Polarized ensembles of random pure states

Abstract

A new family of polarized ensembles of random pure states is presented. These ensembles are obtained by linear superposition of two random pure states with suitable distributions, and are quite manageable. We will use the obtained results for two purposes: on the one hand we will be able to derive an efficient strategy for sampling states from isopurity manifolds. On the other, we will characterize the deviation of a pure quantum state from separability under the influence of noise.

14 pages, 1 figure

References in corpus (13)

• Aspects of generic entanglement
• Randomizing quantum states: Constructions and applications
• Generating random density matrices
• Entangling power of the quantum baker's map
• Separability and ground state factorization in quantum spin systems
• Ground state factorization and correlations with broken symmetry
• Probability density function characterization of multipartite entanglement
• Exact Minimum Eigenvalue Distribution of an Entangled Random Pure State
• Entanglement in random pure states: Spectral density and average von Neumann entropy
• Concentration of measure for quantum states with a fixed expectation value
• Distribution of G-concurrence of random pure states
• Invariant measures on multimode quantum Gaussian states
• Typical Entanglement

Cited by in corpus (7)

• Random pure states: quantifying bipartite entanglement beyond the linear statistics
• Random Sampling of Quantum States: A Survey of Methods
• Spectral density of mixtures of random density matrices for qubits
• Phase diagram of bipartite entanglement
• Volume of the set of LOCC-convertible quantum states
• Interference in a two-mode Bose system with $N$ particles is typical
• Typical observables in a two-mode Bose system