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Geometry of quantum states: an introduction to quantum entanglement by Ingemar Bengtsson and Karol Zyczkowski
TLDR
The goal of this book is to clarify the role of quantum entanglement in the study of convexity, colours and statistics and to show how this role has changed in the history of science.
Geometry of Quantum States
a ) p. 131 The discussion between eqs. (5.14) and (5.15) is incorrect (dA should be made as large as possible!). b ) p. 256 In the figure, the numbers 6) and 7) occur twice. c ) p. 292 At the end of
ON MUTUALLY UNBIASED BASES
Mutually unbiased bases for quantum degrees of freedom are central to all theoretical investigations and practical exploitations of complementary properties. Much is known about mutually unbiased
Black Holes and Wormholes in 2+1 Dimensions
Vacuum Einstein theory in three spacetime dimensions is locally trivial, but admits many solutions that are globally different, particularly if there is a negative cosmological constant. The
Geometry of Quantum States: Index
a ) p. 131 The discussion between eqs. (5.14) and (5.15) is incorrect (dA should be made as large as possible!). b ) p. 256 In the figure, the numbers 6) and 7) occur twice. c ) p. 292 At the end of
A spinning anti-de Sitter wormhole
We construct a (2 + 1)-dimensional spacetime of constant curvature whose spatial topology is that of a torus with one asymptotic region attached. It is also a black hole whose event horizon spins
Mutually unbiased bases and Hadamard matrices of order six
We report on a search for mutually unbiased bases (MUBs) in six dimensions. We find only triplets of MUBs, and thus do not come close to the theoretical upper bound 7. However, we point out that the
Linear dependencies in Weyl–Heisenberg orbits
TLDR
It is proved that linear dependencies will always emerge in Weyl–Heisenberg orbits when the fiducial vector lies in a certain subspace of an order 3 unitary matrix, and this work aligns with recent studies on representations of the Clifford group.
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