Quantum state smoothing as an optimal Bayesian estimation problem with three different cost functions

Review Physics, Multidisciplinary

Unifying theory of quantum state estimation using past and future information

Areeya Chantasri et al.

Summary: Quantum state estimation for continuously monitored dynamical systems involves assigning a quantum state to an individual system based on continuous observations. By integrating past and future information, a framework for partially observed quantum systems with continuous monitoring was proposed, along with the definition of new cost functions and types of estimators to bridge existing approaches.

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS (2021)

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Article Physics, Multidisciplinary

Quantum Rauch-Tung-Striebel smoothed state

Kiarn T. Laverick

Summary: Smoothing is a technique used to estimate the state of a system, with different techniques for classical and quantum systems. A specific quantum smoothing theory has been developed, particularly for linear Gaussian quantum systems. The resulting equations are closely related to classical smoothing equations, revealing hidden properties of the smoothed quantum state.

PHYSICAL REVIEW RESEARCH (2021)

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Article Physics, Multidisciplinary

General criteria for quantum state smoothing with necessary and sufficient criteria for linear Gaussian quantum systems

Kiarn T. Laverick et al.

Summary: Quantum state smoothing is a technique for estimating the quantum state of a partially observed quantum system, requiring the observer to understand unknown measurement records in order to obtain an accurate true state. Making incorrect assumptions may result in suboptimal or unrealizable smoothed states.

QUANTUM STUDIES-MATHEMATICS AND FOUNDATIONS (2021)

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Article Optics

Linear Gaussian quantum state smoothing: Understanding the optimal unravelings for Alice to estimate Bob's state

Kiarn T. Laverick et al.

Summary: Researchers have introduced a linear Gaussian quantum (LGQ) state smoothing technique and studied the impact of Bob's measurement choice on Alice's smoothing effectiveness, proposing a simple hypothesis for estimating Bob's optimal measurement choice.

PHYSICAL REVIEW A (2021)

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Article Optics