Related Experiment Video
Updated: Aug 7, 2026
07:56
A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
Published on: September 5, 2019
General monogamy inequality for bipartite qubit entanglement
Tobias J Osborne1, Frank Verstraete
1Department of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW, United Kingdom. T.J.Osbourne@bristol.ac.uk
Physical Review Letters
|June 29, 2006
Summary
We proved that multipartite quantum entanglement satisfies a monogamy inequality. This finding connects quantum entanglement in qubit systems to correlation frustration in quantum spin systems.
Area of Science:
- Quantum Information Science
- Quantum Many-Body Physics
Background:
- Multipartite quantum states are fundamental in quantum information.
- Bipartite entanglement quantification is crucial for understanding quantum correlations.
- The Coffman-Kundu-Wootters (CKW) inequality is a key conjecture in quantum entanglement theory.
Purpose of the Study:
- To prove the monogamy inequality for bipartite quantum entanglement in multipartite qubit states.
- To establish a connection between the monogamy inequality and correlation frustration in quantum spin systems.
Main Methods:
- Analysis of multipartite states of qubits.
- Quantification of bipartite quantum entanglement using concurrence.
- Mathematical derivation to prove the monogamy inequality.
Main Results:
- The concurrence of multipartite qubit states satisfies the conjectured CKW monogamy inequality.
- A direct relationship is established between this monogamy inequality and the concept of frustration in quantum spin systems.
Conclusions:
- The study confirms the CKW monogamy inequality for bipartite entanglement in multipartite qubit systems.
- The findings provide a new perspective on quantum correlations by linking entanglement monogamy to frustration phenomena.
Related Concept Videos
03:06The Pauli Exclusion Principle
The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:
01:16Second Uniqueness Theorem
Consider a region consisting of several individual conductors with a definite charge density in the region between these conductors. The second uniqueness theorem states that if the total charge on each conductor and the charge density in the in-between region are known, then the electric field can be uniquely determined.
In contrast, consider that the electric field is non-unique and apply Gauss's law in divergence form in the region between the conductors and the integral form to the surface...
In contrast, consider that the electric field is non-unique and apply Gauss's law in divergence form in the region between the conductors and the integral form to the surface...
01:20Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)
Two NMR-active nuclei bonded to a central atom can be involved in geminal or two-bond coupling. Geminal coupling is commonly seen between diastereotopic protons in chiral molecules and unsymmetrical alkenes, among others.
The central atom need not be NMR-active because its electrons are affected by the electron polarization of the spin-active atoms. However, spin information is transmitted less effectively than in one-bond coupling, and 2J values are usually weaker than 1J values. The energy of...
The central atom need not be NMR-active because its electrons are affected by the electron polarization of the spin-active atoms. However, spin information is transmitted less effectively than in one-bond coupling, and 2J values are usually weaker than 1J values. The energy of...
01:22Spin–Spin Coupling: Three-Bond Coupling (Vicinal Coupling)
Vicinal or three-bond coupling is commonly observed between protons attached to adjacent carbons. Here, nuclear spin information is primarily transferred via electron spin interactions between adjacent C‑H bond orbitals. This generally favors the antiparallel arrangement of spins, so 3J values are usually positive.
The extent of coupling depends on the C‑C bond length, the two H‑C‑C angles, any electron-withdrawing substituents, and the dihedral angle between the involved orbitals. The...
The extent of coupling depends on the C‑C bond length, the two H‑C‑C angles, any electron-withdrawing substituents, and the dihedral angle between the involved orbitals. The...
01:10Interpreting ¹H NMR Signal Splitting: The (n + 1) Rule
In the AX proton spin system, proton A can sense the two spin states of a coupled proton X, resulting in a doublet NMR signal with two peaks of equal (1:1) intensity. When proton A is coupled to two equivalent protons (AX2 spin system), the spin states of each X can be aligned with or against the external field, creating three possible scenarios. This results in a 1:2:1 triplet signal, where the central peak corresponds to the chemical shift of A and is twice as large or intense as the others.
01:18First Law: Particles in Two-dimensional Equilibrium
Recall that a particle in equilibrium is one for which the external forces are balanced. Static equilibrium involves objects at rest, and dynamic equilibrium involves objects in motion without acceleration; but it is important to remember that these conditions are relative. For instance, an object may be at rest when viewed from one frame of reference, but that same object would appear to be in motion when viewed by someone moving at a constant velocity.
Newton's first law tells us about the...
Newton's first law tells us about the...