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17
Architectural implications of quantum computing technologies
 ACM Journal on Emerging Technologies in Computing Systems (JETC
, 2006
"... In this article we present a classification scheme for quantum computing technologies that is based on the characteristics most relevant to computer systems architecture. The engineering tradeoffs of execution speed, decoherence of the quantum states, and size of systems are described. Concurrency, ..."
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Cited by 17 (4 self)
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In this article we present a classification scheme for quantum computing technologies that is based on the characteristics most relevant to computer systems architecture. The engineering tradeoffs of execution speed, decoherence of the quantum states, and size of systems are described. Concurrency, storage capacity, and interconnection network topology influence algorithmic efficiency, while quantum error correction and necessary quantum state measurement are the ultimate drivers of logical clock speed. We discuss several proposed technologies. Finally, we use our taxonomy to explore architectural implications for common arithmetic circuits, examine the implementation of quantum error correction, and discuss clusterstate quantum computation.
A quantum computing primer for operator theorists
 Linear Algebra Appl
, 2005
"... Abstract. This is an exposition of some of the aspects of quantum computation and quantum information that have connections with operator theory. After a brief introduction, we discuss quantum algorithms. We outline basic properties of quantum channels, or equivalently, completely positive trace pre ..."
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Cited by 9 (3 self)
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Abstract. This is an exposition of some of the aspects of quantum computation and quantum information that have connections with operator theory. After a brief introduction, we discuss quantum algorithms. We outline basic properties of quantum channels, or equivalently, completely positive trace preserving maps. The main theorems for quantum error detection and correction are presented and we conclude with a description of a particular passive method of quantum error correction. 1.
On the existence of truly autonomic computing systems and the link with quantum computing, arXiv: cs.LO/0411094
"... A theoretical model of truly autonomic computing systems (ACS), with infinitely many constraints, is proposed. An argument similar to Turing’s for the unsolvability of the halting problem, which is permitted in classical logic, shows that such systems cannot exist. Turing’s argument fails in the rec ..."
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Cited by 3 (2 self)
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A theoretical model of truly autonomic computing systems (ACS), with infinitely many constraints, is proposed. An argument similar to Turing’s for the unsolvability of the halting problem, which is permitted in classical logic, shows that such systems cannot exist. Turing’s argument fails in the recently proposed nonAristotelian finitary logic (NAFL), which permits the existence of ACS. NAFL also justifies quantum superposition and entanglement, which are essential ingredients of quantum algorithms, and resolves the EinsteinPodolskyRosen (EPR) paradox in favour of quantum mechanics and nonlocality. NAFL requires that the autonomic manager (AM) must be conceptually and architecturally distinct from the managed element, in order for the ACS to exist as a nonselfreferential entity. Such a scenario is possible if the AM uses quantum algorithms and is protected from all problems by (unbreakable) quantum encryption, while the managed element remains classical. NAFL supports such a link between autonomic and quantum computing, with the AM existing as a metamathematical entity. NAFL also allows quantum algorithms to access truly random elements and thereby supports nonstandard models of quantum (hyper) computation that permit infinite parallelism. 1.
Strategic Insights From Playing the Quantum TicTacToe
, 1007
"... Abstract. Inthispaper,weperformaminimalisticquantizationoftheclassicalgame of tictactoe, by allowing superpositions of classical moves. In order for the quantum game to reduce properly to the classical game, we require legal quantum moves to be orthogonal to all previous moves. We also admit inter ..."
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Cited by 1 (0 self)
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Abstract. Inthispaper,weperformaminimalisticquantizationoftheclassicalgame of tictactoe, by allowing superpositions of classical moves. In order for the quantum game to reduce properly to the classical game, we require legal quantum moves to be orthogonal to all previous moves. We also admit interference effects, by squaring the sum ofamplitudes overallmovesby aplayertocompute his orheroccupationlevelofa given site. A player wins when the sums of occupations along any of the eight straight lines we can draw in the 3×3 grid is greater than three. We play the quantum tictactoe first randomly, and then deterministically, to explore the impact different opening moves, end games, and different combinationsof offensive and defensive strategieshave on the outcome of the game. In contrast to the classical tictactoe, the deterministic quantum game does not always end in a draw. In contrast also to most classical twoplayer games of no chance, it is possible for Player 2 to win. More interestingly, we find that Player 1 enjoys an overwhelming quantum advantage when he opens with a quantum move, but loses this advantage when he opens with a classical move. We also find the quantum blocking move, which consists of a weighted superposition of moves that the opponent could use to win the game, to be very effective in denying the opponent his or her victory. We then speculate what implications these results might have on quantum information transfer and portfolio optimization. PACS numbers: 03.65.w, 03.67.aStrategic Insights From Playing the Quantum TicTacToe 2 1.
Topological Color Codes and TwoBody Quantum Lattice Hamiltonians
, 2009
"... Topological color codes are among the stabilizer codes with remarkable properties from quantum information perspective. In this paper we construct a lattice, the so called ruby lattice, with coordination number four governed by a 2body Hamiltonian. In a particular regime of coupling constants, in t ..."
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Cited by 1 (1 self)
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Topological color codes are among the stabilizer codes with remarkable properties from quantum information perspective. In this paper we construct a lattice, the so called ruby lattice, with coordination number four governed by a 2body Hamiltonian. In a particular regime of coupling constants, in the triangular limit, degenerate perturbation theory implies that the low energy spectrum of the model can be described by a manybody effective Hamiltonian, which encodes the color code as its ground state subspace. Ground state subspace corresponds to vortexfree sector. The gauge symmetry Z2 × Z2 of color code could already be realized by identifying three distinct plaquette operators on the lattice. All plaquette operators commute with each other and with the Hamiltonian being integrals of motion. Plaquettes are extended to closed strings or stringnet structures. Noncontractible closed strings winding the space commute with Hamiltonian but not always with each other giving rise to exact topological degeneracy of the model. Connection to 2colexes can be established via the coloring of the strings. We discuss it at the nonperturbative level. The particular structure of the 2body Hamiltonian provides a fruitful interpretation in terms of mapping to bosons coupled to effective spins. We show that high energy excitations of the model
Evolving and Experimental Technologies in Medical
, 2004
"... Medical images are created by detecting radiation probes transmitted through or emitted or scattered by the body. The radiation, modulated through interactions with tissues, yields patterns that provide anatomic and/or physiologic information. Xrays, gamma rays, radiofrequency signals, and ultrasou ..."
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Medical images are created by detecting radiation probes transmitted through or emitted or scattered by the body. The radiation, modulated through interactions with tissues, yields patterns that provide anatomic and/or physiologic information. Xrays, gamma rays, radiofrequency signals, and ultrasound waves are the standard probes, but others like visible and infrared light, microwaves, terahertz rays, and intrinsic and applied electric and magnetic fields are being explored. Some of the younger technologies, such as molecular imaging, may enhance existing imaging modalities; however, they also, in combination with nanotechnology, biotechnology, bioinformatics, and new forms of computational hardware and software, may well lead to novel approaches to clinical imaging. This review provides a brief overview of the current state of imagebased diagnostic medicine and offers comments on the directions in which some of its subfields may be heading.
Physics at the FMQT’04 conference
, 2005
"... This paper summarizes the recent state of the art of the following topics presented at the FQMT’04 conference: Quantum, mesoscopic and (partly) classical thermodynamics; Quantum limits to the second law of thermodynamics; Quantum measurement; Quantum decoherence and dephasing; Mesoscopic and nanoel ..."
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This paper summarizes the recent state of the art of the following topics presented at the FQMT’04 conference: Quantum, mesoscopic and (partly) classical thermodynamics; Quantum limits to the second law of thermodynamics; Quantum measurement; Quantum decoherence and dephasing; Mesoscopic and nanoelectromechanical systems; Classical molecular motors, ratchet systems and rectified motion; Quantum Brownian motion and Quantum motors; Physics of quantum computing; and Relevant experiments from the nanoscale to the macroscale. To all these subjects an introduction is given and the recent literature is broadly overviewed. The paper contains some 450 references in total.
unknown title
, 2006
"... A numerical investigation on the validity of some recent proposals of inseparability criteria for continuous variable systems: the driven JaynesCummings model ..."
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A numerical investigation on the validity of some recent proposals of inseparability criteria for continuous variable systems: the driven JaynesCummings model
the context of Quantum Information Theory.
, 2004
"... Several aspects of the timedependent Schrödinger equation are discussed in ..."
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Several aspects of the timedependent Schrödinger equation are discussed in