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We study purity decay -- a measure of bipartite entanglement -- in a chain of $n$ qubits under the action of various geometries of nearest-neighbor random two-site unitary gates.
E. Schrödinger, Discussion of probability relations between separated systems
1935
Earlier work this paper cites.
A. Einstein, B. Podolsky, and N. Rosen, Can quantum-mechanical description of physical reality be considered complete?
1935
Earlier work this paper cites.
G. Fairweather, On the eigenvalues and eigenvectors of a class of Hessenberg matrices
1971
Earlier work this paper cites.
P. W. Anderson, More is different: Broken symmetry and the nature of the hierarchical structure of science
1972
Earlier work this paper cites.
E. Lubkin, Entropy of an n n -system from its correlation with a k k -reservoir
1978
Earlier work this paper cites.
R. P. Feynman, Simulating physics with computers
1982
Earlier work this paper cites.
D. N. Page, Average entropy of a subsystem
1993
Earlier work this paper cites.
S. K. Foong, S. Kanno, Proof of Page’s conjecture on the average entropy of a subsystem
1994
Earlier work this paper cites.
K. Zyczkowski and M. Kus, Random unitary matrices
1994
Earlier work this paper cites.
C. H. Bennett, Quantum information
1998
Earlier work this paper cites.
The limit was obtained by fitting either 1 + 1 / x 1+1/x , 1 + 1 / x 2 1+1/x^{2} or 1 + 1 / x 2 + 1 / x 3 1+1/x^{2}+1/x^{3} to the largest left eigenvector norm obtained for n ∈ { 100,200,500 , 1000 , 2000 , 5000 , 7500 } n\in\{100,200,500,1000,2000,5000,7500\} . We always obtained a value close to 1 1 , i.e. 1 ± 10 − 4 1\pm 10^{-4} , however we do not expect the eigenvectors to be orthogonal between each other, because the Frobenius norm of the matrix of left eigenvectors converges to ≈ 1.5 \approx 1.5 in the TDL. We also computed the limit of the largest norm for p = n / 4 p=n/4 and found similar results. For fixed p = 20 p=20 the largest norm converged to ≈ 1.0376 \approx 1.0376 , for p = n / 2 − 50 p=n/2-50 to ≈ 1.0135 \approx 1.0135 . We expect all other p p to behave similarly and the largest norms not to diverge in the TDL
2000
Earlier work this paper cites.
F. Haake, Quantum signatures of chaos
2001
Earlier work this paper cites.
N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Quantum cryptography
2002
Earlier work this paper cites.
J. Emerson, Y. S. Weinstein, M. Saraceno, S. Lloyd, and D. G. Cory, Pseudo-random unitary operators for quantum information processing
2003
Earlier work this paper cites.
L. N. Trefethen and M. Embree, Spectra and pseudospectra
2005
Earlier work this paper cites.
D. Gross, K. Audenaert, and J. Eisert, Evenly distributed unitaries: on the structure of unitary designs
2007
Earlier work this paper cites.
R. Oliveira, O. C. O. Dahlsten, and M. B. Plenio, Generic entanglement can be generated efficiently
2007
Earlier work this paper cites.
M. Žnidarič, Exact convergence times for generation of random bipartite entanglement
2008
Earlier work this paper cites.
R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki, Quantum entanglement
2009
Earlier work this paper cites.
A. W. Harrow and R. Low, Random quantum circuits are approximate 2-designs
2009
Cited alongside, same era.
A. Hamma, S. Santra, and P. Zanardi, Quantum entanglement in random physical states
2012
Cited alongside, same era.
F. G. S. L. Brandao, A. W. Harrow, and M. Horodecki, Local random quantum circuits are approximate polynomial designs
2016
Cited alongside, same era.
F. G. S. L. Brandao, A. W. Harrow, and M. Horodecki, Efficient quantum pseudorandomness
2016
Cited alongside, same era.
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2017
Cited alongside, same era.
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Later among the works it cites.
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X. Mi et al., Information scrambling in quantum circuits
2021
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T. Haga, M. Nakagawa, R. Hamazaki, and M. Ueda, Liouvillian skin effect: slowing down of relaxation processes without gap closing
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2018
Cited alongside, same era.
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2018
Cited alongside, same era.
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2018
Cited alongside, same era.
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Cited alongside, same era.
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Cited alongside, same era.
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