Concurrence and a proper monogamy inequality for arbitrary quantum states
arXiv:0711.2865 · doi:10.1103/PhysRevA.78.012311
Abstract
We obtain an analytical lower bound of entanglement quantified by concurrence for arbitrary bipartite quantum states. It is shown that our bound is tight for some mixed states and is complementary to the previous known lower bounds. On the other hand, it is known that the entanglement monogamy inequality proposed by Coffman, Kundu, and Wootters is in general not true for higher dimensional quantum states. Inducing from the new lower bound of concurrence, we find a proper form of entanglement monogamy inequality for arbitrary quantum states.
4 pages, Theorem 2 was rephrased
References in corpus (24)
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Separability Criterion for Density Matrices
- Separability of Mixed States: Necessary and Sufficient Conditions
- Distributed Entanglement
- Scaling of Entanglement close to a Quantum Phase Transitions
- Mixed-state entanglement and distillation: is there a ``bound'' entanglement in nature?
- Matrix product states represent ground states faithfully
- General Monogamy Inequality for Bipartite Qubit Entanglement
- Quantum Phase Transitions and Bipartite Entanglement
- Entanglement Measures under Symmetry
- Fidelity and Concurrence of conjugated states
- Bound entanglement can be activated
- Concurrence of arbitrary dimensional bipartite quantum states
- Concurrence of mixed bipartite quantum states in arbitrary dimensions
- Evidence for Bound Entangled States with Negative Partial Transpose
- Distillability and partial transposition in bipartite systems
- I-concurrence and tangle for isotropic states
- Entanglement of Formation of Bipartite Quantum States
- Nonadditivity of Bipartite Distillable Entanglement follows from Conjecture on Bound Entangled Werner States
- Violation of monogamy inequality for higher-dimensional objects
- Separability criteria and bounds for entanglement measures
- Concurrence Vectors in Arbitrary Multipartite Quantum Systems
- Many copies may be required for entanglement distillation
- Lower Bound on Entanglement of Formation for the Qubit-Qudit System
Cited by in corpus (54)
- Quantifying entanglement resources
- Measuring Coherence with Entanglement Concurrence
- Monogamy of quantum correlations - a review
- Quantum Cloning Machines and the Applications
- Evaluation of convex roof entanglement measures
- General Monogamy of Tsallis -Entropy Entanglement in Multiqubit Systems
- Disentangling Theorem and Monogamy for Entanglement Negativity
- General monogamy relation of multi-qubit systems in terms of squared Rényi- entanglement
- A lower bound of concurrence for multipartite quantum states
- Observable estimation of entanglement for arbitrary finite-dimensional mixed states
- Monogamy equalities for qubit entanglement from Lorentz invariance
- Estimating entanglement monotones with a generalization of the Wootters formula
- Gisin's Theorem for Arbitrary Dimensional Multipartite States
- Hierarchical monogamy relations for the squared entanglement of formation in multipartite systems
- Bound of Entanglement of Assistance and Monogamy Constraints
- Entanglement dynamics of three-qubit states in noisy channels
- Defeating entanglement sudden death by a single local filtering
- Genuine multipartite entanglement detection and lower bound of multipartite concurrence
- Experimental Determination of Entanglement for Arbitrary Pure States
- Monogamy relation of multi-qubit systems for squared Tsallis-\emph{q} entanglement
- Quantum Entanglement: Separability, Measure, Fidelity of Teleportation and Distillation
- Shareability of Quantum Steering and its Relation with Entanglement
- Inequalities Detecting Quantum Entanglement for Systems
- Temperley-Lieb Algebra, Yang-Baxterization and Universal Gate
- Lower Bound of Concurrence and Distillation for Arbitrary Dimensional Bipartite Quantum States
- Evolution equation of entanglement for multi-qubit systems
- Lower Bound of Concurrence Based on Positive Maps
- Three-tangle for high-rank mixed states
- The one-way unlocalizable quantum discord
- Polygamy of Entanglement in Multipartite Quantum Systems
- Lower Bound of Multipartite Concurrence Based on Sub-quantum State Decomposition
- The Dynamics of the Bounds of Squared Concurrence
- Monogamy relations and upper bounds for the generalized -class states using Rényi- entropy
- Monogamy Inequality and Residual Entanglement of Three Qubits under Decoherence
- Correlation dynamics of three spin under a classical dephasing environment
- Triangle inequalities in coherence measures and entanglement concurrence
- Polygamy relation for the Rényi- entanglement of assistance in multi-qubit systems
- Realization of the tradeoff between internal and external entanglement
- A new bound of concurrence
- Estimating Concurrence via Entanglement Witnesses
- Lower bound on concurrence for arbitrary-dimensional tripartite quantum systems
- Concurrence and Entanglement Entropy of Stochastic 1-Qubit Maps
- Stochastic Schrödinger Equation for a Non-Markovian Dissipative Qubit-Qutrit System
- Long range entanglement in quantum dot systems under the Fermi-Hubbard approach
- Open-destination measurement-device-independent quantum key distribution network
- Entanglement Detection and Distillation for Arbitrary Bipartite Systems
- A Note on Quantum Entanglement and PPT
- Equation of motion for multiqubit entanglement in multiple independent noisy channels
- Lower bound of multipartite concurrence based on sub-multipartite quantum systems
- Computable constraints on entanglement-sharing of multipartite quantum states
- Monogamous nature of symmetric multiqubt states with distinct spinors
- Characterizing multipartite entanglement by violation of CHSH inequalities
- Symmetries of Multipartite Entanglement Evolution in Many-Sided Local Channels
- Monogamy inequalities for entanglement using continuous variable measurements