Average Entropy of a Subsystem from its Average Tsallis Entropy

Abstract

In the nonextensive Tsallis scenario, Page's conjecture for the average entropy of a subsystem[Phys. Rev. Lett. {\bf 71}, 1291(1993)] as well as its demonstration are generalized, i.e., when a pure quantum system, whose Hilbert space dimension is $mn$, is considered, the average Tsallis entropy of an $m$-dimensional subsystem is obtained. This demonstration is expected to be useful to study systems where the usual entropy does not give satisfactory results.

Revtex, 6 pages, 2 figures. To appear in Phys. Rev. E

References in corpus (2)

• The Role of Relative Entropy in Quantum Information Theory
• Nonextensive Thermostatistics and the H-Theorem

Cited by in corpus (20)

• Statistical properties of random density matrices
• Average coherence and its typicality for random pure states
• Symmetry-resolved Page curves
• Entanglement, quantum randomness, and complexity beyond scrambling
• Distribution of bipartite entanglement for random pure states
• Generalized Entanglement Entropies of Quantum Designs
• A Family of Exact, Analytic Time Dependent Wave Packet Solutions to a Nonlinear Schroedinger Equation
• New features of quantum discord uncovered by q-entropies
• From the hypergeometric differential equation to a non linear Schrödinger one
• On the exact variance of Tsallis entropy in a random pure state
• Entangled random pure states with orthogonal symmetry: exact results
• Second-order statistics of fermionic Gaussian states
• Solutions for a q-generalized Schrödinger equation of entangled interacting particles
• Largest Schmidt eigenvalue of entangled random pure states and conductance distribution in chaotic cavities
• Average skew information-based coherence and its typicality for random quantum states
• Average capacity of quantum entanglement
• Entropic Spatial Auto-correlation of Voter Uncertainty and Voter Transitions in Parliamentary Elections
• Typical Entanglement
• Quantum interpolating ensemble: Biorthogonal polynomials and average entropies
• Entanglement capacity of fermionic Gaussian states