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Quantum Information Processing

Quantum abstract detecting systems

  • 01-08-2020
Published in:
Authors
Elías F. Combarro
José Ranilla
Ignacio Fernández Rúa
Published in
Quantum Information Processing | Issue 8/2020

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Abstract

In this paper, we study Quantum Abstract Detecting Systems (QADS), that generalize some key characteristics of the operators used in Grover’s algorithm, a wide variety of quantum walks and the quantum abstract search algorithm. A QADS is an algorithm that constructs a quantum state and a quantum operator that help testing whether a circuit-implemented boolean function f is identically zero. We also identify some relatively weak properties of QADS that lead to the construction of algorithms for the detection problem (i.e. determining whether there is a marked element in a given set). Our results provide not only a common framework to all the aforementioned search methods, and their transformation into algorithms for the detection problem, but also allow the development of new similar methods. As an example, we construct a modification of Grover’s algorithm (from the tensor product of controlled QADS) that shows improved detection probability.

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previous article Calculation of on the IBM quantum computer and the accuracy of one-qubit operations
next article Sum rule of quantum uncertainties: coupled harmonic oscillator system with time-dependent parameters
Title
Quantum abstract detecting systems
Authors
Elías F. Combarro
José Ranilla
Ignacio Fernández Rúa
Publication date
01-08-2020
Publisher
Springer US
Published in
Quantum Information Processing / Issue 8/2020
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-020-02763-w
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