Is Entanglement Monogamous?

Abstract

In this article I discuss Charlie's Bennett's influence in quantum information theory and our answers to the question whether quantum entanglement is `monogamous'.

10 pages; contribution to Charles Bennett's 60th Birthday Symposium

Cited by in corpus (167)

• Quantum entanglement
• Bell nonlocality
• Matrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems
• Matrix product states represent ground states faithfully
• Entanglement in continuous variable systems: Recent advances and current perspectives
• General Monogamy Inequality for Bipartite Qubit Entanglement
• Fully device independent quantum key distribution
• Security in Quantum Cryptography
• Simulation methods for open quantum many-body systems
• Continuous variable tangle, monogamy inequality, and entanglement sharing in Gaussian states of continuous variable systems
• Multipartite entanglement in three-mode Gaussian states of continuous variable systems: Quantification, sharing structure and decoherence
• Long-Distance Measurement-Device-Independent Multiparty Quantum Communication
• Multipartite Gaussian steering: monogamy constraints and quantum cryptography applications
• Are general quantum correlations monogamous?
• Absolutely Maximally Entangled states, combinatorial designs and multi-unitary matrices
• Advances in device-independent quantum key distribution
• Monogamy inequality for distributed Gaussian entanglement
• Tsallis entropy and entanglement constraints in multi-qubit systems
• Duality for monogamy of entanglement
• A Monogamy-of-Entanglement Game With Applications to Device-Independent Quantum Cryptography
• Towards Large-Scale Quantum Networks
• Monogamy and polygamy for multi-qubit entanglement using Rényi entropy
• Unitarity of black hole evaporation in final-state projection models
• Monte Carlo simulation with Tensor Network States
• Strong monogamy conjecture for multiqubit entanglement: The four-qubit case
• Quantum Dynamics as an analog of Conditional Probability
• Should Entanglement Measures be Monogamous or Faithful?
• Monogamy of Correlations vs. Monogamy of Entanglement
• Quantum message compression with applications
• A few steps more towards NPT bound entanglement
• Schur complement inequalities for covariance matrices and monogamy of quantum correlations
• Inequalities for the Ranks of Quantum States
• Entropic uncertainty and measurement reversibility
• Key distillation from quantum channels using two-way communication protocols
• Unified entropy, entanglement measures and monogamy of multi-party entanglement
• Entanglement Monogamy of Tripartite Quantum States
• Position-Momentum Uncertainty Relations in the Presence of Quantum Memory
• Strong Monogamy of Bipartite and Genuine Multipartite Entanglement: The Gaussian Case
• Monogamy of entanglement without inequalities
• Cost of quantum entanglement simplified
• Negativity and strong monogamy of multi-party quantum entanglement beyond qubits
• Polygamy of Distributed Entanglement
• Quantum Cryptography Based Solely on Bell's Theorem
• Squashed entanglement, k-extendibility, quantum Markov chains, and recovery maps
• Attacking the Quantum Internet
• Limitations to sharing entanglement
• Monogamy equalities for qubit entanglement from Lorentz invariance
• The quantumness of correlations revealed in local measurements exceeds entanglement
• Quantum correlations and secret bits
• The Feynman problem and Fermionic entanglement: Fermionic theory versus qubit theory
• Multipartite Entanglement Measure and Complete Monogamy Relation
• Understanding nature from experimental observations: a theory independent test for gravitational decoherence
• The impossibility of non-signaling privacy amplification
• Quantum metrology: Heisenberg limit with bound entanglement
• Monogamy of the Entanglement of Formation
• Monogamy of quantum correlations in three qubit pure states using Rajagopal-Rendell (RR) quantum deficit
• Broadcasting Quantum Fisher Information
• General polygamy inequality of multi-party quantum entanglement
• All Multiparty Quantum States Can Be Made Monogamous
• Manipulating the quantum information of the radial modes of trapped ions: Linear phononics, entanglement generation, quantum state transmission and non-locality tests
• Genuine multipartite entanglement of symmmetric Gaussian states: Strong monogamy, unitary localization, scaling behavior, and molecular sharing structure
• Witnessing Entanglement and Quantum Correlations in Condensed Matter: A Review
• Monogamy of correlations and entropy inequalities in the Bloch picture
• Weighted polygamy inequalities of multiparty entanglement in arbitrary dimensional quantum systems
• Phase-Matching Quantum Cryptographic Conferencing
• Do Large Number of Parties Enforce Monogamy in All Quantum Correlations?
• Monogamy relation of multi-qubit systems for squared Tsallis-\emph{q} entanglement
• Compatible quantum correlations: on extension problems for Werner and isotropic states
• Tighter constraints of multiqubit entanglement
• Entanglement sharing: from qubits to Gaussian states
• Shareability of Quantum Steering and its Relation with Entanglement
• $\alpha$-Logarithmic negativity
• Extended nonlocal games and monogamy-of-entanglement games
• Device-Independent Quantum Key Distribution Based on the Mermin-Peres Magic Square Game
• Symmetry Breaking and Convex Set Phase Diagrams for the q-state Potts Model
• Entanglement polygon inequality in qudit systems
• A Variational Ansatz for the Ground State of the Quantum Sherrington-Kirkpatrick Model
• Practical and unconditionally secure spacetime-constrained oblivious transfer
• Extracting entanglement geometry from quantum states
• Symmetry Breaking and the Geometry of Reduced Density Matrices
• Generalized Entropy and Global Quantum Discord in Multi-party Quantum systems
• Coexistence of unlimited bipartite and genuine multipartite entanglement: Promiscuous quantum correlations arising from discrete to continuous variable systems
• Public and private communication with a quantum channel and a secret key
• Monogamy relations for generalized W class states in terms of Tsallis entropy beyond qubits
• Extendibility of bosonic Gaussian states
• Entanglement switching via the Kondo effect in triple quantum dots
• On Strong Monogamy Conjecture in Four-Qubit System
• One-out-of-$m$ spacetime-constrained oblivious transfer
• Monogamy of Einstein-Podolsky-Rosen steering in the background of an asymptotically flat black hole
• Testing symmetry on quantum computers
• Unification of multi-qubit polygamy inequalities
• Conclusive Identification of Quantum Channels via Monogamy of Quantum Correlations
• Entanglement measures of Majorana bound states
• Strong monogamy of multi-party quantum entanglement for partially coherently superposed states
• Experimental Efficient Source-Independent Quantum Secret Sharing against Coherent Attacks
• Classical extension of quantum-correlated separable states
• Parametric down conversion with a depleted pump as a model for classical information transmission capacity of quantum black holes
• Monogamy of quantum entanglement
• Tighter monogamy and polygamy relations of multiparty quantum entanglement
• The Network Impact of Hijacking a Quantum Repeater
• Detecting Consistency of Overlapping Quantum Marginals by Separability
• Construction of genuinely multipartite entangled subspaces and the associated bounds on entanglement measures for mixed states
• Exact entanglement cost of quantum states and channels under PPT-preserving operations
• Complete monogamy of the multipartite quantum mutual information
• Geometric approach to entanglement quantification with polynomial measures
• Lower bounds on violation of monogamy inequality for quantum correlation measures
• Tightening monogamy and polygamy relations of unified entanglement in multipartite systems
• Monogamy and entanglement in tripartite quantum states
• Tighter monogamy relations of multiqubit entanglement in terms of Rényi-$\alpha$ entanglement
• Security of entanglement-based QKD with realistic parametric down-conversion sources
• Monogamy inequality in terms of entanglement measures based on distance for pure multiqubit states
• Entanglement of formation and monogamy of multi-party quantum entanglement
• Monogamy relations of all quantum correlation measures for multipartite quantum systems
• Tighter constraints of multiqubit entanglement in terms of Rényi-$\alpha$ entropy
• Generalised monogamy relation of convex-roof extended negativity in multi-level systems
• Canonical steering ellipsoids of pure symmetric multiqubit states with two distinct spinors and volume monogamy of steering
• Monogamy of Entanglement Measures Based on Fidelity in Multiqubit Systems
• Monogamy of Logarithmic Negativity and Logarithmic Convex-Roof Extended Negativity
• Entanglement of assistance in three-qubit systems
• Quantum correlations in nanostructured two-impurity Kondo systems
• Multi-linear Monogamy Relations for Three Qubit States
• Tighter monogamy and polygamy relations for a superposition of the generalized $W$-class state and vacuum
• Verification of Bell Nonlocality by Violating Quantum Monogamy Relations
• Activation of Nonmonogamous Multipartite Quantum States
• Tsallis entropy, $q$-expectation and constraints on three-party quantum correlations
• Complete Genuine Multipartite Entanglement Monotone
• Quantifying the unextendibility of entanglement
• Geometric picture for SLOCC classification of pure permutation symmetric three-qubit states
• On state vs. channel quantum extension problems: exact results for UxUxU symmetry
• Lattice regularisation and entanglement structure of the Gross-Neveu model
• Tighter monogamy inequalities of multiqubit entanglement
• Tighter constraints of multiqubit entanglement for negativity
• Partial-Norm of Entanglement: Entanglement Monotones That are not Monogamous
• Tighter monogamy relations in multiparty quantum systems
• Polygamy of multi-party $q$-expected quantum entanglement
• Entanglement subvolume law for 2D frustration-free spin systems
• Maximum Violation of Monogamy of Entanglement for Indistinguishable Particles by Measures that are Monogamous for Distinguishable Particles
• Several Trade off Features of Quantum Steering in Distributed Scenario
• Constant Overhead Entanglement Distillation via Scrambling
• Quantum Entanglement Dynamics of Spacetime and Matter
• Strong polygamy of quantum correlations in multi-party quantum systems
• General monogamy relations of the $S^t$ and $T_q^t$-entropy entanglement measures based on dual entropy
• Evaporating black holes and late-stage loss of soft hair
• A Quantum Information Perspective on Many-Body Dispersive Forces
• Time evolution of the inside of the black hole's horizon
• Bipartite and tripartite entanglement in a Bose-Einstein acoustic black hole
• Tighter Constraints of Multi-Qubit Entanglement in Terms of Nonconvex Entanglement Measures LCREN and LCRENoA
• Uncloneable Encryption from Decoupling
• Tighter monogamy relations of entanglement measures based on fidelity
• Entanglement in the Dicke subspace
• Tighter superadditivity relations for $l_1$-norm coherence measure
• Monogamy of highly symmetric states
• Quantum circuit simulation of black hole evaporation and Maxwell demon interpretation
• Tighter Constraints of Multipartite Systems in terms of General Quantum Correlations
• The polygon relation and subadditivity of entropic measures for discrete and continuous multipartite entanglement
• Emergence of Monogamy under Static and Dynamic Scenarios
• Universal Entanglement and an Information-Complete Quantum Theory
• Distribution of Gaussian Entanglement in Linear Optical Systems
• Unified monogamy relations for the generalized $W$-class states beyond qubits
• Monogamous nature of symmetric multiqubt states with distinct spinors
• Monogamy constraints on entanglement of four-qubit pure states
• Quantum Monogamy with Predetermined Events
• Maximal extension on converse monogamy of entanglement for tripartite pure states
• Macroscopic entanglement between localized domain walls inside a cavity
• Error Threshold of SYK Codes from Strong-to-Weak Parity Symmetry Breaking
• Star-specific Key-homomorphic PRFs from Learning with Linear Regression
• Entanglement and volume monogamy features of permutation symmetric N-qubit pure states with N-distinct spinors: GHZ and WWbar states