Maximizing the entanglement of two mixed qubits

By William J. Munro, D. James, A. White, Paul G. Kwiat. 2001

257 citations recorded by the source corpus.

Two-qubit states occupy a large and relatively unexplored Hilbert space. Such states can be succinctly characterized by their degree of entanglement and purity. In this article we investigate entangled mixed states and present a class of states that have the maximum amount of entanglement for a given linear entropy.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/ebe80d6f9a24525325c95338272ef0864e81e2bd

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In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

Citations in the corpus

Photonic State Tomography (2005, background): “where |γ 〉 is a maximally entangled state and (1)4I is the totally mixed state, and the maximally entangled mixed states (MEMS), which possess the maximum amount of entanglement for a given amount of mixture (Munro et al., 2001).”
Sudden death of entanglement at finite temperature (2007, background): “Such states are general enough to include states such as the Werner states, the maximally entangled mixed states (MEMS) [21], the Bell States, and what we will refer to as the ρ̂Y E states, studied in [3] and which will be described later.”
Geometry of Quantum States: Index (2007, background): “On the other hand, concurrence C becomes maximal for the states [680]”
The classical-quantum boundary for correlations: Discord and related measures (2011, background): “The maximally-discordant mixed states (MDMS) are defined in analogy to maximally-entangled mixed states (Munro et al., 2001; Wei et al., 2003).”
Entanglement in many-body systems (2007, methodology): “…the state maximizing the nearest neighbor concurrence C(1) were an eigenstate of the z component of the total spin (Ishizaka and Hiroshima, 2000; Munro et al., 2001; Verstraete et al., 2001) the problem was recast to an optimization procedure similar in spirit to the coordinate Bethe ansatz…”