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  1. International Journal of Theoretical Physics
  2. International Journal of Theoretical Physics : Volume 43
  3. International Journal of Theoretical Physics : Volume 43, Issue 4, April 2004
  4. Unstructured Adiabatic Quantum Search
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International Journal of Theoretical Physics : Volume 56
International Journal of Theoretical Physics : Volume 55
International Journal of Theoretical Physics : Volume 54
International Journal of Theoretical Physics : Volume 53
International Journal of Theoretical Physics : Volume 52
International Journal of Theoretical Physics : Volume 51
International Journal of Theoretical Physics : Volume 50
International Journal of Theoretical Physics : Volume 49
International Journal of Theoretical Physics : Volume 48
International Journal of Theoretical Physics : Volume 47
International Journal of Theoretical Physics : Volume 46
International Journal of Theoretical Physics : Volume 45
International Journal of Theoretical Physics : Volume 44
International Journal of Theoretical Physics : Volume 43
International Journal of Theoretical Physics : Volume 43, Issue 12, December 2004
International Journal of Theoretical Physics : Volume 43, Issue 11, November 2004
International Journal of Theoretical Physics : Volume 43, Issue 10, October 2004
International Journal of Theoretical Physics : Volume 43, Issue 9, September 2004
International Journal of Theoretical Physics : Volume 43, Issue 7-8, August 2004
International Journal of Theoretical Physics : Volume 43, Issue 6, June 2004
International Journal of Theoretical Physics : Volume 43, Issue 5, May 2004
International Journal of Theoretical Physics : Volume 43, Issue 4, April 2004
Simple Axioms for Orthomodular Implication Algebras
Teleportation of Any Form of Two-Mode Quantum States
Unstructured Adiabatic Quantum Search
Adiabatic Quantum Gates
The Dirac-Oscillator Green's Function
WKB Wave Function of the General Time-Dependent Quadratic Hamiltonian System
Eigenvalue Spectrum of a Dirac Particle in Static and Spherical Complex Potential
Maximum Speed of Quantum Evolution
Dirac Equation and Its Solution Around Schwarzschild–de Sitter Black Hole
The Schwinger Formula Revisited II (A Mathematical Treatment)
Quantal Symmetries in the Nonlinear Sigma Model with Maxwell–Chern–Simons Term
Quantum Motion on 2D Surface of Nonspherical Topology
Convolution of Lorentz Invariant Ultradistributions and Field Theory
Coherent States with Complex Functions
Hamilton–Jacobi Treatment of Constrained Systems with Second-Order Lagrangians
Explicit Form of the Time Operator of a Gaussian Stationary Process
Rigorous Theory of the Quantum Electromagnetic Field in the Presence of Quantum Sources
Quantum Symmetry of a Chern–Simons System Coupled to a Polaron
New Simple Method for Obtaining Integrable Hierarchies of Soliton Equations with Multicomponent Potential Functions
Solution of Duffin–Kemmer–Petiau Equation for the Step Potential
Exact Analytic Solution of the Simplified Telegraph Model of Propagation and Dissipation of Excitation Fronts
The Effect of Increasing the Rate of Repetitions of Classical Reactions
International Journal of Theoretical Physics : Volume 43, Issue 3, March 2004
International Journal of Theoretical Physics : Volume 43, Issue 2, February 2004
International Journal of Theoretical Physics : Volume 43, Issue 1, January 2004
International Journal of Theoretical Physics : Volume 42
International Journal of Theoretical Physics : Volume 41
International Journal of Theoretical Physics : Volume 40
International Journal of Theoretical Physics : Volume 39
International Journal of Theoretical Physics : Volume 38
International Journal of Theoretical Physics : Volume 37
International Journal of Theoretical Physics : Volume 36

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Unstructured Adiabatic Quantum Search

Content Provider Springer Nature Link
Author Andrecut, M. Ali, M. K.
Copyright Year 2004
Abstract In the adiabatic quantum computation model, a computational procedure is described by the continuous time evolution of a time dependent Hamiltonian. We apply this method to the Grover's problem, i.e., searching a marked item in an unstructured database. Classically, the problem can be solved only in a running time of order O(N) (where N is the number of items in the database), whereas in the quantum model a speed up of order $$O(\sqrt {N)} $$ has been obtained. We show that in the adiabatic quantum model, by a suitable choice of the time-dependent Hamiltonian, it is possible to do the calculation in constant time, independent of the the number of items in the database. However, in this case the initial time-complexity of $$O(\sqrt {N)} $$ is replaced by the complexity of implementing the driving Hamiltonian.
Starting Page 925
Ending Page 931
Page Count 7
File Format PDF
ISSN 00207748
Journal International Journal of Theoretical Physics
Volume Number 43
Issue Number 4
e-ISSN 15729575
Language English
Publisher Kluwer Academic Publishers-Plenum Publishers
Publisher Date 2004-01-01
Publisher Place New York
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Physics Quantum Physics Mathematical and Computational Physics Elementary Particles, Quantum Field Theory
Content Type Text
Resource Type Article
Subject Physics and Astronomy Mathematics
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