Following my previous seminar talk on embezzlement of entanglement, this talk introduces a more general version of the problem — self-embezzlement. Instead of embezzling a pair of entangled state from a catalyst, self-embezzlement aims to create two copies of the catalyst state using only local operators.
To achieve this, we introduces a new model describing locality in quantum information, the C*-circuit model. The C*-circuit model is a special case of the commuting operator framework, and uses C*-algebra to describe local quantum systems. One interesting aspect of self-embezzlement is that it cannot be achieved approximately to arbitrary precision in the tensor product framework, thus giving us an example of constant-gap difference between the tensor product and commuting operator framework.
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