419 research outputs found
Qubits from extra dimensions
We link the recently discovered black hole-qubit correspondence to the
structure of extra dimensions. In particular we show that for toroidal
compactifications of type IIB string theory simple qubit systems arise
naturally from the geometrical data of the tori parametrized by the moduli. We
also generalize the recently suggested idea of the attractor mechanism as a
distillation procedure of GHZ-like entangled states on the event horizon, to
moduli stabilization for flux attractors in F-theory compactifications on
elliptically fibered Calabi-Yau four-folds. Finally using a simple example we
show that the natural arena for qubits to show up is an embedded one within the
realm of fermionic entanglement of quantum systems with indistinguishable
constituents.Comment: 32 pages Late
A three-qubit interpretation of BPS and non-BPS STU black holes
Following the recent trend we develop further the black hole analogy between
quantum information theory and the theory of extremal stringy black hole
solutions. We show that the three-qubit interpretation of supersymmetric black
hole solutions in the STU model can be extended also to include
non-supersymmetric ones. First we show that the black hole potential can be
expressed as one half the norm of a suitably chosen three-qubit entangled state
containing the quantized charges and the moduli. The extremization of the black
hole potential in terms of this entangled state amounts to either supressing
bit flip errors (BPS-case) or allowing very special types of flips transforming
the states between different classes of non-BPS solutions. We are illustrating
our results for the example of the D2-D6 system. In this case the bit flip
errors are corresponding to sign flip errors of the charges originating from
the number of D2 branes. After moduli stabilization the states depending
entirely on the charges are maximally entangled graph states (of the triangle
graph) well-known from quantum information theory. An N=8 interpretation of the
STU-model in terms of a mixed state with fermionic purifications is also given.Comment: 35 page
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