These theoretical results allow us to find situations when the maximally entangled state is the optimal probe state for both the SLD bound and the HN bound.Using this theory, we prove in the Supplemental Information that for channel estimation with a single embedded parameter, and where the ...
There is a homomorphism from V to V/W that is an isomorphism from S to its image in V/W as convex sets. So we can just as well work with V/W, and doing so in fact eliminates structure from V that was not needed in order to embed S. 2.2.1.3.b Topology on the Embedding Space...
We introduce a new quantum adversary method to prove lower bounds on the query complexity of the quantum state generation problem. This problem encompasses both, the computation of partial or total functions and the preparation of target quantum states. There has been hope for quite some time that...
Recursive state machines (RSMs) are state-based models for procedural programs with wide-ranging applications in program verification and interprocedural a
In Section 2, we first introduce a statistical model on an extended sample space Ω that represents the randomized state tomography. We then clarify that the probability simplex 𝒫(Ω) is decomposed into mutually orthogonal dualistic foliation by means of certain ∇(𝑚)- and ∇(𝑒)-...
, d − 1 } , and the submanifold E ( ξ ) is generated by changing the remaining parameters θ a a ∈ { 1 , … , d } . This implies that E ( ξ ) is ∇ ( e ) -autoparallel, proving the first part of the claim. To prove the second part, let us introduce a mixed ...