Fetching the paper…
Reading the bibliography…
Given a universal gate set on two qubits, it is well known that applying random gates from the set to random pairs of qubits will eventually yield an approximately Haar-distributed unitary.
Uniform distribution of points on a sphere and some ergodic properties of solutions of linear ordinary differential equations in a complex domain
V. I. Arnold and A. L. Krylov · 1962
Earlier work this paper cites.
Probability: An Introduction
G. Grimmett and D. Welsh · 1986
Earlier work this paper cites.
Completely bounded maps and dilations
V. I. Paulsen · 1987
Earlier work this paper cites.
Comparison Theorems for Reversible Markov Chains
P. Diaconis and L. Saloff-Coste · 1993
Earlier work this paper cites.
Logarithmic Sobolev inequalities for finite Markov chains
P. Diaconis and L. Saloff-Coste · 1996
Earlier work this paper cites.
Stabilization of quantum computations by symmetrization
A. Barenco, A. Berthiaume, D. Deutsch, A. Ekert, R. Jozsa, and C. Macchiavello · 1997
Earlier work this paper cites.
Representations and Invariants of the Classical Groups
R. Goodman and N. Wallach · 1998
Earlier work this paper cites.
Private Quantum Channels
A. Ambainis, M. Mosca, A. Tapp, and R. de Wolf · 2000
Earlier work this paper cites.
Information-disturbance tradeoff in quantum measurement on the uniform ensemble and on the mutually unbiased bases, 2002
H. Barnum · 2002
Earlier work this paper cites.
Quantum data hiding
D. DiVincenzo, D. Leung, and B. Terhal · 2002
Earlier work this paper cites.
Classical and Quantum Computation
A. Yu. Kitaev, A. H. Shen, and M. N. Vyalyi · 2002
Cited alongside, same era.
Small Pseudo-Random Families of Matrices: Derandomizing Approximate Quantum Encryption
A. Ambainis and A. Smith · 2004
Cited alongside, same era.
Simple Permutations Mix Even Better, 2004
S. Hoory and A. Brodsky · 2004
Cited alongside, same era.
Convergence conditions for random quantum circuits
J. Emerson, E. Livine, and S. Lloyd · 2005
Cited alongside, same era.
Random measurement bases, quantum state distinction and applications to the hidden subgroup problem
P. Sen · 2005
Cited alongside, same era.
Notes on super-operator norms induced by Schatten norms
J. Watrous · 2005
Cited alongside, same era.
Mathematical aspects of mixing times in Markov chains
R. Montenegro and P. Tetali · 2006
Later among the works it cites.
Quantum t-designs: t-wise independence in the quantum world
A. Ambainis and J. Emerson · 2007
Later among the works it cites.
The emergence of typical entanglement in two-party random processes
O. C. O. Dahlsten, R. Oliveira, and M. B. Plenio · 2007
Later among the works it cites.
Evenly distributed unitaries: On the structure of unitary designs
D. Gross, K. Audenaert, and J. Eisert · 2007
Later among the works it cites.
A decoupling approach to the quantum capacity, February 2007
P. Hayden, M. Horodecki, J. Yard, and A. Winter · 2007
Later among the works it cites.
Black holes as mirrors: quantum information in random subsystems
P. Hayden and J. Preskill · 2007
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
The mother of all protocols: Restructuring quantum information’s family tree, 2006
A. Abeyesinghe, I. Devetak, P. Hayden, and A. Winter · 2006
Cited alongside, same era.
Exact and Approximate Unitary 2-Designs: Constructions and Applications, 2006
C. Dankert, R. Cleve, J. Emerson, and E. Livine · 2006
Cited alongside, same era.
Multiplicativity of completely bounded p-norms implies a new additivity result
I. Devetak, M. Junge, C. King, and M.B. Ruskai · 2006
Cited alongside, same era.
Reexamination of optimal quantum state estimation of pure states
A. Hayashi, T. Hashimoto, and M. Horibe · 2006
Cited alongside, same era.
Later among the works it cites.
Efficient Generation of Generic Entanglement
R. Oliveira, O. C. O. Dahlsten, and M. B. Plenio · 2007
Later among the works it cites.
Optimal two-qubit gate for generation of random bipartite entanglement
M. Znidaric · 2007
Later among the works it cites.
Superpolynomial speedups based on almost any quantum circuit, 2008
S. Hallgren and A. W. Harrow · 2008
Closest in time.
Quantum Copy-Protection and Quantum Money
S. Aaronson · 2009
Closest in time.