# Information criteria for efficient quantum state estimation

@article{Yin2011InformationCF, title={Information criteria for efficient quantum state estimation}, author={J. O. S. Yin and Steven J. van Enk}, journal={Physical Review A}, year={2011}, volume={83}, pages={062110} }

Recently several more efficient versions of quantum state tomography have been proposed, with the purpose of making tomography feasible even for many-qubit states. The number of state parameters to be estimated is reduced by tentatively introducing certain simplifying assumptions on the form of the quantum state, and subsequently using the data to rigorously verify these assumptions. The simplifying assumptions considered so far were (i) the state can be well approximated to be of low rank, or… Expand

#### 23 Citations

Variational quantum process tomography of two-qubit maps

- Physics
- 2013

Full characterization of quantum states and processes is a fundamental requirement for verification and benchmarking of quantum devices. It has been realized in systems with few components, but for… Expand

Behavior of the maximum likelihood in quantum state tomography

- Physics, Mathematics
- 2016

Quantum state tomography on a d-dimensional system demands resources that grow rapidly with d. They may be reduced by using model selection to tailor the number of parameters in the model (i.e., the… Expand

Permutationally invariant state reconstruction

- Computer Science, Physics
- 2012

This work presents an efficient state reconstruction scheme for permutationally invariant quantum state tomography that works for all common state-of-the-art reconstruction principles, including, in particular, maximum likelihood and least squares methods, which are the preferred choices in today's experiments. Expand

A ug 2 01 7 Extracting the physical sector of quantum states

- 2018

The physical nature of any quantum source guarantees the existence of an effective Hilbert space of finite dimension, the physical sector, in which its state is completely characterized with… Expand

Crystallizing highly-likely subspaces that contain an unknown quantum state of light

- Computer Science, Medicine
- Scientific reports
- 2016

This procedure makes use of the celebrated statistical principle of maximum likelihood, along with other validation tools, to grow an appropriate seed subspace into the optimal reconstruction subspace, much like the nucleation of a seed into a crystal. Expand

Quantum tomography via compressed sensing: error bounds, sample complexity and efficient estimators

- Computer Science, Physics
- 2012

A new theoretical analysis of compressed tomography is presented, based on the restricted isometry property for low-rank matrices, and it is shown that unknown low- rank states can be reconstructed from an incomplete set of measurements, using techniques from compressed sensing and matrix completion. Expand

Extracting the physical sector of quantum states

- Physics
- 2017

The physical nature of any quantum source guarantees the existence of an effective Hilbert space of finite dimension, the physical sector, in which its state is completely characterized with… Expand

When quantum tomography goes wrong: drift of quantum sources and other errors

- Physics
- 2013

The principle behind quantum tomography is that a large set of observations—many samples from a 'quorum' of distinct observables—can all be explained satisfactorily as measurements on a single… Expand

Rank-based model selection for multiple ions quantum tomography

- Physics, Mathematics
- 2012

The statistical analysis of measurement data has become a key component of many quantum engineering experiments. As standard full state tomography becomes unfeasible for large dimensional quantum… Expand

Effects of Imperfect Observation on Quantum State Estimation*

- Computer Science
- 2019 12th Asian Control Conference (ASCC)
- 2019

It is shown that the accuracy of the quantum state estimation will be greatly degraded in the presence of imperfect observation, and a cautious estimation method and the adaptive measurement strategy are attempted. Expand

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