2 research outputs found
Finite-Function-Encoding Quantum States
We investigate the encoding of higher-dimensional logic into quantum states.
To that end we introduce finite-function-encoding (FFE) states which encode
arbitrary -valued logic functions and investigate their structure as an
algebra over the ring of integers modulo . We point out that the
polynomiality of the function is the deciding property for associating
hypergraphs to states. Given a polynomial, we map it to a tensor-edge
hypergraph, where each edge of the hypergraph is associated with a tensor. We
observe how these states generalize the previously defined qudit hypergraph
states, especially through the study of a group of finite-function-encoding
Pauli stabilizers. Finally, we investigate the structure of FFE states under
local unitary operations, with a focus on the bipartite scenario and its
connections to the theory of complex Hadamard matrices.Comment: Comments welcom