Subsystem symmetries, quantum cellular automata, and computational phases of quantum matter [PDF]
Quantum phases of matter are resources for notions of quantum computation. In this work, we establish a new link between concepts of quantum information theory and condensed matter physics by presenting a unified understanding of symmetry-protected ...
David T. Stephen +4 more
doaj +3 more sources
Quantum walks via quantum cellular automata [PDF]
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 the same ...
Pedro C. S. Costa +2 more
semanticscholar +4 more sources
Clifford Quantum Cellular Automata from Topological Quantum Field Theories and Invertible Subalgebras [PDF]
We present a general framework for constructing quantum cellular automata (QCAs) from topological quantum field theories (TQFTs) and invertible subalgebras (ISAs) using the cup-product formalism.
Meng Sun (孙萌) +4 more
doaj +2 more sources
The Group Structure of Quantum Cellular Automata [PDF]
We consider the group structure of quantum cellular automata (QCA) modulo circuits and show that it is abelian even without assuming the presence of ancillas, at least for most reasonable choices of control space; this is a corollary of a general method ...
M. Freedman, Jeongwan Haah, M. Hastings
semanticscholar +4 more sources
Reversible Quantum-Dot Cellular Automata-Based Arithmetic Logic Unit
Quantum-dot cellular automata (QCA) are a promising nanoscale computing technology that exploits the quantum mechanical tunneling of electrons between quantum dots in a cell and electrostatic interaction between dots in neighboring cells. QCA can achieve
Mohammed Alharbi +2 more
doaj +2 more sources
A Gentle Introduction to Lattice Field Theory [PDF]
The principles of Lattice Field Theory (LFT), in particular Lattice Gauge Theory (LGT), are explained for a nonspecialist audience. We describe some of the successes of the program; we also discuss the relationship between LFT and Quantum Cellular ...
Erhard Seiler
doaj +2 more sources
A compact and power efficient full adder-subtractor layout in QCA technology. [PDF]
The pursuit of miniaturizing digital circuits and reducing power consumption has focused attention on non-traditional computing technologies. Among these technologies, quantum dot cellular automata (QCA) stand out as a promising alternative to ...
Ali H Majeed
doaj +2 more sources
Effectiveness of Molecules for Quantum Cellular Automata as Computing Devices
Notwithstanding the increasing interest in Molecular Quantum-Dot Cellular Automata (MQCA) as emerging devices for computation, a characterization of their behavior from an electronic standpoint is not well-stated.
Yuri Ardesi +4 more
doaj +2 more sources
DHR bimodules of quasi-local algebras and symmetric quantum cellular automata [PDF]
For a net of C*-algebras on a discrete metric space, we introduce a bimodule version of the DHR tensor category and show it is an invariant of quasi-local algebras under isomorphisms with bounded spread. For abstract spin systems on a lattice $L\subseteq
Corey Jones
semanticscholar +1 more source
Quantum Cellular Automata for Quantum Error Correction and Density Classification. [PDF]
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 manner on all ...
Thiago L. M. Guedes +2 more
semanticscholar +1 more source

