A formally certified end-to-end implementation of Shor's factorization algorithm.

Quantum computing technology may soon deliver revolutionary improvements in algorithmic performance, but it is useful only if computed answers are correct. While hardware-level decoherence errors have garnered significant attention, a less recognized obstacle to correctness is that of human programming errors-"bugs." Techniques familiar to most programmers from the classical domain for avoiding, discovering, and diagnosing bugs do not easily transfer, at scale, to the quantum domain because of its unique characteristics.

Dermal Autoaugmentation Mastopexy: Maintaining Maximal Volume in Primary Breast Lift Surgery and Combined with Explantation.

Summary: Mastopexy is performed to lift, reshape, and restore tone to the ptotic breast. Dermal autoaugmentation mastopexy maintains the maximal existing tissue volume because an average of only 11.3 g is removed per side.

Dosimetry of a novel converging X-ray source for kilovoltage radiotherapy.

Purpose: The objective of this work was to evaluate phantom dosimetry of a novel kilovoltage (kV) X-ray source, which employs a stationary tungsten anode and a linearly swept scanning electron beam. The source utilizes converging X-ray collimation along with orthogonal mechanical rotation to distribute surface flux over large area. In this study, this was investigated as a potential solution to fast-falloff limitations expected with kV radiotherapy.

Communications between the superficial and deep fibular nerves in the foot: An anatomical and electrophysiological study.

Introduction: The deep fibular sensory nerve can be recorded to evaluate for peripheral nerve injury; however, it can be challenging in some individuals. Anatomic variation could account for some of this difficulty. Cadaver dissection and electrophysiological testing were used to characterize deep and superficial fibular sensory nerve supply to the foot.

Efficacy, Safety, and Subject Satisfaction After AbobotulinumtoxinA Treatment for Moderate to Severe Glabellar Lines.

Background: The aesthetic use of botulinum toxins is widely accepted in routine treatment of glabellar lines.

Objective: To strengthen existing efficacy and safety data, and examine subject satisfaction concerning abobotulinumtoxinA (ABO) treatment for moderate to severe glabellar lines.

Materials And Methods: A 150-day prospective, single-dose, multicenter, randomized, parallel-group, placebo-controlled, double-blind study of 300 subjects treated with ABO (50 Units [U]).