Synthesis of Quantum Superpositions by Quantum Computation
- 7 August 2000
- journal article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 85 (6), 1334-1337
- https://doi.org/10.1103/physrevlett.85.1334
Abstract
The quantum search algorithm can be looked at as a technique for synthesizing a particular kind of superposition—one whose amplitude is concentrated in a single basis state. This basis state is defined by a binary function that is nonzero in this desired basis state and zero everywhere else. This paper extends the quantum search algorithm to an algorithm that can create an arbitrarily specified superposition on a space of size in steps. The superposition is specified by a complex valued function that specifies the desired amplitude of the system in basis state .
Keywords
This publication has 4 references indexed in Scilit:
- Quantum Search on Structured ProblemsChaos, Solitons, and Fractals, 1999
- Quantum Computers Can Search Rapidly by Using Almost Any TransformationPhysical Review Letters, 1998
- Quantum Mechanics Helps in Searching for a Needle in a HaystackPhysical Review Letters, 1997
- Arbitrary Control of a Quantum Electromagnetic FieldPhysical Review Letters, 1996