Sıntesis de Circuitos Cuanticos

Diego Alberto Quinones Valles

Sıntesis de Circuitos Cuanticos

Translated title of the contribution: Quantum circuits synthesis

Diego Alberto Quinones Valles

Department of Physics

Research output: Thesis › Master's Thesis

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Abstract

In this thesis a theoretical analysis of operators acting on qubits systems is presented. Its purpose is to find a method to decompose an arbitrary operator that operates on any number of qubits as the product of elementary operators.
For this, first we introduce the used mathematical formalism and the graphic representation that was given to the operators.
We begin by studying operators that act on one and two qubits, finding their decomposition as elementary quantum gates. For a greater number of qubits we establish an algorithm that allows to find the decomposition of a transformation as the product reflections of Householder. Then we give a method to obtain the representation of the reflections as a series of quantum gates. The decomposition algorithm and the representation method allow to synthesize the quantum circuit for any transformation of qubits.
We observe that, under a specific criterion of selection of the reflections and their representation, it is possible to find a reduced form of the resulting quantum circuit.

Translated title of the contribution	Quantum circuits synthesis
Original language	Spanish
Qualification	MPhil
Awarding Institution	Universidad Autonoma de San Luis Potosi
Supervisors/Advisors	Urias, Jesus, Supervisor, External person
Publication status	Published - 2019

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title = "Sıntesis de Circuitos Cuanticos",

abstract = "In this thesis a theoretical analysis of operators acting on qubits systems is presented. Its purpose is to find a method to decompose an arbitrary operator that operates on any number of qubits as the product of elementary operators.For this, first we introduce the used mathematical formalism and the graphic representation that was given to the operators.We begin by studying operators that act on one and two qubits, finding their decomposition as elementary quantum gates. For a greater number of qubits we establish an algorithm that allows to find the decomposition of a transformation as the product reflections of Householder. Then we give a method to obtain the representation of the reflections as a series of quantum gates. The decomposition algorithm and the representation method allow to synthesize the quantum circuit for any transformation of qubits.We observe that, under a specific criterion of selection of the reflections and their representation, it is possible to find a reduced form of the resulting quantum circuit.",

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year = "2019",

language = "Spanish",

school = "Universidad Autonoma de San Luis Potosi",

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TY - THES

T1 - Sıntesis de Circuitos Cuanticos

AU - Quinones Valles, Diego Alberto

PY - 2019

Y1 - 2019

N2 - In this thesis a theoretical analysis of operators acting on qubits systems is presented. Its purpose is to find a method to decompose an arbitrary operator that operates on any number of qubits as the product of elementary operators.For this, first we introduce the used mathematical formalism and the graphic representation that was given to the operators.We begin by studying operators that act on one and two qubits, finding their decomposition as elementary quantum gates. For a greater number of qubits we establish an algorithm that allows to find the decomposition of a transformation as the product reflections of Householder. Then we give a method to obtain the representation of the reflections as a series of quantum gates. The decomposition algorithm and the representation method allow to synthesize the quantum circuit for any transformation of qubits.We observe that, under a specific criterion of selection of the reflections and their representation, it is possible to find a reduced form of the resulting quantum circuit.

AB - In this thesis a theoretical analysis of operators acting on qubits systems is presented. Its purpose is to find a method to decompose an arbitrary operator that operates on any number of qubits as the product of elementary operators.For this, first we introduce the used mathematical formalism and the graphic representation that was given to the operators.We begin by studying operators that act on one and two qubits, finding their decomposition as elementary quantum gates. For a greater number of qubits we establish an algorithm that allows to find the decomposition of a transformation as the product reflections of Householder. Then we give a method to obtain the representation of the reflections as a series of quantum gates. The decomposition algorithm and the representation method allow to synthesize the quantum circuit for any transformation of qubits.We observe that, under a specific criterion of selection of the reflections and their representation, it is possible to find a reduced form of the resulting quantum circuit.

M3 - Master's Thesis

ER -

Sıntesis de Circuitos Cuanticos

Abstract

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