154,394 research outputs found
Geometrical Properties of Conformal Field Theories Coupled to Two-Dimensional Quantum Gravity
In this work we discuss an approach due to F. David to the geometry of world
sheets of non-critical strings in quasiclassical approximation. The
gravitational dressed conformal dimension is related to the scaling behavior of
the two-point function with respect to a distance variable. We show how this
approach reproduces the standard gravitational dressing in the next order of
perturbation theory. With the same technique we calculate the intrinsic
Hausdorff dimension of a world sheet.Comment: 10 pages, TeX, no figure
Spin-based quantum computation in multielectron quantum dots
In a quantum computer the hardware and software are intrinsically connected
because the quantum Hamiltonian (or more precisely its time development) is the
code that runs the computer. We demonstrate this subtle and crucial
relationship by considering the example of electron-spin-based solid state
quantum computer in semiconductor quantum dots. We show that multielectron
quantum dots with one valence electron in the outermost shell do not behave
simply as an effective single spin system unless special conditions are
satisfied. Our work compellingly demonstrates that a delicate synergy between
theory and experiment (between software and hardware) is essential for
constructing a quantum computer.Comment: 5 2-column pages in RevTe
Some properties on -evaluation and its applications to -martingale decomposition
In this article, a sublinear expectation induced by -expectation is
introduced, which is called -evaluation for convenience. As an application,
we prove that any with some the
decomposition theorem holds and any integrable symmetric
-martingale can be represented as an It integral w.r.t
-Brownian motion. As a byproduct, we prove a regular property for
-martingale: Any -martingale has a quasi-continuous versionComment: 22 page
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