Fetching the paper…
Reading the bibliography…
The applications of random quantum circuits range from quantum computing and quantum many-body systems to the physics of black holes.
Unitary designs from statistical mechanics in random quantum circuits
N. Hunter-Jones · 1905
Earlier work this paper cites.
Comparison techniques for random walk on finite groups
P. Diaconis and L. Saloff-Coste · 1993
Earlier work this paper cites.
Approximation by quantum circuits
E. Knill · 1995
Earlier work this paper cites.
The spectral gap for some spin chains with discrete symmetry breaking
B. Nachtergaele · 1996
Earlier work this paper cites.
Path coupling: A technique for proving rapid mixing in Markov chains
R. Bubley and M. Dyer · 1997
Earlier work this paper cites.
Quantum circuits with mixed states
D. Aharonov, A. Kitaev, and N. Nisan · 1998
Earlier work this paper cites.
The invariants of the Clifford groups
G. Nebe, E. M. Rains, and N. J. A Sloane · 2001
Earlier work this paper cites.
Quantum data hiding
D. P DiVincenzo, D. W. Leung, and B. M. Terhal · 2002
Earlier work this paper cites.
Quantum homeopathy works: Efficient unitary designs with a system-size independent number of non-Clifford gates
J. Haferkamp, F. Montealegre-Mora, M. Heinrich, J. Eisert, D. Gross, and I. Roth · 2002
Earlier work this paper cites.
Improved simulation of stabilizer circuits
S. Aaronson and D. Gottesman · 2004
Earlier work this paper cites.
Efficient simulation of random quantum states and operators, 2005
C. Dankert · 2005
Earlier work this paper cites.
Scalable noise estimation with random unitary operators
J. Emerson, R. Alicki, and K. Życzkowski · 2005
Earlier work this paper cites.
How many entries of a typical orthogonal matrix can be approximated by independent normals?
T. Jiang · 2006
Earlier work this paper cites.
Quantum t-designs: t-wise independence in the quantum world
A. Ambainis and J. Emerson · 2007
Earlier work this paper cites.
Evenly distributed unitaries: On the structure of unitary designs
D. Gross, K. Audenaert, and J. Eisert · 2007
Earlier work this paper cites.
Black holes as mirrors: Quantum information in random subsystems
P. Hayden and J. Preskill · 2007
Earlier work this paper cites.
Randomized benchmarking of quantum gates
E. Knill, D. Leibfried, R. Reichle, J. Britton, R. B. Blakestad, J. D. Jost, C. Langer, R. Ozeri, S. Seidelin, and D. J. Wineland · 2008
Earlier work this paper cites.
The mother of all protocols: restructuring quantum information’s family tree
A. Abeyesinghe, I. Devetak, P. Hayden, and A. Winter · 2009
Earlier work this paper cites.
The Detectability Lemma and Quantum Gap Amplification
D. Aharonov, I. Arad, Z. Landau, and U. Vazirani · 2009
Cited alongside, same era.
Exact and approximate unitary 2-designs and their application to fidelity estimation
C. Dankert, R. Cleve, J. Emerson, and E. Livine · 2009
Cited alongside, same era.
Random quantum circuits are approximate 2-designs
A. W. Harrow and R. A. Low · 2009
Cited alongside, same era.
On the convergence to equilibrium of Kac’s random walk on matrices
R. I. Oliveira · 2009
Cited alongside, same era.
Pseudo-randomness and Learning in Quantum Computation
R. A. Low · 2010
Cited alongside, same era.
A spectral gap theorem in su ( d ) (d)
J. Bourgain and A. Gamburd · 2012
Cited alongside, same era.
Multiqubit clifford groups are unitary 3-designs
H. Zhu · 2017
Later among the works it cites.
Second law of quantum complexity
A. R. Brown and L. Susskind · 2018
Later among the works it cites.
A. Harrow and S. Mehraban · 2018
Later among the works it cites.
Efficient quantum pseudorandomness with simple graph states
R. Mezher, J. Ghalbouni, J. Dgheim, and D. Markham · 2018
Later among the works it cites.
Black Holes and Complexity Classes
L. Susskind · 2018
Later among the works it cites.
The theory of quantum information
J. Watrous · 2018
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
E. Magesan, J. M. Gambetta, and J. Emerson · 2012
Cited alongside, same era.
Bounds on the Lambert function and their application to the outage analysis of user cooperation
I. Chatzigeorgiou · 2013
Cited alongside, same era.
Random walks in compact groups
P. P. Varjú · 2013
Cited alongside, same era.
The computational complexity of linear optics
S. Aaronson and A. Arkhipov · 2014
Cited alongside, same era.
Near-linear constructions of exact unitary 2-designs
R. Cleve, D. Leung, L. Liu, and C. Wang · 2015
Cited alongside, same era.
Quantum union bounds for sequential projective measurements
J. Gao · 2015
Cited alongside, same era.
Single T gate in a Clifford circuit drives transition to universal entanglement spectrum statistics
S. Zhou, Z. Yang, A. Hamma, and C. Chamon · 2020
Later among the works it cites.
Models of quantum complexity growth
Fernando GSL Brandão, Wissam Chemissany, Nicholas Hunter-Jones, Richard Kueng, and John Preskill · 2021
Later among the works it cites.
Hadamard-free circuits expose the structure of the Clifford group
S. Bravyi and D. Maslov · 2021
Later among the works it cites.
Schur–Weyl duality for the Clifford group with applications: Property testing, a robust Hudson theorem, and de Finetti representations
D. Gross, S. Nezami, and M. Walter · 2021
Later among the works it cites.
Linear growth of quantum circuit complexity
J. Haferkamp, P. Faist, N. B. T. Kothakonda, J. Eisert, and N. Yunger Halpern · 2021
Later among the works it cites.
Improved spectral gaps for random quantum circuits: large local dimensions and all-to-all interactions
J. Haferkamp and N. Hunter-Jones · 2021
Later among the works it cites.
Quantum chaos is quantum
L. Leone, S. F. E. Oliviero, Y. Zhou, and A. Hamma · 2021
Later among the works it cites.
Rank-deficient representations in the theta correspondence over finite fields arise from quantum codes
F. Montealegre-Mora and D. Gross · 2021
Later among the works it cites.
Transitions in entanglement complexity in random quantum circuits by measurements
S. F. E. Oliviero, L. Leone, and A. Hamma · 2021
Later among the works it cites.
Epsilon-nets, unitary designs and random quantum circuits
M. Oszmaniec, A. Sawicki, and M. Horodecki · 2021
Later among the works it cites.
Duality theory for Clifford tensor powers
F. Montealegre-Mora and D. Gross · 2022
Closest in time.