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There have been several non-axiomatic approaches taken to define Quantum Cellular Automata (QCA). Partitioned QCA (PQCA) are the most canonical of these non-axiomatic definitions. In this work we first show that any QCA can be put into the…

Quantum Physics · Physics 2010-10-14 Pablo Arrighi , Jonathan Grattage

In this paper we present a quantization of Cellular Automata. Our formalism is based on a lattice of qudits, and an update rule consisting of local unitary operators that commute with their own lattice translations. One purpose of this…

Quantum Physics · Physics 2008-02-17 Carlos A. Perez-Delgado , Donny Cheung

By placing changeable nanofabricated structures (wires, dots, etc.) on an atom mirror one can design guiding and trapping potentials for atoms. These potentials are similar to the electrostatic potentials which trap and guide electrons in…

Quantum Physics · Physics 2009-10-31 Joerg Schmiedmayer

We propose the use of quantum dots formed in a semiconductor nanocolumn for the realization of charge or spin based quantum bits. The radial carrier confinement is achieved by employing conformal overgrowth, while multiple segmented gates…

Other Condensed Matter · Physics 2007-05-23 K. M. Indlekofer , Th. Schäpers

We present a theory of quantum circuits based on logical qubits encoded in chirality of electron spin complexes in lateral gated semiconductor triple quantum dot molecules with one electron spin in each dot. Using microscopic Hamiltonian we…

Strongly Correlated Electrons · Physics 2015-05-18 Chang-Yu Hsieh , Pawel Hawrylak

Ultimate bounds on the maximum operating frequency of networks of quantum dot cellular automata devices have yet to be established. We consider the adiabaticity of such networks in the two-state approximation where clocking is achieved via…

Quantum Physics · Physics 2020-02-19 Jacob Retallick , Konrad Walus

A natural architecture for nanoscale quantum computation is that of a quantum cellular automaton. Motivated by this observation, in this paper we begin an investigation of exactly unitary cellular automata. After proving that there can be…

Quantum Physics · Physics 2009-10-30 David A. Meyer

This paper introduces a new formalism for quantum cellular automata (QCAs), based on evolving tensor products of qubits using local unitary operators. It subsequently uses this formalism to analyze and validate several conjectures, stemming…

Quantum Physics · Physics 2019-10-03 Ruhi Shah , Jonathan Gorard

The field of Electronic Design Automation (EDA) is crucial for microelectronics, but the increasing complexity of Integrated Circuits (ICs) poses challenges for conventional EDA: Corresponding problems are often NP-hard and are therefore in…

Quantum Physics · Physics 2025-04-25 Matthias Jung , Sven O. Krumke , Christof Schroth , Elisabeth Lobe , Wolfgang Mauerer

Gate-defined quantum dots (QDs) have appealing attributes as a quantum computing platform. However, near-term devices possess a range of possible imperfections that need to be accounted for during the tuning and operation of QD devices. One…

Mesoscale and Nanoscale Physics · Physics 2023-05-26 Joshua Ziegler , Florian Luthi , Mick Ramsey , Felix Borjans , Guoji Zheng , Justyna P. Zwolak

Arrays of quantum dots (QDs) are a promising candidate system to realize scalable, coupled qubit systems and serve as a fundamental building block for quantum computers. In such semiconductor quantum systems, devices now have tens of…

Quantum Physics · Physics 2023-05-26 Justyna P. Zwolak , Jacob M. Taylor

We present a novel scheme for data processing which is well-suited for implementation at the nanometer scale. The logic circuits comprise two-state cellular units which are driven by externally applied updates, in contrast to earlier…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Simon C. Benjamin , Neil F. Johnson

Field-coupled Nanocomputing (FCN) is a class of promising post-CMOS technologies that transmit information through electric or magnetic fields instead of current flow. They utilize basic building blocks called cells, which can form gates…

Emerging Technologies · Computer Science 2025-04-15 Benjamin Hien , Marcel Walter , Simon Hofmann , Robert Wille

We present the Quantum Computer Aided Design (QCAD) simulator that targets modeling multi-dimensional quantum devices, particularly silicon multi-quantum dots (QDs) developed for quantum bits (qubits). This finite-element simulator has…

We present a set of concrete and realistic ideas for the implementation of a small-scale quantum computer using electron spins in lateral GaAs/AlGaAs quantum dots. Initialization is based on leads in the quantum Hall regime with tunable…

Analysis of quantum dot structures is a current topic with important applications in solid-state digital logic design, quantum information technology and quantum optics. In this work, we show a variational formulation for the solution of…

Quantum Physics · Physics 2007-05-23 George Andre Pereira The , Rubens Viana Ramos , Sergio Antenor de Carvalho

Quantum dot Cellular Automata (QCA) is the emerging area in the field of nanotechnology. Inverter is a fundamental logic primitive in QCA. Molecular, semiconductor, magnetic, and metallic QCA are main methodology in the fabrication of…

Emerging Technologies · Computer Science 2023-10-17 Angshuman Khan , Surajit Sur , Chiradeep Mukherjee , Aninda Sankar Sukla , Ratna Chakrabarty

Quantum computation has attracted much attention, among other things, due to its potentialities to solve classical NP problems in polynomial time. For this reason, there has been a growing interest to build a quantum computer. One of the…

Quantum Physics · Physics 2007-05-23 P. B. M. Sousa , R. V. Ramos

A quantum computer will use the properties of quantum physics to solve certain computational problems much faster than otherwise possible. One promising potential implementation is to use superconducting quantum bits in the circuit quantum…

Quantum Physics · Physics 2013-12-01 Matthew Reed

We have developed a quantum annealing processor, based on an array of tunably coupled rf-SQUID flux qubits, fabricated in a superconducting integrated circuit process [1]. Implementing this type of processor at a scale of 512 qubits and…

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