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We present numerical results which show how two-bit logic gates can be used in the design of a quantum computer. We show that the Toffoli gate, which is a universal gate for all classical reversible computation, can be implemented using a…

Condensed Matter · Physics 2007-05-23 David P. DiVincenzo , John Smolin

In quantum computation every unitary operation can be decomposed into quantum circuits-a series of single-qubit rotations and a single type entangling two-qubit gates, such as controlled-NOT (CNOT) gates. Two measures are important when…

Quantum Physics · Physics 2011-03-07 Martin Plesch , Časlav Brukner

Quantum circuits currently constitute a dominant model for quantum computation. Our work addresses the problem of constructing quantum circuits to implement an arbitrary given quantum computation, in the special case of two qubits. We…

Quantum Physics · Physics 2009-11-07 Stephen S. Bullock , Igor L. Markov

The native gate set is fundamental to the performance of quantum devices, as it governs the accuracy of basic quantum operations and dictates the complexity of implementing quantum algorithms. Traditional approaches to extending gate sets…

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 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…

Quantum Physics · Physics 2013-05-29 Vivek V. Shende , Igor L. Markov , Stephen S. Bullock

We demonstrate that conditional as well as unconditional basic operations which are prerequisite for universal quantum gates can be performed with almost 100% fidelity within a strongly interacting two-electron quantum ring. Both sets of…

Mesoscale and Nanoscale Physics · Physics 2016-08-14 Lene Sælen , Erik Waltersson , J. P. Hansen , Eva Lindroth

There are various gate sets that can be used to describe a quantum computation. A particularly popular gate set in the literature on quantum computing consists of arbitrary single-qubit gates and 2-qubit CNOT gates. A CNOT gate is however…

Quantum Physics · Physics 2022-09-05 John van de Wetering

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…

Quantum Physics · Physics 2007-05-23 G. Alber , M. Mussinger , A. Delgado

We study the computation power of lattices composed of two dimensional systems (qubits) on which translationally invariant global two-qubit gates can be performed. We show that if a specific set of 6 global two qubit gates can be performed,…

Quantum Physics · Physics 2014-03-06 G. Ivanyos , S. Massar , A. B. Nagy

As a variety of quantum computing models and platforms become available, methods for assessing and comparing the performance of these devices are of increasing interest and importance. Despite being built of the same fundamental…

Quantum Physics · Physics 2021-08-26 Adrien Suau , Jon Nelson , Marc Vuffray , Andrey Y. Lokhov , Lukasz Cincio , Carleton Coffrin

Quantum computing has tremendous potential to overcome some of the fundamental limitations present in classical information processing. Yet, today's technological limitations in the quality and scaling prevent exploiting its full potential.…

Quantum Physics · Physics 2024-08-23 Leonid Abdurakhimov , Janos Adam , Hasnain Ahmad , Olli Ahonen , Manuel Algaba , Guillermo Alonso , Ville Bergholm , Rohit Beriwal , Matthias Beuerle , Clinton Bockstiegel , Alessio Calzona , Chun Fai Chan , Daniele Cucurachi , Saga Dahl , Rakhim Davletkaliyev , Olexiy Fedorets , Alejandro Gomez Frieiro , Zheming Gao , Johan Guldmyr , Andrew Guthrie , Juha Hassel , Hermanni Heimonen , Johannes Heinsoo , Tuukka Hiltunen , Keiran Holland , Juho Hotari , Hao Hsu , Antti Huhtala , Eric Hyyppä , Aleksi Hämäläinen , Joni Ikonen , Sinan Inel , David Janzso , Teemu Jaakkola , Mate Jenei , Shan Jolin , Kristinn Juliusson , Jaakko Jussila , Shabeeb Khalid , Seung-Goo Kim , Miikka Koistinen , Roope Kokkoniemi , Anton Komlev , Caspar Ockeloen-Korppi , Otto Koskinen , Janne Kotilahti , Toivo Kuisma , Vladimir Kukushkin , Kari Kumpulainen , Ilari Kuronen , Joonas Kylmälä , Niclas Lamponen , Julia Lamprich , Alessandro Landra , Martin Leib , Tianyi Li , Per Liebermann , Aleksi Lintunen , Wei Liu , Jürgen Luus , Fabian Marxer , Arianne Meijer-van de Griend , Kunal Mitra , Jalil Khatibi Moqadam , Jakub Mrożek , Henrikki Mäkynen , Janne Mäntylä , Tiina Naaranoja , Francesco Nappi , Janne Niemi , Lucas Ortega , Mario Palma , Miha Papič , Matti Partanen , Jari Penttilä , Alexander Plyushch , Wei Qiu , Aniket Rath , Kari Repo , Tomi Riipinen , Jussi Ritvas , Pedro Figueroa Romero , Jarkko Ruoho , Jukka Räbinä , Sampo Saarinen , Indrajeet Sagar , Hayk Sargsyan , Matthew Sarsby , Niko Savola , Mykhailo Savytskyi , Ville Selinmaa , Pavel Smirnov , Marco Marín Suárez , Linus Sundström , Sandra Słupińska , Eelis Takala , Ivan Takmakov , Brian Tarasinski , Manish Thapa , Jukka Tiainen , Francesca Tosto , Jani Tuorila , Carlos Valenzuela , David Vasey , Edwin Vehmaanperä , Antti Vepsäläinen , Aapo Vienamo , Panu Vesanen , Alpo Välimaa , Jaap Wesdorp , Nicola Wurz , Elisabeth Wybo , Lily Yang , Ali Yurtalan

The speed of elementary quantum gates, particularly two-qubit gates, ultimately sets the limit on the speed at which quantum circuits can operate. In this work, we experimentally demonstrate commonly used two-qubit gates at nearly the…

The ability to perform entangling quantum operations with low error rates in a scalable fashion is a central element of useful quantum information processing. Neutral atom arrays have recently emerged as a promising quantum computing…

Quantum computation requires the precise control of the evolution of a quantum system, typically through application of discrete quantum logic gates on a set of qubits. Here, we use the cross-resonance interaction to implement a gate…

A quantum computer consists of a set of quantum bits upon which operations called gates are applied to perform computations. In order to perform quantum algorithms, physicists would like to design arbitrary gates to apply to quantum bits.…

Quantum Physics · Physics 2012-06-18 Jeffrey Booth

We propose a method for implementation of an universal set of one- and two-quantum-bit gates for quantum computation in the system of two coupled electrons with constant non-diagonal exchange interaction. Suppression of the exchange…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 A. V. Nenashev , A. F. Zinovieva , A. V. Dvurechenskii , A. Yu. Gornov , T. S. Zarodnyuk

Capacitively coupled semiconductor spin qubits hold promise as the building blocks of a scalable quantum computing architecture with long-range coupling between distant qubits. However, the two-qubit gate fidelities achieved in experiments…

Mesoscale and Nanoscale Physics · Physics 2015-10-29 Xin Wang , Edwin Barnes , S. Das Sarma

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…

Quantum Physics · Physics 2010-01-04 D. Hanneke , J. P. Home , J. D. Jost , J. M. Amini , D. Leibfried , D. J. Wineland

Quantum computers are on the brink of surpassing the capabilities of even the most powerful classical computers. This naturally raises the question of how one can trust the results of a quantum computer when they cannot be compared to…