# Optimal Quantum Tomography

@article{Bisio2009OptimalQT, title={Optimal Quantum Tomography}, author={Alessandro Bisio and Giulio Chiribella and Giacomo Mauro D’Ariano and Stefano Facchini and Paolo Perinotti}, journal={IEEE Journal of Selected Topics in Quantum Electronics}, year={2009}, volume={15}, pages={1646-1660} }

The present short review article illustrates the latest theoretical developments on quantum tomography, regarding general optimization methods for both data processing and setup. The basic theoretical tool is the informationally complete measurement. The optimization theory for the setup is based on the new theoretical approach of quantum combs.

#### 23 Citations

Real-time quantum state estimation in circuit QED via the Bayesian approach

- Physics
- 2018

Using a circuit QED device, we present a theoretical study of real-time quantum state estimation via quantum Bayesian approach. Suitable conditions under which the Bayesian approach can accurately… Expand

Quantum tomography for collider physics: illustrations with lepton-pair production

- Physics
- 2017

Quantum tomography is a method to experimentally extract all that is observable about a quantum mechanical system. We introduce quantum tomography to collider physics with the illustration of the… Expand

2 Problem Definition and Preliminaries 2 . 1 Linear Regression for Quantum State Tomography

- 2019

In this paper, we study extended linear regression approaches for quantum state tomography based on regularization techniques. For unknown quantum states represented by density matrices, performing… Expand

Simulating all quantum measurements using only projective measurements and postselection

- Physics
- Physical Review A
- 2019

We report an alternative scheme for implementing generalized quantum measurements that does not require the usage of auxiliary system. Our method utilizes solely: (a) classical randomness and… Expand

Quantum Tomography by Regularized Linear Regression

- Mathematics, Physics
- 2019

In this paper, we study extended linear regression approaches for quantum state tomography based on regularization techniques. For unknown quantum states represented by density matrices, performing… Expand

Obtaining conclusive information from incomplete experimental quantum tomography

- Physics
- Physical Review A
- 2019

We demonstrate that incomplete quantum tomography can give conclusive information in experimental realizations. We divide the state space into a union of multiple disjoint subsets and determine… Expand

Detection of quantum correlations

- Physics
- 2019

One of the main foci of modern applied quantum information theory is the production of large-scale quantum entanglement involving many particles, to achieve the next-generation quantum technologies.… Expand

Adaptive Procedures for Discriminating Between Arbitrary Tensor-Product Quantum States

- Mathematics, Physics
- 2020 IEEE International Symposium on Information Theory (ISIT)
- 2020

This work generalizes previous work and shows that a locally greedy (LG) scheme using Bayesian updating can optimally distinguish between any two states that can be written as a tensor product of arbitrary pure states, and introduces a modified locally-greedy (MLG) scheme with strictly better performance. Expand

Single-copy entanglement detection

- Computer Science, Physics
- 2017

A method for entanglement detection that requires only single copies of multi-partite quantum states, based on the success probability of a suitably designed experimental run, which is exponentially suppressed in the system size for separable states, making it useful for future applications based on large entangled states. Expand

Minimal scheme for certifying three-outcome qubit measurements in the prepare-and-measure scenario

- Physics
- 2021

The number of outcomes is a defining property of a quantum measurement, in particular, if the measurement cannot be decomposed into simpler measurements with fewer outcomes. Importantly, the number… Expand

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