Entanglement properties of a measurement-based entanglement distillation experiment

Abstract

Measures of entanglement can be employed for the analysis of numerous quantum information protocols. Due to computational convenience, logarithmic negativity is often the choice in the case of continuous variable systems. In this work, we analyse a continuous variable measurement-based entanglement distillation experiment using a collection of entanglement measures. This includes: logarithmic negativity, entanglement of formation, distillable entanglement, relative entropy of entanglement, and squashed entanglement. By considering the distilled entanglement as a function of the success probability of the distillation protocol, we show that the logarithmic negativity surpasses the bound on deterministic entanglement distribution at a relatively large probability of success. This is in contrast to the other measures which would only be able to do so at much lower probabilities, hence demonstrating that logarithmic negativity alone is inadequate for assessing the performance of the distillation protocol. In addition to this result, we also observed an increase in the distillable entanglement by making use of upper and lower bounds to estimate this quantity. We thus demonstrate the utility of these theoretical tools in an experimental setting.

arXiv comment12 pages, 8 figures, submitted

References in corpus (59)

• Quantum entanglement
• Mixed State Entanglement and Quantum Error Correction
• Separability Criterion for Density Matrices
• A computable measure of entanglement
• The Security of Practical Quantum Key Distribution
• Gaussian Quantum Information
• Introducing Quantum Discord
• Concentrating Partial Entanglement by Local Operations
• Peres-Horodecki separability criterion for continuous variable systems
• Inseparability criterion for continuous variable systems
• Quantifying Entanglement
• Steering, Entanglement, Nonlocality, and the EPR Paradox
• Entanglement Measures and Purification Procedures
• General Benchmarks for Quantum Repeaters
• Fundamental Limits of Repeaterless Quantum Communications
• Separability criterion and inseparable mixed states with positive partial transposition
• Universal Quantum Computation with Continuous-Variable Cluster States
• Distillation of secret key and entanglement from quantum states
• One-sided Device-Independent Quantum Key Distribution: Security, feasibility, and the connection with steering
• Quantum data processing and error correction
• Fundamental rate-loss tradeoff for optical quantum key distribution
• "Squashed Entanglement" - An Additive Entanglement Measure
• Quantum Distribution of Gaussian Keys with Squeezed States
• The asymptotic entanglement cost of preparing a quantum state
• Noiseless Linear Amplification and Distillation of Entanglement
• Entanglement of formation for symmetric Gaussian states
• Non-Gaussian entanglement distillation for continuous variables
• The entanglement cost under operations preserving the positivity of partial transpose
• Computing quantum discord is NP-complete
• Gaussian measures of entanglement versus negativities: the ordering of two-mode Gaussian states
• Experimental demonstration of Gaussian protocols for one-sided device-independent quantum key distribution
• Characterizing the entanglement of bipartite quantum systems
• Gaussian Entanglement of Formation
• Experimental entanglement distillation of mesoscopic quantum states
• Engineering quantum operations on traveling light beams by multiple photon addition and subtraction
• Virtual noiseless amplification and Gaussian post-selection in continuous-variable quantum key distribution
• Measurement-Based Noiseless Linear Amplification for Quantum Communication
• Distillation of the two-mode squeezed state
• Undoing the effect of loss on quantum entanglement
• Reverse Coherent Information
• Entanglement generation and degradation by passive optical devices
• A characterization of continuous variable entanglement
• Ordering States with Entanglement Measures
• Multiplicativity of completely bounded p-norms implies a new additivity result
• Entanglement of formation for an arbitrary two-mode Gaussian state
• Quantifying the Coherence Between Coherent States
• Quantifying entanglement in two-mode Gaussian states
• Proposal for the Measurement of Bell-like Correlations from Continuous Variables
• Entanglement cost and quantum channel simulation
• Continuous variable entanglement distillation of Non-Gaussian Mixed States
• Violation of Bells inequality using continuous variable measurements
• Optimal Gaussian Entanglement Swapping
• Assessing the performance of quantum repeaters for all phase-insensitive Gaussian bosonic channels
• Simulation of Gaussian channels via teleportation and error correction of Gaussian states
• Gaussian relative entropy of entanglement
• Closed formula for the relative entropy of entanglement in all dimensions
• An operational measure for squeezing
• On the entanglement of formation of two-mode Gaussian states: a compact form
• Calculating the relative entropy of entanglement

Cited by in corpus (3)

• Dissipative evolution of quantum Gaussian states
• Clustering of conditional mutual information and quantum Markov structure at arbitrary temperatures
• Recognizing critical lines via entanglement in non-Hermitian systems