The emergence of typical entanglement in two-party random processes

  title={The emergence of typical entanglement in two-party random processes},
  author={Oscar C. O. Dahlsten and R. Oliveira and Martin Bodo Plenio},
  journal={Journal of Physics A: Mathematical and Theoretical},
  pages={8081 - 8108}
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 end of this phase the entanglement is typically maximal. In Oliveira et al (2007 Phys. Rev. Lett. 98 130502) we proved that the maximal entanglement is reached to a fixed arbitrary accuracy within O(N3) steps, where N is the total number of qubits. Here we provide a detailed and more pedagogical proof. We… 
Fastest Local Entanglement Scrambler, Multistage Thermalization, and a Non-Hermitian Phantom
We study random quantum circuits and their rate of producing bipartite entanglement, specifically with respect to the choice of 2-qubit gates and the order (protocol) in which these are applied. The
Quantum Entanglement Growth Under Random Unitary Dynamics
Characterizing how entanglement grows with time in a many-body system, for example after a quantum quench, is a key problem in non-equilibrium quantum physics. We study this problem for the case of
A random unitary circuit model for black hole evaporation
Inspired by the Hayden-Preskill protocol for black hole evaporation, we consider the dynamics of a quantum many-body qudit system coupled to an external environment, where the time evolution is
Exact convergence times for generation of random bipartite entanglement
We calculate exact convergence times to reach random bipartite entanglement for various random protocols. The eigenproblem of a Markovian chain governing the process is mapped to a spin chain,
Inhibition of spread of typical bipartite and genuine multiparty entanglement in response to disorder
The distribution of entanglement of typical multiparty quantum states is not uniform over the range of the measure utilized for quantifying the entanglement. We intend to find the response to
Quantum chaos in the Brownian SYK model with large finite N : OTOCs and tripartite information
Abstract We consider the Brownian SYK model of N interacting Majorana fermions, with random couplings that are taken to vary independently at each time. We study the out-of-time-ordered
Generic Entanglement Entropy for Quantum States with Symmetry
This paper extends the well-known concentration formula to the one applicable to any subspace and shows that bipartite entanglement entropy of a quantum state that is drawn uniformly at random from an invariant subspace of a given symmetry is found.
Efficient Quantum Pseudorandomness.
This work shows that random quantum unitary time evolutions ("circuits") are a powerful source of quantum pseudorandomness, and gives for the first time a polynomial-time construction of quantum unitARY designs, which can replace fully random operations in most applications.
Canonical and micro-canonical typical entanglement of continuous variable systems
We present a framework, compliant with the general canonical principle of statistical mechanics, to define measures on the set of pure Gaussian states of continuous variable systems. Within such a
Random Quantum Circuits
Quantum circuits — built from local unitary gates and local measurements — are a new playground for quantum many-body physics and a tractable setting to explore universal collective phenomena


Aspects of Generic Entanglement
We study entanglement and other correlation properties of random states in high-dimensional bipartite systems. These correlations are quantified by parameters that are subject to the ``concentration
Optimal Superdense Coding of Entangled States
A one-shot method for preparing pure entangled states between a sender and a receiver at a minimal cost of entanglement and quantum communication and a direct proof of the achievability of the optimal superdense coding protocol for entangled states produced by a memoryless source.
Entanglement-area law for general bosonic harmonic lattice systems (14 pages)
We demonstrate that the entropy of entanglement and the distillable entanglement of regions with respect to the rest of a general harmonic-lattice system in the ground or a thermal state scale at
We study the dynamics of entanglement in spin gases. A spin gas consists of a (large) number of interacting particles whose random motion is described classically while their internal degrees of
Reversibility of Local Transformations of Multiparticle Entanglement
It is shown that, for any reversible transformation, the relative entropy of entanglement for any two parties must remain constant, and there is true three-party non-locality (i.e. not all three party entangled states is equivalent to two-party entangling).
Canonical and micro-canonical typical entanglement of continuous variable systems
We present a framework, compliant with the general canonical principle of statistical mechanics, to define measures on the set of pure Gaussian states of continuous variable systems. Within such a
Typical entanglement of stabilizer states
How entangled is a randomly chosen bipartite stabilizer state? We show that if the number of qubits each party holds is large, the state will be close to maximally entangled with probability
Teleportation Fidelities of Squeezed States from Thermodynamical State Space Measures
We introduce a ''microcanonical'' measure (complying with the ''general canonical principle'') over the second moments of pure bosonic Gaussian states under an energy constraint. We determine the
Quantum, classical, and total amount of correlations in a quantum state (11 pages)
We give an operational definition of the quantum, classical, and total amounts of correlations in a bipartite quantum state. We argue that these quantities can be defined via the amount of work
Entanglement and the foundations of statistical mechanics
Statistical mechanics is one of the most successful areas of physics. Yet, almost 150 years since its inception, its foundations and basic postulates are still the subject of debate. Here we suggest