Solution to the mean king's problem using quantum error-correcting codes
arXiv:1507.07072 · doi:10.1103/PhysRevA.91.052326
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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- Uncertainty relations for general unitary operators
- Entanglement witnesses from mutually unbiased bases
- Experimental Solutions to the High-Dimensional Mean King's Problem
- Solutions to the mean king's problem: higher-dimensional quantum error-correcting codes