The standard theory of quantum computation relies on the idea that the qubit – the basic information quantity – is represented by a superposition of elements of the standard quantum computational basis B(2) = {|0i, |1i}. In the present paper we focus on the case of qutrits where the standard quantum computational bases is replaced by a three-valued computational basis B(3) = {|0i, | 1 2 i, |1i}. Recently in, unary gates on the Hilbert space C3 were considered. In this work we propose an extensive method that allows to extend binary gates to the framework of qutrits.
Binary gates in three valued quantum computational logics
SERGIOLI, GIUSEPPE;LEDDA, ANTONIO;GIUNTINI, ROBERTO
2016-01-01
Abstract
The standard theory of quantum computation relies on the idea that the qubit – the basic information quantity – is represented by a superposition of elements of the standard quantum computational basis B(2) = {|0i, |1i}. In the present paper we focus on the case of qutrits where the standard quantum computational bases is replaced by a three-valued computational basis B(3) = {|0i, | 1 2 i, |1i}. Recently in, unary gates on the Hilbert space C3 were considered. In this work we propose an extensive method that allows to extend binary gates to the framework of qutrits.File in questo prodotto:
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Probing the Meaning and Structure of Quantum Mechanics: Superpositions, Semantics, Dynamics and Identity.pdf
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