Our lower and upper bounds compare…

量子物理 · 物理学 2013-05-29 Vivek V. Shende , Igor L. Markov , Stephen S. Bullock

A digital quantum simulator is an envisioned quantum device that can be pro- grammed to efficiently simulate any other local system. We demonstrate and investigate the digital approach to quantum simulation in a system of trapped ions.…

Geometric quantum computation relies on the geometric phase that arises in adiabatic cyclic evolutions of non-degenerate quantum systems, enabling the design of robust quantum gates. However, the adiabatic condition requires long evolution…

量子物理 · 物理学 2025-09-11 M. Estefanía Rus , Alejandro Ferrón , Omar Osenda , Sergio S. Gomez

Quantum computing promises to revolutionize several scientific and technological domains through fundamentally new ways of processing information. Among its most compelling applications is digital quantum simulation, where quantum computers…

量子物理 · 物理学 2026-02-05 Laurin E. Fischer

We show how to fully characterize a quantum process in an open quantum system. We particularize the procedure to the case of a universal two-qubit gate in a quantum computer. We illustrate the method with a numerical simulation of a quantum…

量子物理 · 物理学 2009-10-30 J. F. Poyatos , J. I. Cirac , P. Zoller

The first realization of solid state quantum computer was demonstrated recently by using artificial atoms -- transmons in superconducting resonator. Here, we propose a novel architecture of flexible and scalable quantum computer based on a…

量子物理 · 物理学 2015-05-20 Sergey A. Moiseev , Sergey N. Andrianov , Firdus F. Gubaidullin

Near-term quantum computers are primarily limited by errors in quantum operations (or gates) between two quantum bits (or qubits). A physical machine typically provides a set of basis gates that include primitive 2-qubit (2Q) and 1-qubit…

We show how it is possible to realize quantum computations on a system in which most of the parameters are practically unknown. We illustrate our results with a novel implementation of a quantum computer by means of bosonic atoms in an…

量子物理 · 物理学 2007-05-23 J. J. Garcia-Ripoll , J. I. Cirac