Cloning a qutrit

Type: Article

Publication Date: 2002-07-01

Citations: 38

DOI: https://doi.org/10.1080/09500340110109043

Abstract

Several classes of state-dependent quantum cloners for three-level systems are investigated. These cloners optimally duplicate some of the four maximally-conjugate bases with an equal fidelity, thereby extending the phasecovariant qubit cloner to qutrits. Three distinct classes of qutrit cloners can be distinguished, depending on whether two, three, or four maximally-conjugate bases are cloned as well (the latter case simply corresponds to the universal qutrit cloner). These results apply to symmetric as well as asymmetric cloners, so that the balance between the fidelity of the two clones can also be analysed.

Locations

  • arXiv (Cornell University) - View - PDF
  • DataCite API - View
  • Journal of Modern Optics - View

Similar Works

Action Title Year Authors
+ About Covariant Quartit Cloning Machines 2003 Thomas Durt
Bob Nagler
+ PDF Chat Optimal universal and state-dependent quantum cloning 1998 Dagmar Bruß
David P. DiVincenzo
Artur Ekert
Christopher A. Fuchs
Chiara Macchiavello
John A. Smolin
+ PDF Chat Asymmetric broadcasting of quantum correlations 2019 Aditya Jain
Indranil Chakrabarty
Sourav Chatterjee
+ Asymmetric broadcasting of entanglement and correlations 2017 Aditya Jain
Indranil Chakrabarty
Sourav Chatterjee
+ Optimal cloning of qubits from replicas of a qubit and its orthogonal states 2010 Go Kato
+ State Dependent and Independent cloner: Cloning and Broadcasting 2015 Manish Shukla
Indranil Chakrabarty
Sourav Chatterjee
+ PDF Chat Quantum Cloning Machines with Phase-Conjugate Input Modes 2001 Nicolas J. Cerf
S. Iblisdir
+ PDF Chat One-to-Many Economical Phase-Covariant Cloning and Telecloning of Qudits 2010 Xin-Wen Wang
Su Yu-Huan
Guojian Yang
+ Quantum cloning without external control 2004 Gabriele De Chiara
Rosario Fazio
Chiara Macchiavello
Simone Montangero
G. Massimo Palma
+ PDF Chat Optimal universal quantum cloning: asymmetries and fidelity measures 2016 Alastair Kay
+ Highly asymmetric quantum cloning in arbitrary dimension 2005 Jaromı́r Fiurášek
Radim Filip
Nicolas J. Cerf
+ Fidelity Measures in Asymmetric Quantum Cloning 2014 Alastair Kay
+ Optimal Universal Quantum Cloning: Asymmetries and Fidelity Measures 2014 Alastair Kay
+ Optimal Universal Quantum Cloning: Asymmetries and Fidelity Measures 2014 Alastair Kay
+ PDF Chat Cloning the entanglement of a pair of quantum bits 2004 L.-P. Lamoureux
Patrick Navez
Jaromı́r Fiurášek
Nicolas J. Cerf
+ PDF Chat Optimal ancilla-free phase-covariant telecloning of qudits via nonmaximally entangled states 2011 Xin-Wen Wang
Guojian Yang
+ Controlling the flow of information in quantum cloners: Asymmetric cloning 1998 Vladimír Bužek
Mark Hillery
R. Bednik
+ PDF Chat Process-optimized phase-covariant quantum cloning 2022 Chloe Kim
Eric Chitambar
+ PDF Chat Quantum deleting and cloning in a pseudo-unitary system 2021 Yu‐Cheng Chen
Ming Gong
Peng Xue
Haidong Yuan
Chengjie Zhang
+ PDF Chat Quantum cloning of continuous-variable entangled states 2008 Christian Weedbrook
Nicolai B. Grosse
Thomas Symul
Ping Koy Lam
Timothy C. Ralph

Works That Cite This (21)

Action Title Year Authors
+ PDF Chat Error tolerance of two-basis quantum-key-distribution protocols using qudits and two-way classical communication 2006 Georgios M. Nikolopoulos
Kedar S. Ranade
G. Alber
+ PDF Chat Quantum conical designs 2016 Matthew A. Graydon
D. M. Appleby
+ PDF Chat ON MUTUALLY UNBIASED BASES 2010 Thomas Durt
Berthold‐Georg Englert
Ingemar Bengtsson
Karol Życzkowski
+ PDF Chat Economical quantum cloning in any dimension 2005 Thomas Durt
Jaromı́r Fiurášek
Nicolas J. Cerf
+ PDF Chat Quantum cloning machines and the applications 2014 Heng Fan
Yi-Nan Wang
Jing Li
Jie-Dong Yue
Handuo Shi
Yongliang Zhang
Liang-Zhu Mu
+ PDF Chat A cloned qutrit and its utility in information processing tasks 2013 Sovik Roy
Nirman Ganguly
Atul Kumar
Satyabrata Adhikari
A. S. Majumdar
+ PDF Chat Cloning a real<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>d</mml:mi></mml:math>-dimensional quantum state on the edge of the no-signaling condition 2003 Patrick Navez
Nicolas J. Cerf
+ PDF Chat Security of quantum key distributions with entangled qudits 2004 Thomas Durt
Dagomir Kaszlikowski
Jing‐Ling Chen
L. C. Kwek
+ PDF Chat Security of quantum key distribution with entangled qutrits 2003 Thomas Durt
Nicolas J. Cerf
Nicolas Gisin
Marek Żukowski
+ PDF Chat Asymmetric quantum telecloning of<i>d</i>-level systems and broadcasting of entanglement to different locations using the “many-to-many” communication protocol 2003 Iulia Ghiu