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
Reads0
Chats0
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
More filters
Journal ArticleDOI
Two‐factor authentication using biometric based quantum operations
TL;DR: The study anchors on mathematically proven properties of quantum cryptography and utilizes the quantum entanglement property to generate quantum OTP (QOTP) for authenticating the user based on its biometrics, taking into consideration various quantum computing capabilities of user, thus paving path for gradual upgradation of infrastructure.
Posted Content
Distillation of Gaussian Einstein-Podolsky-Rosen steering with noiseless linear amplification
Yang Liu,Kaimin Zheng,Haijun Kang,Dongmei Han,Meihong Wang,Lijian Zhang,Xiaolong Su,Kunchi Peng +7 more
TL;DR: In this paper, the authors demonstrate the distillation of Gaussian EPR steering and entanglement in lossy and noisy environment using measurement-based noiseless linear amplification (NLA).
Journal ArticleDOI
Efficient Polarization Entanglement Purification Using Spatial Entanglement
TL;DR: In this paper, the spatial entanglement transformation between different degrees of freedom is used to purify the bit-flip error and the maximal entangled state, but the pure maximally entangled state can not be obtained ultimately.
Journal ArticleDOI
Multiobject operational tasks for convex quantum resource theories of state-measurement pairs
TL;DR: In this article, the combination of resources theories of quantum states and measurements is studied, and it is shown that there exist operational discrimination and exclusions tasks where an advantage is gain by using resourceful pairs.
Journal ArticleDOI
Quantum discord protection from amplitude damping decoherence
Jiwon Yune,Kang-Hee Hong,Hyang-Tag Lim,Jong-Chan Lee,Osung Kwon,Sang-Wook Han,Yong-Su Kim,Sung Moon,Yoon-Ho Kim +8 more
TL;DR: It is shown that a protocol deploying weak measurement and quantum measurement reversal can effectively protect quantum discord from amplitude damping decoherence, enabling to distribute quantum correlation between two remote parties in a noisy environment.
References
More filters
Journal ArticleDOI
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.
Journal ArticleDOI
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.