We now discuss “tightness” of our protocol with respect to impossibility results. To begin, it is easy to argue that OTMs cannot exist in the plain model (i.e. without additional assumptions) in both the classical and quantum settings: in the classi…

A central tenet of theoretical cryptography is the study of the minimal assumptions required to implement a given cryptographic primitive. One such p…

Recall that in this case g≅gosp(2|4), and a∗Ω is the subspace of h∗ that is given in (39). Let σ:C3→a∗Ω be defined by σ(a,b,c):=μa,b,c, where μa,b,c is defined in (38). We define the map σ∗:P(a∗Ω)→P(C3)≅C[a,b,c] by σ∗(f):=f∘σF.

For a finite dimensional unital complex simple Jordan superalgebra $J$, the Tits-Kantor-Koecher construction yields a 3-graded Lie superalgebra $\mat…

Since its inception almost 50 years ago, quantum cryptography has developed into an active and exciting multidisciplinary area of research that combines state-of-the-art techniques from cryptography, quantum physics, complexity theory, information t…

Quantum cryptography is the art and science of exploiting quantum mechanical effects in order to perform cryptographic tasks. While the most well-kno…

Information delivery using chemical molecules is an integral part of biology at multiple distance scales and has attracted recent interest in bioengi…

We consider the problem of approximating the empirical Shannon entropy of a high-frequency data stream under the relaxed strict-turnstile model, when…

Orbital angular momentum associated with the helical phase-front of optical beams provides an unbounded \qo{space} for both classical and quantum com…

Three-dimensional Ultrasound image segmentation methods are surveyed in this paper. The focus of this report is to investigate applications of these …

This paper studies graphs that have two tree decompositions with the property that every bag from the first decomposition has a bounded-size intersec…

Covering arrays are generalizations of orthogonal arrays that have been widely studied and are used in software testing. The probabilistic method has…

The authors thank Michael Lau for having explained the results of a preprint of [Lau] to them before it was posted, and Oliver Schiffmann and Mark Haiman for helpful discussions concerning the geometry of algebraic varieties. They would also like to…

Suppose a finite group acts on a scheme X and a finite-dimensional Lie algebra g. The corresponding equivariant map algebra is the Lie algebra M of e…

In this work we characterize shift spaces over infinite countable alphabets that can be endowed with an inverse semigroup operation. We give sufficie…

In [22, 23], Lusztig gave a grassmannian type realization of the lagrangian Nakajima quiver varieties inside the projective modules pw. In the case when Q is a quiver of finite type, the injective hulls of the simple objects are also projective cove…

Quivers play an important role in the representation theory of algebras, with a key ingredient being the path algebra and the preprojective algebra. …

Unruh-DeWitt Hamiltonian couples a scalar field with a two-level atom serving as a particle detector model. Two such detectors held by different obse…

Quantum key distribution (QKD) promises information-theoretically secure communication, and is already on the verge of commercialization. Thus far, d…

In this paper, we obtain a property of the expectation of the inverse of compound Wishart matrices which results from their orthogonal invariance. Us…

Consider the following problem: Given a planar graph $G$, what is the maximum number $p$ such that $G$ has a planar straight-line drawing with $p$ co…

We consider relations between the size, treewidth, and local crossing number (maximum number of crossings per edge) of graphs embedded on topological…

Quantum complementarity states that particles, e.g. electrons, can exhibit wave-like properties such as diffraction and interference upon propagation…

The propagation of an electron beam in the presence of transverse magnetic fields possessing integer topological charges is presented. The spin--magn…

Electromagnetic plane waves, solutions to Maxwell's equations, are said to be `transverse' in vacuum. Namely, the waves' oscillatory electric and mag…

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