Asymptotic Quantum Cloning Is State Estimation

Type: Article

Publication Date: 2006-07-19

Citations: 85

DOI: https://doi.org/10.1103/physrevlett.97.030402

Abstract

The impossibility of perfect cloning and state estimation are two fundamental results in Quantum Mechanics. It has been conjectured that quantum cloning becomes equivalent to state estimation in the asymptotic regime where the number of clones tends to infinity. We prove this conjecture using two known results of Quantum Information Theory: the monogamy of quantum correlations and the properties of entanglement breaking channels.

Locations

  • Physical Review Letters - View
  • arXiv (Cornell University) - View - PDF
  • PubMed - View
  • DataCite API - View

Similar Works

Action Title Year Authors
+ PDF Chat Optimal Universal Quantum Cloning and State Estimation 2005 Dagmar Bruß
Artur Ekert
Chiara Macchiavello
+ PDF Chat Optimal asymptotic cloning machines 2014 Giulio Chiribella
Yuxiang Yang
+ Nash equilibria in quantum state estimation and cloning games 2002 Chiu Fan Lee
Neil F. Johnson
+ PDF Chat Quantum no-cloning theorem and entanglement 2019 Mark G. Kuzyk
+ PDF Chat Optimal Quantum Cloning Machines 1997 Nicolas Gisin
Serge Massar
+ PDF Chat Quantum Cloning Optimal for Joint Measurements 2006 Giacomo Mauro D’Ariano
Massimiliano F. Sacchi
+ PDF Chat On optimal cloning and incompatibility 2021 Arindam Mitra
Prabha Mandayam
+ PDF Chat Optimal Universal Quantum Cloning and State Estimation 1998 Dagmar Bruß
Artur Ekert
Chiara Macchiavello
+ An asymptotic theory of cloning of classical state families 2011 Keiji Matsumoto
+ Algorithmic No-Cloning Theorem 2018 Samuel Epstein
+ Algorithmic No-Cloning Theorem 2018 Samuel S. Epstein
+ Is asymptotic cloning equivalent to state estimation when all clones are examined jointly 2013 Yuxiang Yang
Giulio Chiribella
+ PDF Chat Quantum cloning without signaling 1998 N. Gisin
+ PDF Chat Discriminating States: The Quantum Chernoff Bound 2007 Katrien Audenaert
John Calsamiglia
R. Muñoz-Tapia
E. BagĂĄn
LluĂ­s Masanes
Antonio AcĂ­n
Frank Verstraete
+ Is global asymptotic cloning state estimation? 2013 Yuxiang Yang
Giulio Chiribella
+ Is global asymptotic cloning state estimation 2013 Yuxiang Yang
Giulio Chiribella
+ Local asymptotic normality for qubit states (15 pages) 2006 Mădălin Guƣǎ
Jonas Kahn
+ PDF Chat Achievable efficiencies for probabilistically cloning the states 2004 Ting Gao
Fengli Yan
Zhaoxia Wang
+ PDF Chat Distribution of quantum Fisher information in asymmetric cloning machines 2014 Xing Xiao
Yao Yao
Lei‐Ming Zhou
Xiaoguang Wang
+ PDF Chat On Quantum Estimation, Quantum Cloning and Finite Quantum de Finetti Theorems 2011 Giulio Chiribella

Works That Cite This (67)

Action Title Year Authors
+ PDF Chat Probabilistically Perfect Cloning of Two Pure States: Geometric Approach 2016 V. Yerokhin
Andi Shehu
É. P. FeÄŸdman
E. BagĂĄn
JĂĄnos A. Bergou
+ PDF Chat The tripartite quantum-memory-assisted entropic uncertainty relation and upper bound on shareability of quantum discord 2022 Hazhir Dolatkhah
Abolhassan Mohammadi
Soroush Haseli
+ PDF Chat Quantum teleportation is a reversal of quantum measurement 2021 Seung-Woo Lee
Dong-Gil Im
Yoon-Ho Kim
Hyunchul Nha
M. S. Kim
+ PDF Chat Fidelity Criterion for Quantum-Domain Transmission and Storage of Coherent States Beyond the Unit-Gain Constraint 2008 Ryo Namiki
Masato Koashi
Nobuyuki Imoto
+ PDF Chat Quantum-state decorrelation 2008 Giacomo Mauro D’Ariano
RafaƂ Demkowicz-DobrzaƄski
Paolo Perinotti
Massimiliano F. Sacchi
+ PDF Chat Complete Information Balance in Quantum Measurement 2021 Seung-Woo Lee
Jaewan Kim
Hyunchul Nha
+ PDF Chat Economical realization of phase-covariant devices in arbitrary dimensions (Invited) 2007 Francesco Buscemi
Giacomo Mauro D’Ariano
Chiara Macchiavello
+ PDF Chat Contextual Advantages and Certification for Maximum-Confidence Discrimination 2022 Kieran Flatt
Hanwool Lee
Carles Roch i Carceller
Jonatan Bohr Brask
Joonwoo Bae
+ PDF Chat Minimum-error state discrimination constrained by the no-signaling principle 2010 Won-Young Hwang
Joonwoo Bae
+ PDF Chat Quantum Information Becomes Classical When Distributed to Many Users 2006 Giulio Chiribella
Giacomo Mauro D’Ariano