• Corpus ID: 119351315

Accurate quantum state estimation via "Keeping the experimentalist honest"

  title={Accurate quantum state estimation via "Keeping the experimentalist honest"},
  author={Robin Blume-Kohout and Patrick M. Hayden},
  journal={arXiv: Quantum Physics},
In this article, we derive a unique procedure for quantum state estimation from a simple, self-evident principle: an experimentalist's estimate of the quantum state generated by an apparatus should be constrained by honesty. A skeptical observer should subject the estimate to a test that guarantees that a self-interested experimentalist will report the true state as accurately as possible. We also find a non-asymptotic, operational interpretation of the quantum relative entropy function. 
Near-optimal quantum tomography: estimators and bounds
Borders on the average fidelity achievable by any quantum state estimator are given, and it is shown that the Bayesian mean estimator is ideal in the sense of performing close to the bound without requiring optimization.
Numerical Estimation Schemes for Quantum Tomography
This is a PhD dissertation on the latest numerical quantum estimation schemes as of 2012, submitted to the National University of Singapore. The main content of the thesis focuses on accessing
Statistical Methods for Quantum State Tomography
In quantum state tomography we want to be able to construct an estimate ρ̂ after performing repeated measurements on some unknown ρ. The most widely used method right now to contruct ρ̂ is maximum
Maximum likelihood quantum state tomography is inadmissible
Maximum likelihood estimation (MLE) is the most common approach to quantum state tomography. In this letter, we investigate whether it is also optimal in any sense. We show that MLE is an
Choice of measurement sets in qubit tomography
Optimal generalized measurements for state estimation are well understood. However, practical quantum state tomography is typically performed using a fixed set of projective measurements, and the
A gambling interpretation of some quantum information-theoretic quantities
It is shown that the difference in their doubling rates is the quantum discord and a quantum extension of Kelly's gambling setup in the classical case gives a doubling rate that is upper bounded by the Holevo information.
Characterization, Verification and Control for Large Quantum Systems
A novel genetic algorithm for quantum control design, MOQCA, is introduced that utilizes quantum coprocessors to design robust control sequences, and extensions to existing OCT algorithms that allow for including models of classical electronics as well as quantum dynamics, enabling higher-fidelity control to be designed for cutting-edge experimental devices.
Quantum Cross Entropy and Maximum Likelihood Principle
This work defines its quantum generalization, the quantum cross entropy, and investigates its relations with the quantum fidelity and the maximum likelihood principle.
Tomography for quantum diagnostics
The quantification of relevant statistical errors is an indispensable but often neglected part of any tomographic scheme used for quantum diagnostic purposes. We introduce a novel resolution measure,
Experiments on Multiphoton Entanglement
Entanglement lies at the heart of quantum mechanics and challenged the intuition of physicists ever since it was discovered. At the same time, it is a powerful tool that serves as a key resource for


Quantum-state estimation
An algorithm for quantum-state estimation based on the maximum-likelihood estimation is proposed. Existing techniques for state reconstruction based on the inversion of measured data are shown to be
The Likelihood Principle: A Review
  • Generalizations, and Statistical Implications (with discussion)., IMS Lecture Notes-Monograph Series
  • 1988
however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)
Journal Of The American Statistical Association V-28
Matrix Analysis
Annals of Physics 207
  • 140
  • 1991
Journal of Chemical Physics 121
  • 6117
  • 2004
  • Rev. Lett 94, 070402
  • 2005