Do Large Number of Parties Enforce Monogamy in All Quantum Correlations?
arXiv:1312.6640 · doi:10.1103/PhysRevA.91.012341
Abstract
Monogamy is a non-classical property that restricts the sharability of quantum correlation among the constituents of a multipartite quantum system. Quantum correlations may satisfy or violate monogamy for quantum states. Here we provide evidence that almost all pure quantum states of systems consisting of a large number of subsystems are monogamous with respect to all quantum correlation measures of both the entanglement-separability and the information-theoretic paradigms, indicating that the volume of the monogamous pure quantum states increases with an increasing number of parties. Nonetheless, we identify important classes of pure states that remain non-monogamous with respect to quantum discord and quantum work-deficit, irrespective of the number of qubits. We find conditions for which a given quantum correlation measure satisfies vis-à-vis violates monogamy.
9 pages, 4 figs, RevTeX4.1; v2: slight changes in presentation, results unchanged
References in corpus (22)
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Quantum discord and the power of one qubit
- Quantum computing with trapped ions
- Experimental quantum computing without entanglement
- General Monogamy Inequality for Bipartite Qubit Entanglement
- On the quantum, classical and total amount of correlations in a quantum state
- Randomizing quantum states: Constructions and applications
- Monogamy Inequality in terms of Negativity for Three-Qubit States
- On the role of entanglement and correlations in mixed-state quantum computation
- Is Entanglement Monogamous?
- Conservation law for distributed entanglement of formation and quantum discord
- Monogamy inequality for distributed Gaussian entanglement
- Deterministic Entanglement of Assistance and Monogamy Constraints
- Quantum Information Processing in Optical Lattices and Magnetic Microtraps
- Optimal Cloning and Singlet Monogamy
- Experimental Test of Two-way Quantum Key Distribution in Presence of Controlled Noise
- Generalized information theoretic measure to discern the quantumness of correlations
- Monogamy of Quantum Discord by Multipartite Correlations
- Regional versus Global Entanglement in Resonating-Valence-Bond states
- Weaker entanglement guarantees stronger entanglement
- Multipartite monogamy of the concurrence
- Classification and monogamy of three-qubit biseparable Bell correlations
Cited by in corpus (28)
- Quantum discord and its allies: a review
- Monogamy of quantum correlations - a review
- Monogamy of entanglement without inequalities
- Generalized Geometric Measure of Entanglement for Multiparty Mixed States
- Enhancement of Quantum Correlation Length in Quenched Disordered Spin Chains
- Finer Distribution of Quantum Correlations among Multiqubit Systems
- Conditions for monogamy of quantum correlations in multipartite systems
- Complementary Quantum Correlations among Multipartite Systems
- Computable genuine multimode entanglement measure: Gaussian vs. non-Gaussian
- Quantum Coherence: Reciprocity and Distribution
- Forbidden regimes in the distribution of bipartite quantum correlations due to multiparty entanglement
- Lower bounds on violation of monogamy inequality for quantum correlation measures
- Monogamy relations of all quantum correlation measures for multipartite quantum systems
- On monogamy and polygamy relations of multipartite systems
- Information complementarity in multipartite quantum states and security in cryptography
- Monogamy and polygamy relations of quantum correlations for multipartite systems
- Distribution of Bell inequality violation vs. multiparty quantum correlation measures
- Activation of Nonmonogamous Multipartite Quantum States
- Tighter parameterized monogamy relations
- Restrictions on shareability of classical correlations for random multipartite quantum states
- Weighted monogamy and polygamy relations
- Emergence of Monogamy under Static and Dynamic Scenarios
- Superior monogamy and polygamy relations and estimates of concurrence
- Tighter Constraints of Multipartite Systems in terms of General Quantum Correlations
- Unified monogamy and polygamy relations for multipartite systems
- Is monogamy of entanglement geometrical?
- General monogamy and polygamy relations of arbitrary quantum correlations for multipartite systems
- Tighter bounds for generalized monogamy and polygamy relations