4 papers · 1 filter
Tomographic Limits of the Petz Recovery Map
Peter Sidajaya, Clive Cenxin Aw, Mingxuan Liu +1
The Petz recovery map is considered one of the key candidates for the quantum analogue of Bayesian inference and Jeffrey's conditionalization. Since, there seems to be a natural co…
Unifying Quantum Smoothing Theories with Extended Retrodiction
Mingxuan Liu, Ge Bai, Valerio Scarani
Estimating the state of an open quantum system monitored over time requires incorporating information from past measurements (filtering) and, for improved accuracy, also from futur…
Proper and improper mixed states serve as different prior beliefs for quantum state retrodiction
Mingxuan Liu, Valerio Scarani, Ge Bai
A mixed quantum state can be taken as capturing an unspecified form of ignorance; or as describing the lack of knowledge about the true pure state of the system ("proper mixture");…
A Retrodictive Approach to Quantum State Smoothing
Mingxuan Liu, Valerio Scarani, Alexia Auffèves +1
Smoothing is a technique for estimating the state of an imperfectly monitored open system by combining both prior and posterior measurement information. In the quantum regime, curr…