Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
Charles H. Bennett,Gilles Brassard,Sandu Popescu,Benjamin Schumacher,John A. Smolin,William K. Wootters +5 more
TLDR
Upper and lower bounds on the yield of pure singlets ($\ket{\Psi^-}$) distillable from mixed states $M$ are given, showing $D(M)>0$ if $\bra{Psi-}M\ket-}>\half$.Abstract:
Two separated observers, by applying local operations to a supply of not-too-impure entangled states (e.g., singlets shared through a noisy channel), can prepare a smaller number of entangled pairs of arbitrarily high purity (e.g., near-perfect singlets). These can then be used to faithfully teleport unknown quantum states from one observer to the other, thereby achieving faithful transmission of quantum information through a noisy channel. We give upper and lower bounds on the yield $D\left(M\right)$ of pure singlets $(|{\ensuremath{\Psi}}^{\ensuremath{-}}〉)$ distillable from mixed states $M$, showing $D\left(M\right)g0$ if $〈{\ensuremath{\Psi}}^{\ensuremath{-}}|M|{\ensuremath{\Psi}}^{\ensuremath{-}}〉g\frac{1}{2}$.read more
Citations
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Quantum computation and quantum information
Marius Nagy,Selim G. Akl +1 more
TL;DR: A survey of all the important aspects and results that have shaped the field of quantum computation and quantum information and their applications to the general theory of information, cryptography, algorithms, computational complexity and error-correction.
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Superactivation of quantum steering
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Refined hyperentanglement purification of two-photon systems for high-capacity quantum communication with cavity-assisted interaction
Fang-Fang Du,Tao Li,Gui-Lu Long +2 more
TL;DR: In this paper, a refined hyperentanglement purification protocol (hyper-EPP) was proposed for two-photon systems in mixed hyperentangled states in both the spatial-mode and polarization DOFs, assisted by cavity quantum electrodynamics.
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Quantum memories and error correction
TL;DR: This review concerns itself with the latter, giving an overview of error correction and self-correction, and how they may be used to achieve fault-tolerant quantum computation.
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A silicon quantum-dot-coupled nuclear spin qubit.
Bas Hensen,W. Huang,Chih Hwan Yang,Kok Wai Chan,Jun Yoneda,Tuomo Tanttu,Fay E. Hudson,Arne Laucht,Kohei M. Itoh,Thaddeus D. Ladd,Andrea Morello,Andrew S. Dzurak +11 more
TL;DR: The authors couple a 29Si nuclear spin to electrons in a lithographically defined quantum dot and show initialization, readout and entanglement with the electron spin, finding that both the nuclear spin and electron spin retain their coherence while moving the electron between quantum dots.
References
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Concentrating partial entanglement by local operations
TL;DR: Any pure or mixed entangled state of two systems can be produced by two classically communicating separated observers, drawing on a supply of singlets as their sole source of entanglement.
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Generalized privacy amplification
TL;DR: This paper provides a general treatment of privacy amplification by public discussion, a concept introduced by Bennett, Brassard, and Robert for a special scenario, and yields results on wiretap and broadcast channels for a considerably strengthened definition of secrecy capacity.