Local Random Quantum Circuits are Approximate Polynomial-Designs

Computational complexity and black hole horizons

(2016) Leonard Susskind   FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS

Quantum logarithmic Sobolev inequalities and rapid mixing

(2013) Michael J. Kastoryano et al.   JOURNAL OF MATHEMATICAL PHYSICS

Complexity of energy eigenstates as a mechanism for equilibration

(2013) Lluís Masanes et al.   PHYSICAL REVIEW E

Subsystem dynamics under random Hamiltonian evolution

(2012) Vinayak et al.   Journal of Physics A-Mathematical and Theoretical

Probing the relaxation towards equilibrium in an isolated strongly correlated one-dimensional Bose gas

(2012) S. Trotzky et al.   Nature Physics

Thermalization under randomized local Hamiltonians

(2012) M Cramer   NEW JOURNAL OF PHYSICS

Convergence to equilibrium under a random Hamiltonian

(2012) Fernando G. S. L. Brandão et al.   PHYSICAL REVIEW E

Comment on “Random Quantum Circuits are Approximate 2-designs” by A.W. Harrow and R.A. Low (Commun. Math. Phys. 291, 257–302 (2009))

(2011) Igor Tuche Diniz et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

The detectability lemma and its applications to quantum Hamiltonian complexity

(2011) Dorit Aharonov et al.   NEW JOURNAL OF PHYSICS

Topological Order at Nonzero Temperature

(2011) Matthew B. Hastings   PHYSICAL REVIEW LETTERS

Absence of Thermalization in Nonintegrable Systems

(2011) Christian Gogolin et al.   PHYSICAL REVIEW LETTERS

Strong and Weak Thermalization of Infinite Nonintegrable Quantum Systems

(2011) M. C. Bañuls et al.   PHYSICAL REVIEW LETTERS

A quantum central limit theorem for non-equilibrium systems: exact local relaxation of correlated states

(2010) M Cramer et al.   NEW JOURNAL OF PHYSICS

Convergence Rates for Arbitrary Statistical Moments of Random Quantum Circuits

(2010) Winton G. Brown et al.   PHYSICAL REVIEW LETTERS

Derandomized Constructions of k-Wise (Almost) Independent Permutations

(2009) Eyal Kaplan et al.   ALGORITHMICA

On the convergence to equilibrium of Kac’s random walk on matrices

(2009) Roberto Imbuzeiro Oliveira   ANNALS OF APPLIED PROBABILITY

Random Quantum Circuits are Approximate 2-designs

(2009) Aram W. Harrow et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Unitary designs and codes

(2009) Aidan Roy et al.   DESIGNS CODES AND CRYPTOGRAPHY

Nonmalleable encryption of quantum information

(2009) Andris Ambainis et al.   JOURNAL OF MATHEMATICAL PHYSICS

Quantum mechanical evolution towards thermal equilibrium

(2009) Noah Linden et al.   PHYSICAL REVIEW E

Are Random Pure States Useful for Quantum Computation?

(2009) Michael J. Bremner et al.   PHYSICAL REVIEW LETTERS

Most Quantum States Are Too Entangled To Be Useful As Computational Resources

(2009) D. Gross et al.   PHYSICAL REVIEW LETTERS

Large deviation bounds for k-designs

(2009) R. A. Low   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

The mother of all protocols: restructuring quantum information's family tree

(2009) A. Abeyesinghe et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Exact convergence times for generation of random bipartite entanglement

(2008) Marko Žnidarič   PHYSICAL REVIEW A

Efficiency of producing random unitary matrices with quantum circuits

(2008) Ludovic Arnaud et al.   PHYSICAL REVIEW A

Foundation of Statistical Mechanics under Experimentally Realistic Conditions

(2008) Peter Reimann   PHYSICAL REVIEW LETTERS

Non-Abelian anyons and topological quantum computation

(2008) Chetan Nayak et al.   REVIEWS OF MODERN PHYSICS

Fast scramblers

(2008) Yasuhiro Sekino et al.   JOURNAL OF HIGH ENERGY PHYSICS

Simple permutations mix even better

(2007) Alex Brodsky et al.   RANDOM STRUCTURES & ALGORITHMS