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In this paper we show that it is possible to adapt a qudit scheme for creating a controlled-Toffoli created by Ralph et al. [Phys. Rev. A 75 011213] to be applicable to qubits. While this scheme requires more gates than standard schemes for…

Quantum Physics · Physics 2013-04-23 Katherine L. Brown , Anmer Daskin , Sabre Kais , Jonathan P. Dowling

Most quantum computing architectures to date natively support multi-valued logic, albeit being typically operated in a binary fashion. Multi-valued, or qudit, quantum processors have access to much richer forms of quantum entanglement,…

Quantum Physics · Physics 2023-01-12 Kevin Mato , Martin Ringbauer , Stefan Hillmich , Robert Wille

Number-conserving cellular automata (NCCA) are particularly interesting, both because of their natural appearance as models of real systems, and because of the strong restrictions that number-conservation implies. Here we extend the…

Cellular Automata and Lattice Gases · Physics 2007-05-23 Andres Moreira

A minimalistic model for chimera states is presented. The model is a cellular automaton (CA) which depends on only one adjustable parameter, the range of the nonlocal coupling, and is built from elementary cellular automata and the majority…

Pattern Formation and Solitons · Physics 2016-05-25 Vladimir García-Morales

We formulate a new concept for computing with quantum cellular automata composed of arrays of nanostructured superconducting devices. The logic states are defined by the position of two trapped flux quanta (vortices) in a 2x2…

Superconductivity · Physics 2009-11-13 M. V. Milosevic , G. R. Berdiyorov , F. M. Peeters

Quantum finite automata (QFAs) literature offers an alternative mathematical model for studying quantum systems with finite memory. As a superiority of quantum computing, QFAs have been shown exponentially more succinct on certain problems…

Quantum Physics · Physics 2021-05-14 Utku Birkan , Özlem Salehi , Viktor Olejar , Cem Nurlu , Abuzer Yakaryılmaz

We provide algebraic criteria for the unitarity of linear quantum cellular automata, i.e. one dimensional quantum cellular automata. We derive these both by direct combinatorial arguments, and by adding constraints into the model which do…

Quantum Physics · Physics 2017-08-29 Pablo Arrighi

Although qubits are the leading candidate for the basic elements in a quantum computer, there are also a range of reasons to consider using higher dimensional qudits or quantum continuous variables (QCVs). In this paper we use a general…

Quantum Physics · Physics 2017-05-11 Timothy Proctor , Melissa Giulian , Natalia Korolkova , Erika Andersson , Viv Kendon

We propose a quantum computer architecture involving substitutional donors in photonic-crystal silicon cavities and the optical initialization, manipulation, and detection processes already demonstrated in ion traps and other atomic…

Mesoscale and Nanoscale Physics · Physics 2008-11-25 M. Abanto , L. Davidovich , Belita Koiller , R. L. de Matos Filho

Progress in quantum hardware design is progressing toward machines of sufficient size to begin realizing quantum algorithms in disciplines such as encryption and physics. Quantum circuits for addition are crucial to realize many quantum…

Quantum Physics · Physics 2021-06-10 Himanshu Thapliyal , Edgard Muñoz-Coreas , Vladislav Khalus

A scalable quantum information processing architecture based on silicon metal-oxide-semiconductor technology is presented, combining quantum hardware elements from planar and 3D silicon-on-insulator technologies. This architecture is…

Quantum Physics · Physics 2022-08-22 Michael A. Fogarty

Quantum computing is a new model of computation, based on quantum physics. Quantum computers can be exponentially faster than conventional computers for problems such as factoring. Besides full-scale quantum computers, more restricted…

Formal Languages and Automata Theory · Computer Science 2018-07-05 Andris Ambainis , Abuzer Yakaryılmaz

Goldilocks quantum cellular automata (QCA) have been simulated on quantum hardware and produce emergent small-world correlation networks. In Goldilocks QCA, a single-qubit unitary is applied to each qubit in a one-dimensional chain subject…

We propose an alternative scheme to implement a two-qubits Controlled-U gate in the hybrid system atom-$CCA$ (coupled cavities array). Our scheme results in a constant gating time and, with an adjustable qubit-bus coupling (atom-resonator),…

Quantum Physics · Physics 2015-05-28 Bruno F. C. Yabu-uti , José A. Roversi

Recent advances in nanotechnology have enabled researchers to manipulate small collections of quantum mechanical objects with unprecedented accuracy. In semiconductor quantum dot qubits, this manipulation requires controlling the dot…

Mesoscale and Nanoscale Physics · Physics 2019-03-06 Adam Frees , John King Gamble , Daniel R. Ward , Robin Blume-Kohout , M. A. Eriksson , Mark Friesen , S. N. Coppersmith

We present the design and evaluation of a quantum carry-lookahead adder (QCLA) using measurement-based quantum computation (MBQC), called MBQCLA. QCLA was originally designed for an abstract, concurrent architecture supporting long-distance…

Quantum Physics · Physics 2010-10-04 Agung Trisetyarso , Rodney Van Meter

Research on quantum computing has recently gained significant momentum since first physical devices became available. Many quantum algorithms make use of so-called oracles that implement Boolean functions and are queried with highly…

Quantum Physics · Physics 2019-06-07 Alwin Zulehner , Philipp Niemann , Rolf Drechsler , Robert Wille

The resource overhead required to achieve net computational benefits from quantum error correction (QEC) limits its utility while current systems remain constrained in size, despite exceptional progress in experimental demonstrations. In…

We introduce a class of quantum adiabatic evolutions that we claim may be interpreted as the equivalents of the unitary gates of the quantum gate model. We argue that these gates form a universal set and may therefore be used as building…

Quantum Physics · Physics 2015-02-19 Itay Hen

We investigate the possibility to have electron-pairs in dephasing-free subspace (DFS), by means of the quantum-dot cellular automata (QCA) and single-spin rotations, to carry out a high-fidelity and deterministic universal quantum…

Quantum Physics · Physics 2010-06-25 Z. Y. Xu , M. Feng , W. M. Zhang