Discrete Lorentz covariance for quantum walks and quantum cellular automata
نویسندگان
چکیده
We formalize a notion of discrete Lorentz transforms for quantum walks (QW) and quantum cellular automata (QCA), in + (1 1)-dimensional discrete spacetime. The theory admits a diagrammatic representation in terms of a few local, circuit equivalence rules. Within this framework, we show the first-order-only covariance of the Dirac QW. We then introduce the clock QW and the clock QCA, and prove that they are exactly discrete Lorentz covariant. The theory also allows for non-homogeneous Lorentz transforms, between non-inertial frames.
منابع مشابه
Design of low power random number generators for quantum-dot cellular automata
Quantum-dot cellular automata (QCA) are a promising nanotechnology to implement digital circuits at the nanoscale. Devices based on QCA have the advantages of faster speed, lower power consumption, and greatly reduced sizes. In this paper, we are presented the circuits, which generate random numbers in QCA. Random numbers have many uses in science, art, statistics, cryptography, gaming, gambli...
متن کاملTwo Novel D-Flip Flops with Level Triggered Reset in Quantum Dot Cellular Automata Technology
Quantum dot cellular automata (QCA) introduces a pioneer technology in nano scale computer architectures. Employing this technology is one of the solutions to decrease the size of circuits and reducing power dissipation. In this paper, two new optimized FlipFlops with reset input are proposed in quantum dot cellular automata technology. In addition, comparison with related works is performed.Th...
متن کاملNovel efficient fault-tolerant full-adder for quantum-dot cellular automata
Quantum-dot cellular automata (QCA) are an emerging technology and a possible alternative for semiconductor transistor based technologies. A novel fault-tolerant QCA full-adder cell is proposed: This component is simple in structure and suitable for designing fault-tolerant QCA circuits. The redundant version of QCA full-adder cell is powerful in terms of implementing robust digital functions. ...
متن کاملFault-tolerant adder design in quantum-dot cellular automata
Quantum-dot cellular automata (QCA) are an emerging technology and a possible alternative for faster speed, smaller size, and low power consumption than semiconductor transistor based technologies. Previously, adder designs based on conventional designs were examined for implementation with QCA technology. This paper utilizes the QCA characteristics to design a fault-tolerant adder that is more...
متن کاملDesign of low power random number generators for quantum-dot cellular automata
Quantum-dot cellular automata (QCA) are a promising nanotechnology to implement digital circuits at the nanoscale. Devices based on QCA have the advantages of faster speed, lower power consumption, and greatly reduced sizes. In this paper, we are presented the circuits, which generate random numbers in QCA. Random numbers have many uses in science, art, statistics, cryptography, gaming, gambli...
متن کامل