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:
File Dimensione Formato  
Binary gates in three valued quantum computational logics.pdf

Solo gestori archivio

Tipologia: versione post-print (AAM)
Dimensione 522.05 kB
Formato Adobe PDF
522.05 kB Adobe PDF   Visualizza/Apri   Richiedi una copia
Probing the Meaning and Structure of Quantum Mechanics: Superpositions, Semantics, Dynamics and Identity.pdf

Solo gestori archivio

Descrizione: Frontespizio, altri preliminari e indice
Tipologia: altro documento allegato
Dimensione 388.65 kB
Formato Adobe PDF
388.65 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11584/186975
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact