Shallow Shadows: Expectation Estimation Using Low-Depth Random Clifford Circuits.

We provide practical and powerful schemes for learning properties of a quantum state using a small number of measurements. Specifically, we present a randomized measurement scheme modulated by the depth of a random quantum circuit in one spatial dimension. This scheme interpolates between two known classical shadows schemes based on random Pauli measurements and random Clifford measurements.

One T Gate Makes Distribution Learning Hard.

The task of learning a probability distribution from samples is ubiquitous across the natural sciences. The output distributions of local quantum circuits are of central importance in both quantum advantage proposals and a variety of quantum machine learning algorithms. In this work, we extensively characterize the learnability of output distributions of local quantum circuits.

TIMP-1 as a biomarker in obstructive sleep apnea: screening, monitoring, risk stratification, and a step towards precision medicine.

Objective: The diagnosis of obstructive sleep apnea (OSA) is a complex time- and resource-intensive diagnostic procedure. Since tissue inhibitors of matrix metalloproteinases (TIMP's) are involved in various pathophysiological processes and are correlated with a high cardiovascular risk, TIMP's appear to be a suitable candidate for an OSA-biomarker.

Patients And Methods: In a prospective controlled diagnostic study, TIMP-1 serum levels of 273 OSA-patients and controls were analyzed for correlation with OSA severity, BMI, age, sex, cardio-/ cerebrovascular comorbidities.

Efficient Unitary Designs with a System-Size Independent Number of Non-Clifford Gates.

Many quantum information protocols require the implementation of random unitaries. Because it takes exponential resources to produce Haar-random unitaries drawn from the full -qubit group, one often resorts to -designs. Unitary -designs mimic the Haar-measure up to -th moments.

Closing Gaps of a Quantum Advantage with Short-Time Hamiltonian Dynamics.

Demonstrating a quantum computational speed-up is a crucial milestone for near-term quantum technology. Recently, sampling protocols for quantum simulators have been proposed that have the potential to show such a quantum advantage, based on commonly made assumptions. The key challenge in the theoretical analysis of this scheme-as of other comparable schemes such as boson sampling-is to lessen the assumptions and close the theoretical loopholes, replacing them by rigorous arguments.