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Quantum computation based on quantum cellular automata (QCA) can greatly reduce the control and precision necessary for experimental implementations of quantum information processing. A QCA system consists of a few species of qubits in…

Quantum Physics · Physics 2009-11-10 Yaakov S. Weinstein , C. Stephen Hellberg

Very much as its classical counterpart, quantum cellular automata are expected to be a great tool for simulating complex quantum systems. Here we introduce a partitioned model of quantum cellular automata and show how it can simulate, with…

Quantum Physics · Physics 2018-03-07 Pedro C. S. Costa , Renato Portugal , Fernando de Melo

Quantum dot Cellular Automata (QCA) is a novel and potentially attractive technology for implementing computing architectures at the nanoscale. The basic Boolean primitive in QCA is the majority gate. In this paper we present a novel design…

Emerging Technologies · Computer Science 2016-11-15 Mostafa Rahimi Azghadi , O. Kavehie , K. Navi

Several proposed schemes for the physical realization of a quantum computer consist of qubits arranged in a cellular array. In the quantum circuit model of quantum computation, an often complex series of two-qubit gate operations is…

Quantum Physics · Physics 2009-11-10 Gavin K. Brennen , Jamie E. Williams

Studies of quantum computer implementations suggest cellular quantum computer architectures. These architectures can simulate the evolution of quantum cellular automata, which can possibly simulate both quantum and classical physical…

Quantum Physics · Physics 2008-11-04 Ioannis G. Karafyllidis

Quantum cellular automata are alternative quantum-computing paradigms to quantum Turing machines and quantum circuits. Their working mechanisms are inherently automated, therefore measurement free, and they act in a translation invariant…

Quantum Physics · Physics 2025-07-28 Thiago L. M. Guedes , Don Winter , Markus Müller

We define quantum cellular automata as infinite quantum lattice systems with discrete time dynamics, such that the time step commutes with lattice translations and has strictly finite propagation speed. In contrast to earlier definitions…

Quantum Physics · Physics 2007-05-23 B. Schumacher , R. F. Werner

We have previously discussed the design of a neutral atom quantum computer with an on-demand interaction [E. Hosseini Lapasar, et al., J. Phys. Soc. Jpn. 80, 114003 (2011)]. In this contribution, we propose an experimental method to…

We have previously proposed a way of using coupled quantum dots to construct digital computing elements - quantum-dot cellular automata (QCA). Here we consider a different approach to using coupled quantum-dot cells in an architecture…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Geza Toth , Craig S. Lent , P. Douglas Tougaw , Yuriy Brazhnik , Weiwen Weng , Wolfgang Porod , Ruey-Wen Liu , Yih-Fang Huang

In this work, we develop a method to use Quantum- Dot Cellular Automata (QCA) for universal quantum computing. This method is based conceptually on refocusing in NMR systems. We show how an array of QCA cells can be used for isolated single…

Quantum Physics · Physics 2024-05-28 Seyed Arash Sheikholeslam , Konrad Walus

We describe an architecture based on a processing 'core' where multiple qubits interact perpetually, and a separate 'store' where qubits exist in isolation. Computation consists of single qubit operations, swaps between the store and the…

Quantum Physics · Physics 2009-11-11 Man-Hong Yung , Simon C. Benjamin , Sougato Bose

We present a new cellular data processing scheme, a hybrid of existing cellular automata (CA) and gate array architectures, which is optimized for realization at the quantum scale. For conventional computing, the CA-like external clocking…

Condensed Matter · Physics 2009-10-31 S. C. Benjamin , N. F. Johnson

We show how "single" quantum dots, each hosting a singlet-triplet qubit, can be placed in arrays to build a spin quantum cellular automaton. A fast ($\sim 10$ ns) deterministic coherent singlet-triplet filtering, as opposed to current…

Quantum Physics · Physics 2015-09-10 Abolfazl Bayat , Charles E. Creffield , John H. Jefferson , Michael Pepper , Sougato Bose

We introduce a quantum cellular automaton that achieves approximate phase-covariant cloning of qubits. The automaton is optimized for 1-to-2N economical cloning. The use of the automaton for cloning allows us to exploit different foliations…

Quantum Physics · Physics 2013-04-03 G. M. D'Ariano , C. Macchiavello , M. Rossi

Quantum cellular automata consist in arrays of identical finite-dimensional quantum systems, evolving in discrete-time steps by iterating a unitary operator G. Moreover the global evolution G is required to be causal (it propagates…

Quantum Physics · Physics 2019-09-09 Pablo Arrighi

In this paper we introduce a new quantum computation model, the linear quantum cellular automaton. Well-formedness is an essential property for any quantum computing device since it enables us to define the probability of a configuration in…

Data Structures and Algorithms · Computer Science 2007-05-23 Christoph Durr , Huong LeThanh , Miklos Santha

A key requirement to perform simulations of large quantum systems on near-term quantum hardware is the design of quantum algorithms with short circuit depth that finish within the available coherence time. A way to stay within the limits of…

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

Information in a Quantum Cellular Automata architecture is encoded in the polarizazion state of a cell, i.e., in the occupation numbers of the quantum dots of which the cell is made up. Non-invasive charge detectors of single electrons in a…

Condensed Matter · Physics 2009-10-31 G. Iannaccone , C. Ungarelli , M. Macucci , E. Amirante , M. Governale

Quantum-dot fabrication and characterization is a well-established technology, which is used in photonics, quantum optics and nanoelectronics. Four quantum-dots placed at the corners of a square form a unit cell, which can hold a bit of…

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