Which representation–extraction tasks can STP implement?
Determine which coherent operations in a representation–extraction duality are available from STP, and whether they yield verification or state-generation tasks.
Discuss this questionApply an explicitly stated representation/extraction duality to a subsystem-spin setting and determine which required coherent operations are available from STP. Ask whether the resulting task yields a useful verification or state-generation problem; do not infer cryptographic security from symmetry alone.
Why this is interesting
Representation–extraction duality relates coherent operations to verification tasks in quantum cryptography. It gives a concrete setting in which to ask which parts of that correspondence are accessible through STP.
A place to start
Work through the smallest nontrivial group example in the representation-duality framework and separate extraction, measurement, cloning, and verification.
Related work
These works provide context and established results. They need not be the origin of this exact formulation.
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