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In this article, we present a benchmark for resource characterization in the process of controlled quantum state reconstruction and secret sharing for general three-qubit states. This is achieved by providing a closed expression for the…

Quantum Physics · Physics 2024-03-11 Pahulpreet Singh , Indranil Chakrabarty

The work presents a novel quantum secret sharing strategy based on GHZ product state sharing between three parties. The dealer, based on the classical information to be shared, toggles his qubit and shares the product state. The other…

Quantum Physics · Physics 2020-02-24 Farhan Musanna , Sanjeev Kumar

We demonstrate a multipartite protocol to securely distribute and reconstruct a quantum state. A secret quantum state is encoded into a tripartite entangled state and distributed to three players. Any two of the three players are able to…

Quantum Physics · Physics 2009-11-10 Andrew M. Lance , Thomas Symul , Warwick P. Bowen , Barry C. Sanders , Ping Koy Lam

Quantum teleportation with a two-qubit state can be suitably characterized in terms of maximal fidelity and fidelity deviation, where the former is the maximal value of the average fidelity achievable within the standard protocol and local…

Quantum Physics · Physics 2020-01-09 Arkaprabha Ghosal , Debarshi Das , Saptarshi Roy , Somshubhro Bandyopadhyay

In this letter we analyze the efficacy of the entangled output of Pati-Braunstein deletion machine [3] as a teleportation channel. We analyze the possibility of it violating the Bell's inequality. Interestingly we find that for all values…

Quantum Physics · Physics 2018-05-25 Indranil Chakrabarty , Nirman Ganguly , Binayak. S. Choudhury

In this work we study a state which is a random mixture of a two qubit subsystem of a $N$-qubit W state and GHZ state. We analyze several possibilities like separability criterion (Peres-Horodecki criterion [14,15]), non violation of Bell's…

Quantum Physics · Physics 2015-05-13 Indranil Chakrabarty

In secret sharing protocols, a secret is to be distributed among several partners so that leaving out any number of them, the rest do not have the complete information. Strong multiqubit correlations in the state by which secret sharing is…

Quantum Physics · Physics 2009-10-20 Aditi Sen De , Ujjwal Sen , Marek Zukowski

Relations between teleportation, Bell's inequalities and inseparability are investigated. It is shown that any mixed two spin-$1\over2$ state which violates the Bell-CHSH inequality is useful for teleportation. The result is extended to any…

Quantum Physics · Physics 2009-10-30 Ryszard Horodecki , Michal Horodecki , Pawel Horodecki

We consider a secret-sharing model where a dealer distributes the shares of a secret among a set of participants with the constraint that only predetermined subsets of participants must be able to reconstruct the secret by pooling their…

Information Theory · Computer Science 2024-02-07 Remi A. Chou

In this paper, we propose a class of threshold secret sharing schemes with repairing function between shares without the help of the dealer, that we called repairable threshold secret sharing schemes. Specifically, if a share fails, such as…

Cryptography and Security · Computer Science 2015-02-05 Xuan Guang , Jiyong Lu , Fang-Wei Fu

In this paper we address the problem of optimal reconstruction of a quantum state from the result of a single measurement when the original quantum state is known to be a member of some specified set. A suitable figure of merit for this…

Quantum Physics · Physics 2007-05-23 Kieran Hunter , Erika Andersson , Claire R. Gilson , Stephen M. Barnett

A single-state multiparty semiquantum secret sharing (MSQSS) scheme with d-dimensional Bell states is proposed, which can accomplish the goal that only when all receivers work together can they restore the sender's secret key. This protocol…

Quantum Physics · Physics 2024-02-28 Ying Chen , Zhi-Gang Gan , Tian-Yu Ye

Based on the assumption that the receiver Bob can apply any unitary transformation, Horodecki {\it et al.} [Phys. Lett. A {\bf 222}, 21 (1996)] proved that any mixed two spin-1/2 state which violates the Bell-CHSH inequality is useful for…

Quantum Physics · Physics 2013-02-18 Ming-Liang Hu

In this paper we present an optimal protocol by which an unknown state on a Hilbert space of dimension $N$ can be approximately stored in an $M$-dimensional quantum system or be approximately teleported via an $M$-dimensional quantum…

Quantum Physics · Physics 2009-11-07 Thomas Laustsen , Klaus Molmer

Bell inequality violating entangled states are the working horse for many potential quantum information processing applications, including secret sharing, cryptographic key distribution and communication complexity reduction in distributed…

Quantum Physics · Physics 2012-12-12 Marcin Wiesniak

We obtain the maximal average fidelity corresponding to the standard quantum teleportation protocol for an arbitrary isotropic distribution of input states and an arbitrary resource state. We extend this result to a family of von Neumann…

Quantum Physics · Physics 2022-02-09 D. G. Bussandri , M. Portesi , A. P. Majtey

We study optimal teleportation based on the Bell measurements. An explicit expression for the quantum channel associated with the optimal teleportation with an arbitrary mixed state resource is presented. The optimal transmission fidelity…

Quantum Physics · Physics 2009-11-07 Sergio Albeverio , Shao-Ming Fei , Wen-Li Yang

Quantum coherence and quantum entanglement are two different manifestations of the superposition principle. In this article we show that the right choice of basis to be used to estimate coherence is the separable basis. The quantum…

We give the analytic expressions of maximal probabilities of successfully controlled teleportating an unknown qubit via every kind of tripartite states. Besides, another kind of localizable entanglement is also determined. Furthermore, we…

Quantum Physics · Physics 2009-11-13 Ting Gao , Feng-Li Yan , You-Cheng Li

The efficacies of maximally and that of non-maximally entangled mixed states as teleportation channels have been studied. A new class of non-maximally entangled mixed states have been proposed also. Their advantages as quantum teleportation…

Quantum Physics · Physics 2020-07-22 Sovik Roy
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