Volume-law entanglement entropy of typical pure quantum states

E Bianchi, L Hackl, M Kieburg, M Rigol, L Vidmar - PRX Quantum, 2022 - APS
The entanglement entropy of subsystems of typical eigenstates of quantum many-body
Hamiltonians has recently been conjectured to be a diagnostic of quantum chaos and …

Exact relaxation in a class of nonequilibrium quantum lattice systems

M Cramer, CM Dawson, J Eisert, TJ Osborne - Physical Review Letters, 2008 - APS
A reasonable physical intuition in the study of interacting quantum systems says that,
independent of the initial state, the system will tend to equilibrate. In this work we introduce …

Long-time behavior of macroscopic quantum systems: Commentary accompanying the English translation of John von Neumann's 1929 article on the quantum …

S Goldstein, JL Lebowitz, R Tumulka… - The European Physical …, 2010 - Springer
The renewed interest in the foundations of quantum statistical mechanics in recent years has
led us to study John von Neumann's 1929 article on the quantum ergodic theorem. We have …

Entanglement typicality

OCO Dahlsten, C Lupo, S Mancini… - Journal of Physics A …, 2014 - iopscience.iop.org
We provide a summary of both seminal and recent results on typical entanglement.
By'typical'values of entanglement, we refer here to values of entanglement quantifiers that …

Page curves and typical entanglement in linear optics

JT Iosue, A Ehrenberg, D Hangleiter, A Deshpande… - Quantum, 2023 - quantum-journal.org
Bosonic Gaussian states are a special class of quantum states in an infinite dimensional
Hilbert space that are relevant to universal continuous-variable quantum computation as …

Probing local relaxation of cold atoms in optical superlattices

A Flesch, M Cramer, IP McCulloch, U Schollwöck… - Physical Review A …, 2008 - APS
In the study of relaxation processes in coherent nonequilibrium dynamics of quenched
quantum systems, ultracold atoms in optical superlattices with periodicity 2 provide a very …

Composite parameterization and Haar measure for all unitary and special unitary groups

C Spengler, M Huber, BC Hiesmayr - Journal of mathematical physics, 2012 - pubs.aip.org
We adopt the concept of the composite parameterization of the unitary group| $\mathcal
{U}(d) $| U (d) to the special unitary group| $\mathcal {SU}(d) $| SU (d)⁠. Furthermore, we …

The emergence of typical entanglement in two-party random processes

OCO Dahlsten, R Oliveira… - Journal of Physics A …, 2007 - iopscience.iop.org
We investigate the entanglement within a system undergoing a random, local process. We
find that there is initially a phase of very fast generation and spread of entanglement. At the …

Gaussian Entanglement Measure: Applications to Multipartite Entanglement of Graph States and Bosonic Field Theory

M Gori, M Sarkis, A Tkatchenko - arxiv preprint arxiv:2401.17938, 2024 - arxiv.org
Computationally feasible multipartite entanglement measures are needed to advance our
understanding of complex quantum systems. An entanglement measure based on the Fubini …

Unifying typical entanglement and coin tossing: on randomization in probabilistic theories

MP Müller, OCO Dahlsten, V Vedral - Communications in Mathematical …, 2012 - Springer
It is well-known that pure quantum states are typically almost maximally entangled, and thus
have close to maximally mixed subsystems. We consider whether this is true for probabilistic …