Sequential Reattempt of Telecloning
arXiv:2206.12702 · doi:10.1103/PhysRevA.107.042414
Abstract
The task of a telecloning protocol is to send an arbitrary qubit possessed by a sender to multiple receivers. Instead of performing Bell measurement at the sender's node, if one applies unsharp measurement, we show that the shared state can be recycled for further telecloning protocol. Specifically, in case of a single sender and two receivers, the maximal attempting number, which is defined as the maximum number of rounds used by the channel to obtain quantum advantage in the fidelity, turns out to be three both for optimal and nonoptimal shared states for telecloning while the maximal number reduces to two in case of three receivers. Although the original telecloning with quantum advantage being possible for arbitrary numbers of receivers, we report that the recycling of resources is not possible in telecloning involving a single sender and more than three receivers, thereby demonstrating a no-go theorem. We also connect the maximal achievable fidelities in each round with the bipartite entanglement content of the reduced state between the sender and one of the receivers as well as with the monogamy score of entanglement.
arXiv commentv1: 12 pages, 5 figures; v2: 13 pages, 5 figures; close to the publish version
References in corpus (39)
- Quantum entanglement
- Quantum Cryptography
- Entanglement of Formation of an Arbitrary State of Two Qubits
- The Quantum Internet
- Separability Criterion for Density Matrices
- A computable measure of entanglement
- The Security of Practical Quantum Key Distribution
- Three qubits can be entangled in two inequivalent ways
- Distributed Entanglement
- Advances in Quantum Cryptography
- The logarithmic negativity: A full entanglement monotone that is not convex
- Ground-to-satellite quantum teleportation
- Quantum Cryptography with Entangled Photons
- Advances in Quantum Teleportation
- Unconditionally secure quantum bit commitment is impossible
- General Monogamy Inequality for Bipartite Qubit Entanglement
- Distributed Quantum Computation over Noisy Channels
- Noncommuting mixed states cannot be broadcast
- Quantum telecloning and multiparticle entanglement
- Optimal Universal and State-Dependent Quantum Cloning
- Perfect Teleportation and Superdense Coding With W-States
- Teleportation, Bell's Inequalities and Inseparability
- Multiple Observers Can Share the Nonlocality of Half of an Entangled Pair by Using Optimal Weak Measurements
- Quantum copying: A network
- Distributed quantum dense coding
- Generalized Teleportation Protocol
- Arbitrarily many independent observers can share the nonlocality of a single maximally entangled qubit pair
- Masking quantum information is impossible
- Bilocal Bell inequalities violated by the quantum Elegant Joint Measurement
- Steering a single system sequentially by multiple observers
- Witnessing entanglement sequentially: Maximally entangled states are not special
- Asymmetric quantum telecloning of d-level systems and broadcasting of entanglement to different locations using the "many-to-many" communication protocol
- Advances in quantum dense coding
- Three-observer Bell inequality violation on a two-qubit entangled state
- Detection of genuine tripartite entanglement by multiple sequential observers
- Observation of nonlocality sharing via not-so-weak measurements
- Genuine Einstein-Podolsky-Rosen steering of three-qubit states by multiple sequential observers
- Generalized Quantum Telecloning
- Limits of network nonlocality probed by time-like separated observers