On convertibility among bipartite 2x2 entangled states
- URL: http://arxiv.org/abs/2402.08166v1
- Date: Tue, 13 Feb 2024 01:53:48 GMT
- Title: On convertibility among bipartite 2x2 entangled states
- Authors: Yiruo Lin
- Abstract summary: It is impossible to convert to an entangled state with lower rank under separable operations.
It is conjectured that MEMS may lie on the bottom of entangled state ordering for given entanglement of formation.
- Score: 0.8702432681310401
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Some progress is reported on conditions for convertibility among bipartite
2x2 entangled states: An inconvertibility condition related to the rank of an
entangled state is given that it is impossible to convert to an entangled state
with lower rank under separable operations; a particular set of local
operations and classical communication (LOCC) is used to analyze convertibility
of three subclasses of states - Werner states, Bell diagonal states and
maximally entangled mixed states (MEMS). It is conjectured that MEMS may lie on
the bottom of entangled state ordering for given entanglement of formation. A
plausible way is suggested of systematically calculating convertibility in a
general subclass of bipartite states whose density matrices are defined to be
diagonal in a common basis. The set of LOCC adopted in this work is argued to
be generalizable to provide sufficient conditions for convertibility among a
large range of general 2x2 entangled states.
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