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The goal of randomness extraction is to distill (almost) perfect randomness from a weak source of randomness.
Detection theory and quantum mechanics
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The transition probability in the state space of a *-algebra
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Geometrical description of quantal state determination
ID Ivonovic · 1981
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Founding cryptography on oblivious transfer
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Generalised entropic uncertainty relations
H. Maassen and J. Uffink · 1988
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Pseudo-random generation from one-way functions
R. Impagliazzo, L.A. Levin, and M. Luby · 1989
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Optimal state-determination by mutually unbiased measurements
W.K. Wootters and B.D. Fields · 1989
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An inequality for the sum of entropies of unbiased quantum measurements
I. D. Ivanovic · 1992
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Conditionally-perfect secrecy and a provably-secure randomized cipher
U. Maurer · 1992
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Entropic uncertainty and certainty relations for complementary observables
J. Sanchez · 1993
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Improved bounds in the entropic uncertainty and certainty relations for complementary observables
J. Sanchez-Ruiz · 1995
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Matrix Analysis
R. Bhatia · 1997
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Unconditional security against memory-bounded adversaries
C. Cachin and U. M. Maurer · 1997
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Insecurity of quantum secure computations
H-K. Lo · 1997
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Is quantum bit commitment really possible?
H-K. Lo and H. F. Chau · 1997
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Unconditionally secure quantum bit commitment is impossible
D. Mayers · 1997
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Making an empty promise with a quantum computer
H.F. Chau and H-K. Lo · 1998
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On quantum fidelities and channel capacities
H. Barnum, E. Knill, and M. A. Nielsen · 2000
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Quantum computation and quantum information
M. A. Nielsen and I. L. Chuang · 2000
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Bounds for dispersers, extractors, and depth-two superconcentrators
J. Radhakrishnan and A. Ta-Shma · 2000
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Entropy waves, the zig-zag graph product, and new constant-degree expanders and extractors
O. Reingold, S. Vadhan, and A. Wigderson · 2000
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Extracting quantum entanglement
A. Ambainis, A. Smith, and K. Yang · 2002
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A new proof for the existence of mutually unbiased bases
S. Bandyopadhyay, P. O. Boykin, V. P. Roychowdhury, and F. Vatan · 2002
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Recent developments in explicit constructions of extractors
R. Shaltiel · 2002
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Strong converse for identificcation via quantum channels
R. Ahlswede and A. Winter · 2003
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Continuity of quantum conditional information
R. Alicki and M. Fannes · 2004
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Distilling common randomness from bipartite quantum states
I. Devetak and A. Winter · 2004
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On generating the initial key in the bounded-storage model
S. Dziembowski and U. Maurer · 2004
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Tema con variazioni: Quantum channel capacity
D. Kretschmann and R. Werner · 2004
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Uncertainty, monogamy, and locking of quantum correlations
M. Christandl and A. Winter · 2005
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Cryptography in the Bounded-Quantum-Storage Model
I. B. Damgård, S. Fehr, L. Salvail, and C. Schaffner · 2005
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Distance measures to compare real and ideal quantum processes
A. Gilchrist, N. K. Langford, and M. A. Nielsen · 2005
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Partial quantum information
M. Horodecki, J. Oppenheim, and A. Winter · 2005
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Mutually unbiased bases are complex projective 2-designs
A. Klappenecker and M. Rotteler · 2005
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On the power of quantum memory
R. König, U. Maurer, and R. Renner · 2005
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Universally composable privacy amplification against quantum adversaries
R. Renner and R. König · 2005
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Security of quantum bit string commitment depends on the information measure
H. Buhrman, M. Christandl, P. Hayden, H.-K. Lo, and S. Wehner · 2006
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Quantum and relativistic protocols for secure multi-party computation
R. Colbeck · 2006
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Conjectured strong complementary information tradeoff
J. M. Renes and J.-C. Boileau · 2009
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Short seed extractors against quantum storage
A. Ta-Shma · 2009
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A fully quantum asymptotic equipartition property
M. Tomamichel, R. Colbeck, and R. Renner · 2009
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Quantum expanders: Motivation and construction
Avraham Ben-Aroya, Oded Schwartz, and Amnon Ta-Shma · 2010
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The uncertainty principle in the presence of quantum memory
M. Berta, M. Christandl, R. Colbeck, J. M. Renes, and R. Renner · 2010
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Quantum state merging and negative information
M. Horodecki, J. Oppenheim, and A. Winter · 2006
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Entropic uncertainty relations and locking: tight bounds for mutually unbiased bases
M. A. Ballester and S. Wehner · 2007
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A tight high-order entropic quantum uncertainty relation with applications
I. B. Damgård, S. Fehr, R. Renner, L. Salvail, and C. Schaffner · 2007
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Quantum bit commitment revisited: the possible and the impossible
G. D’Ariano, D. Kretschmann, D. Schlingemann, and R.F. Werner · 2007
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Exponential separations for one-way quantum communication complexity, with applications to cryptography
D. Gavinsky, J. Kempe, I. Kerenidis, R. Raz, and R. de Wolf · 2007
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Evenly distributed unitaries: On the structure of unitary designs
D. Gross, K. Audenaert, and J. Eisert · 2007
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F. Dupuis, M. Berta, J. Wullschleger, and R. Renner · 2010
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The uncertainty principle determines the non-locality of quantum mechanics
J. Oppenheim and S. Wehner · 2010
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Random numbers certified by Bell’s theorem
S. Pironio, A. Acin, S. Massar, A.B. de la Giroday, D.N. Matsukevich, P. Maunz, S. Olmschenk, D. Hayes, and L. Luo · 2010
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Duality between smooth min- and max-entropies
M. Tomamichel, R. Colbeck, and R. Renner · 2010
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Leftover hashing against quantum side information
M. Tomamichel, C. Schaffner, A. Smith, and R. Renner · 2010
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Implementation of two-party protocols in the noisy-storage model
S. Wehner, M. Curty, C. Schaffner, and H.-K. Lo · 2010
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Entropic uncertainty relations - a survey
S. Wehner and A. Winter · 2010
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Quantum information: Coping with uncertainty
A. Winter · 2010
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Randomness vs non locality and entanglement
A. Acin, S. Massar, and S. Pironio · 2011
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Entanglement cost of quantum channels
M. Berta, F. Brandao, M. Christandl, and S. Wehner · 2011
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The quantum reverse Shannon theorem based on one-shot information theory
M. Berta, M. Christandl, and R. Renner · 2011
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The smooth entropy formalism on von Neumann algebras
M. Berta, F. Furrer, and V. B. Scholz · 2011
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Private randomness expansion with untrusted devices
R. Colbeck and A. Kent · 2011
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Information theoretic treatment of tripartite systems and quantumchannels
P. J. Coles, L. Yu, V. Gheorghiu, and R. B. Griffiths · 2011
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Relative entropy derivation of the uncertainty principle with quantum side information
P. J. Coles, L. Yu, and M. Zwolak · 2011
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O. Fawzi, P. Hayden, and P. Sen · 2011
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Security and Composability of Randomness Expansion from Bell Inequalities
S. Fehr, R. Gelles, and C. Schaffner · 2011
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The link between uncertainty relations and non-locality
E. Hänggi and M. Tomamichel · 2011
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Achieving the physical limits of the bounded-storage model
P. Mandayam and S. Wehner · 2011
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Y. Ouyang · 2011
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Device-independent randomness expansion secure against quantum adversaries
S. Pironio and S. Massar · 2011
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Decoupling theorems
O. Szehr · 2011
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Decoupling with unitary almost two-designs
O. Szehr, F. Dupuis, M. Tomamichel, and R. Renner · 2011
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The uncertainty relation for smooth entropies
M. Tomamichel and R. Renner · 2011
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Certifiable Quantum Dice -Or, testable exponential randomness expansion
U.V. Vazirani and T. Vidick · 2011
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Uncertainty relations from simple entropic properties
P. J. Coles, R. Colbeck, L. Yu, and M. Zwolak · 2012
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