Retrieving and Routing Quantum Information in a Quantum Network

Abstract

In extant quantum secret sharing protocols, once the secret is shared in a quantum network (\textsc{qnet}) it can not be retrieved back, even if the dealer wishes that her secret no longer be available in the network. For instance, if the dealer is part of two \textsc{qnet}s, say ${\mathcal{Q}}_1$ and ${\mathcal{Q}}_2$ and subsequently finds that ${\mathcal{Q}}_2$ is more reliable than ${\mathcal{Q}}_1$, the dealer may wish to transfer all her secrets from ${\mathcal{Q}}_1$ to ${\mathcal{Q}}_2$. In this work we address this problem by designing a protocol that enables the source/dealer to bring back the information shared in the network, if desired. Unlike classical revocation, no-cloning-theorem automatically ensures that the secret is no longer shared in the network. The implications of our results are multi-fold. One interesting implication of our technique is the possibility of routing qubits in asynchronous \textsc{qnets}. By asynchrony we mean that the requisite data/resources are intermittently available (but not necessarily simultaneously) in the \textsc{qnet}. For example, we show that a source $S$ can send quantum information to a destination $R$ even though (a) $S$ and $R$ share no quantum resource, (b) $R$'s identity is {\em unknown}\/ to $S$ initially, (c) $S$ herself can be $R$ at a later date and/or in a different location to bequeath her information and (d) the path chosen for routing the secret may hit a dead-end due to resource constraints. Another implication of our technique is the possibility of using {\em insecure}\/ resources. For instance, it may safely store its private information with a neighboring organization without revealing data to the host and losing control over retrieving the data. Putting the two implications together, namely routing and secure storage, it is possible to envision applications like quantum mail (qmail) as an outsourced service.

5 Pages including Appendix, 3 Figures and 3 Tables

References in corpus (5)

• Experimental quantum teleportation
• Cryptanalysis of the Hillery-Buzek-Berthiaume quantum secret-sharing protocol
• Quantum secret sharing with qudit graph states
• Generalized Quantum State Sharing
• Quantum secret sharing with two qubit bipartite mixed states

Cited by in corpus (26)

• Designing Quantum Router in IBM Quantum Computer
• Quantum routing of single optical photons with a superconducting flux qubit
• Non-negativity of conditional von Neumann entropy and global unitary operations
• Controlled State Reconstruction and Quantum Secret Sharing
• Sequential Quantum Secret Sharing in a Noisy Environment aided with Weak Measurements
• Broadcasting of Quantum Correlations: Possibilities & Impossibilities
• Implementation of an efficient linear-optical quantum router
• Controllable entangled state distribution in a dual-rail reconfigurable optical network
• Asymmetric broadcasting of quantum correlations
• A note on superposition of two unknown states using Deutsch CTC model
• Broadcasting of quantum correlations in qubit-qudit systems
• Temperature-dependent remote control of polarization and coherence intensity with pure sender's initial state
• Perfect chiral quantum routing
• Quantum channels that destroy negative conditional entropy
• Broadcasting of correlations via orthogonal & non-orthogonal state dependent cloners
• Maximal Secret Reconstruction, Teleportation and Bell's Inequality
• Teleportation fidelity of quantum repeater networks
• Efficient Routing for Quantum Key Distribution Networks
• Recovery of resources through sequential noisy measurements
• Three Party Quantum Networks Created by Quantum Cloning
• Any Two Qubit State Has Non Zero Quantum Discord Under Global Unitary Operations
• Revocation and Reconstruction of Shared Quantum States
• Teleportation Fidelity of Binary Tree Quantum Repeater Networks
• Revocation and Reconstruction of Shared Quantum States
• Is Post Selection Physical: A Device Independent Outlook
• Broadcasting of NPT Entanglement in Two Qutrit Systems