Reconstruction of quantum states of spin systems via the Jaynes principle of maximum entropy

Abstract

We apply the Jaynes principle of maximum entropy for the partial reconstruction of correlated spin states. We determine the minimum set of observables which are necessary for the complete reconstruction of the most correlated states of systems composed of spins-1/2 (e.g., the Bell and the Greenberger-Horne-Zeilinger states). We investigate to what extent an incomplete measurement can reveal nonclassical features of correlated spin states.

14 pages + 3 tables, LaTeX with revtex, to appear in J. Mod. Opt

References in corpus (1)

• Quantum Physics and Computers

Cited by in corpus (15)

• Tomographic measurements on superconducting qubit states
• Maximal entropy approach for quantum state tomography
• Incomplete quantum process tomography and principle of maximal entropy
• Optimization approach to entanglement distillation
• Convergence of reconstructed density matrix to a pure state using maximal entropy approach
• Variational Approach to Quantum State Tomography based on Maximal Entropy Formalism
• Observables suitable for restricting the fidelity to multipartite maximally entangled states
• Evidence procedure for efficient quantum state tomography
• Inferring the Gibbs state of a small quantum system
• Numerical Bayesian state assignment for a three-level quantum system. I. Absolute-frequency data; constant and Gaussian-like priors
• Exact and approximate solutions for the quantum minimum-Kullback-entropy estimation problem
• On the "Fake" Inferred Entanglement Associated with the Maximum Entropy Inference of Quantum States
• Scale decoherence in inhomogeneous potentials
• Coarse-grained dynamics in quantum many-body systems using the maximum entropy principle
• Appearance of Gibbs states in quantum-state tomography