Solution to the mean king's problem using quantum error-correcting codes
Masakazu Yoshida, Gen Kimura, Takayuki Miyadera, Hideki Imai, Jun, Cheng
TL;DR
This paper presents a novel approach to solving the mean king's problem by leveraging quantum error-correcting codes, framing the problem as an error detection task in quantum systems.
Contribution
It introduces a method to solve the mean king's problem using quantum error-correcting codes and demonstrates the existence of such codes from solutions.
Findings
Solution of the mean king's problem via quantum error correction
Existence of quantum error-correcting codes derived from solutions
Error detection framework applied to non-commutative observables
Abstract
We discuss the so-called mean king's problem, a retrodiction problem among non-commutative observables, in the context of error detection. Describing the king's measurement effectively by a single error operation, we give a solution of the mean king's problem using quantum error-correcting codes. The existence of a quantum error-correcting code from a solution is also presented.
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