Broadcasting of correlations via orthogonal & non-orthogonal state dependent cloners
arXiv:1904.12899 · doi:10.1007/s11128-019-2500-6
Abstract
In this work, we extensively study the problem of broadcasting of entanglement as state dependent versus state independent cloners. We start by re-conceptualizing the idea of state dependent quantum cloning machine (SD-QCM), and in that process, we introduce different types of SD-QCMs, namely, orthogonal and non-orthogonal cloners. We derive the conditions for which the fidelity of these cloners will become independent of the input state. We note that such a construction allows us to maximize the cloning fidelity at the cost of having partial information of the input state. In the discussion on broadcasting of entanglement, we start with a general two qubit state as our resource and later we consider a specific example of Bell diagonal state. We apply both state dependent and state independent cloners (orthogonal and non-orthogonal), locally and non locally, on input resource state and obtain a range for broadcasting of entanglement in terms of the input state parameters. Our results highlight several instances where the state dependent cloners outperform their state independent counterparts in broadcasting entanglement. Our study provides a comparative perspective on the broadcasting of entanglement via cloning in two qubit scenario, when we have some knowledge of the resource ensemble versus a situation when we have no such information.
arXiv comment9 pages, 6 figures
References in corpus (39)
- Quantum entanglement
- Separability Criterion for Density Matrices
- Separability of Mixed States: Necessary and Sufficient Conditions
- Introducing Quantum Discord
- Quantum secret sharing
- Concentrating Partial Entanglement by Local Operations
- Simple Proof of Security of the BB84 Quantum Key Distribution Protocol
- Quantifying Coherence
- Classical, quantum and total correlations
- Security of quantum key distribution using d-level systems
- Quantum privacy amplification and the security of quantum cryptography over noisy channels
- Quantum Copying: Beyond the No-Cloning Theorem
- A Multiparticle Generalization of Entanglement Swapping
- Optimal Quantum Cloning Machines
- Quantum cloning
- Optimal Universal and State-Dependent Quantum Cloning
- Non-maximally entangled states: production, characterization and utilization
- Everything You Always Wanted to Know About LOCC (But Were Afraid to Ask)
- Teleportation, Bell's Inequalities and Inseparability
- Multi-Particle Entanglement Purification Protocols
- Quantum cloning and the capacity of the Pauli channel
- Quantum Discord and the Geometry of Bell-Diagonal States
- Asymmetric quantum cloning machines in any dimension
- Broadcasting of entanglement via local copying
- Asymmetric quantum telecloning of d-level systems and broadcasting of entanglement to different locations using the "many-to-many" communication protocol
- Creation of superposition of unknown quantum states
- Retrieving and Routing Quantum Information in a Quantum Network
- Maximally dense coding capable quantum states
- Quantum information cannot be split into complementary parts
- Broadcasting Quantum Coherence via Cloning
- A Study of Teleportation and Super Dense Coding capacity in Remote Entanglement Distribution
- Broadcasting of entanglement and universal quantum cloners
- Sequential Quantum Secret Sharing in a Noisy Environment aided with Weak Measurements
- No-Flipping as a consequence of No-Signalling and Non-increase of Entanglement under LOCC
- No partial erasure of quantum information
- High fidelity quantum cloning of two known nonorthogonal quantum states via weak measurement
- Broadcasting of Quantum Correlations: Possibilities & Impossibilities
- Broadcasting of Inseparability
- Asymmetric broadcasting of quantum correlations