Why we use local operations and classical communication (LOCC) to . . . What is charming about LOCC operations is that they have operational significance The form the broadest class of operations where communication parties act locally on their systems and are moreover able to send classical messages The "entanglement of formation" gets its operational significance via this class
LOCC vs. separable measurements - Physics Stack Exchange This requires classical communication between the two measurement steps, but this is still allowed in LOCC So, this is a LOCC distinguishable operator But with the example you gave, there is no way for the two parties to (perfectly) identify which of the nine states they have, using only these LOCC operations!
LOCC operations and LOCC protocol - Physics Stack Exchange An LOCC operation is an element of the class LOCC, which contains all local quantum operations and classical communication In other words, an LOCC operation would be doing a local quantum operation or doing some classical communication An LOCC protocol is just a sequence of such operations Usually, a protocol implements a task, such as
quantum information - What is the precise statement of the rule LOCC . . . I'm not suggesting having observed a paradox here, just to be clear! :) I'm just trying to verbalize what I don't understand about the definition of LOCC and about the principle that LOCC cannot create new entanglement -- in the case of multipartite systems $\endgroup$ –
quantum mechanics - What is a Local-Operations and Classical . . . Any LOCC operation is a separable operation (so the answer to your second question is "yes") but there are separable operations which are not LOCC operations To see why LOCC operations are separable, we need to define exactly what we mean by LOCC
Why cant we increase quantum entanglement via LOCC? Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
What is an example of LOCC measurement which is not separable? Conversely, not every separable POVM can be written as a LOCC POVM A counterexample is given in Bennett et al , Quantum Nonlocality without Entanglement , Phys Rev A 59, 1070 (1999) Share
Techniques For Optimisation Over LOCC Measurements Some standard methods I've come across to tackle these involve extending the set of LOCC to SEP or PPT, which are well characterized, so given this, one can then "possibly" convert the given problem to a semi-definite optimization program to find solutions for situations involving optimization over SEP PPT operations and then, if lucky, somehow
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