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Mutually unbiased bases
Known as:
MUB
In quantum information theory, mutually unbiased bases in Hilbert space Cd are two orthonormal bases and such that the square of the magnitude of the…
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Related topics
Related topics
18 relations
Entropy (information theory)
Hilbert space
Integer factorization
Measurement in quantum mechanics
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Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2018
Highly Cited
2018
Self-testing mutually unbiased bases in the prepare-and-measure scenario
M. Farkas
,
J. Kaniewski
Physical Review A
2018
Corpus ID: 59035966
We show that $2^d\to1$ quantum random access codes are optimised uniquely by measurements corresponding to mutually unbiased…
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2015
2015
Quantifying high dimensional entanglement with two mutually unbiased bases
P. Erker
,
Mario Krenn
,
M. Huber
2015
Corpus ID: 118430831
We derive a framework for quantifying entanglement in multipartite and high dimensional systems using only correlations in two…
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Highly Cited
2014
Highly Cited
2014
Mutually unbiased measurements in finite dimensions
A. Kalev
,
G. Gour
2014
Corpus ID: 37528116
We generalize the concept of mutually unbiased bases (MUB) to measurements which are not necessarily described by rank one…
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2013
2013
Orbits of mutually unbiased bases
Kate Blanchfield
2013
Corpus ID: 118340150
We express Alltop’s construction of mutually unbiased bases as orbits under the Weyl–Heisenberg group in prime dimensions and…
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Highly Cited
2011
Highly Cited
2011
Entanglement in mutually unbiased bases
Marcin Wieśniak
,
Marcin Wieśniak
,
T. Paterek
,
Anton Zeilinger
,
Anton Zeilinger
2011
Corpus ID: 54091235
One of the essential features of quantum mechanics is that most pairs of observables cannot be measured simultaneously. This…
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Review
2010
Review
2010
ON MUTUALLY UNBIASED BASES
T. Durt
,
B. Englert
,
I. Bengtsson
,
K. Życzkowski
2010
Corpus ID: 118551747
Mutually unbiased bases for quantum degrees of freedom are central to all theoretical investigations and practical exploitations…
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Highly Cited
2008
Highly Cited
2008
Entropic uncertainty relation for mutually unbiased bases
Shengjun Wu
,
Sixia Yu
,
K. Mølmer
2008
Corpus ID: 119222014
We derive new inequalities for the probabilities of projective measurements in mutually unbiased bases of a qudit system. These…
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2008
2008
Mutually unbiased bases for continuous variables
S. Weigert
,
M. Wilkinson
2008
Corpus ID: 67784632
The concept of mutually unbiased bases is studied for N pairs of continuous variables. To find mutually unbiased bases reduces…
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Highly Cited
2007
Highly Cited
2007
Geometrical approach to mutually unbiased bases
A. Klimov
,
J. L. Romero
,
G. Björk
,
L. Sánchez‐Soto
2007
Corpus ID: 119262758
We propose a unifying phase-space approach to the construction of mutually unbiased bases for a two-qubit system. It is based on…
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2006
2006
The Mutually Unbiased Bases Revisited
M. Combescure
,
P. Dirac
2006
Corpus ID: 16790475
The study of Mutually Unbiased Bases continues to be developed vigorously, and presents several challenges in the Quantum…
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