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We investigate how to carry out universal quantum computation deterministically with free electrons in decoherence-free subspace by using polarizing beam splitters, charge detectors, and single-spin rotations. Quantum information in our…

Quantum Physics · Physics 2007-10-23 X. L. Zhang , M. Feng , K. L. Gao

We introduce a scheme to perform universal quantum computation in quantum cellular automata (QCA) fashion in arbitrary subsystem dimension (not necessarily finite). The scheme is developed over a one spatial dimension $N$-element array,…

Quantum Physics · Physics 2010-09-02 G. A. Paz-Silva , G. K. Brennen , J. Twamley

A general scheme to perform universal quantum computation within decoherence-free subspaces (DFSs) of a system's Hilbert space is presented. This scheme leads to the first fault-tolerant realization of universal quantum computation on DFSs…

Quantum Physics · Physics 2016-09-08 Dave Bacon , Julia Kempe , Daniel A. Lidar , K. B. Whaley

In this paper, we propose a way to achieve protected universal computation in a neutral atom quantum computer subject to collective dephasing. Our proposal relies on the existence of a Decoherence Free Subspace (DFS), resulting from…

Quantum Physics · Physics 2015-06-26 E. Brion , L. H. Pedersen , K. Molmer , S. Chutia , M. Saffman

We give a one-dimensional quantum cellular automaton (QCA) capable of simulating all others. By this we mean that the initial configuration and the local transition rule of any one-dimensional QCA can be encoded within the initial…

Quantum Physics · Physics 2008-12-10 Pablo Arrighi , Renan Fargetton , Zizhu Wang

Taking the excess electron spin in a unit cell of semiconductor multiple quantum-dot structure as a qubit, we can implement scalable quantum computation without resorting to spin-spin interactions. The technique of single electron…

Quantum Physics · Physics 2007-05-23 Wei-Min Zhang , Yin-Zhong Wu , Chopin Soo

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

We investigate how to concatenate different decoherence-free subspaces (DFSs) to realize scalable universal fault-tolerant quantum computation. Based on tunable $XXZ$ interactions, we present an architecture for scalable quantum computers…

Quantum Physics · Physics 2009-11-10 Zheng-Wei Zhou , Bo Yu , Xingxiang Zhou , Marc J. Feldman , Guang-Can Guo

The interaction of quantum emitters with one-dimensional photon-like reservoirs induces strong and long-range dissipative couplings that give rise to the emergence of so-called Decoherence Free Subspaces (DFS) which are decoupled from…

Quantum Physics · Physics 2016-08-01 V. Paulisch , H. J. Kimble , A. Gonzalez-Tudela

We show how realistic cavity-assisted interaction between neutral atoms and coherent optical pulses, and measurement techniques, combined with optical transportation of atoms, allow for a universal set of quantum gates acting on…

Quantum Physics · Physics 2011-01-14 P. Xue , Y. F. Xiao

Decoherence-free subspaces (DFSs) shield quantum information from errors induced by the interaction with an uncontrollable environment. Here we study a model of correlated errors forming an Abelian subgroup (stabilizer) of the Pauli group…

Quantum Physics · Physics 2016-09-08 Daniel A. Lidar , Dave Bacon , Julia Kempe , K. B. Whaley

A Quantum Cellular Automaton (QCA) is essentially an operator driving the evolution of particles on a lattice, through local unitaries. Because $\Delta_t=\Delta_x = \epsilon$, QCAs constitute a privileged framework to cast the digital…

Quantum Physics · Physics 2026-01-21 Dogukan Bakircioglu , Pablo Arnault , Pablo Arrighi

We investigate quantum cellular automata (QCA) on one-dimensional spin systems defined over a subalgebra of the full local operator algebra - the symmetric subalgebra under a finite Abelian group symmetry $G$. For systems where each site…

Quantum Physics · Physics 2026-05-28 Ruochen Ma , Yabo Li , Meng Cheng

We describe a simple n-dimensional quantum cellular automaton (QCA) capable of simulating all others, in that the initial configuration and the forward evolution of any n-dimensional QCA can be encoded within the initial configuration of…

Quantum Physics · Physics 2010-10-13 Pablo Arrighi , Jonathan Grattage

We propose a novel architecture for scalable quantum computation based on quantum actuated decoherence-free (DF) qubits. Each qubit is encoded by the DF subspace of a nuclear spin pair and has long coherence time. A nitrogen-vacancy center…

Quantum Physics · Physics 2017-12-06 Xing Rong , Lihong Dong , Jianpei Geng , Fazhan Shi , Zhaokai Li , Changkui Duan , Jiangfeng Du

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

Universal quantum computation on decoherence-free subspaces and subsystems (DFSs) is examined with particular emphasis on using only physically relevant interactions. A necessary and sufficient condition for the existence of…

Quantum Physics · Physics 2009-11-06 Julia Kempe , Dave Bacon , Daniel A. Lidar , K. Birgitta Whaley

Quantum-dot cellular automata (QCA) is a low-power, non-von-Neumann, general-purpose paradigm for classical computing using transistor-free logic. An elementary QCA device called a "cell" is made from a system of coupled quantum dots with a…

Quantum Physics · Physics 2019-05-22 Enrique P. Blair

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…

In the near future the era of Beyond CMOS will start as the scaling of the current CMOS technology will reach the fundamental limit. QCA (Quantum-dot Cellular Automata) is the transistor less computation paradigm and viable candidate for…

Emerging Technologies · Computer Science 2017-11-23 Usha Mehta , Vaishali Dhare
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