Learn More
Random Access Codes is an information task that has been extensively studied and found many applications in quantum information. In this scenario, Alice receives an n-bit string x, and wishes to encode x into a quantum state ρ x , such that Bob, when receiving the state ρ x , can choose any bit i ∈ [n] and recover the input bit x i with high probability.(More)
We show that for any (partial) query function f : {0, 1} n → {0, 1}, the randomized communication complexity of f composed with Index n m (with m = poly(n)) is at least the random-ized query complexity of f times log n. Here Index m : [m] × {0, 1} m → {0, 1} is defined as Index m (x, y) = y x (the xth bit of y). Our proof follows on the lines of Raz and(More)
  • 1