We study the bipartite von Neumann entanglement entropy and matrix elements of local operators in eigenstates an interacting integrable Hamiltonian (the paradigmatic spin-1/2 XXZ chain), we contrast their behavior with that quantum chaotic systems. find leading term average (over all zero magnetization sector) eigenstate has a volume-law coefficient is smaller than universal (maximal entanglement) one This establishes as powerful measure to distinguish models from generic ones. Remarkably,...

Eigenstate thermalization is widely accepted as the mechanism behind in generic isolated quantum systems. Using example of a single magnetic defect embedded integrable spin-1/2 $XXZ$ chain, we show that locally perturbing an system can give rise to eigenstate thermalization. Unique such setups fact thermodynamic and transport properties unperturbed chain emerge eigenstates perturbed (nonintegrable) one. Specifically, diagonal matrix elements observables follow microcanonical predictions for...

We show that the onset of quantum chaos at infinite temperature in two many-body one-dimensional lattice models, perturbed spin-1/2 XXZ and Anderson is characterized by universal behavior. Specifically, we marked maxima typical fidelity susceptibilities scale with square inverse average level spacing, saturating their upper bound, strength integrability- or localization-breaking perturbation these decreases increasing system size. also spectral function below ``Thouless'' energy (in...

We study the off-diagonal matrix elements of observables that break translational symmetry a spin-chain Hamiltonian, and as such connect energy eigenstates from different total quasimomentum sectors. consider quantum-chaotic interacting integrable points focus on average energies at center spectrum. In model, we find there is eigenstate thermalization; specifically, are Gaussian distributed with variance smooth function...

We report a resource estimation pipeline that explicitly compiles quantum circuits expressed using the Clifford+T gate set into surface code lattice surgery instruction set. The cadence of magic state requests from compiled circuit enables optimization distillation and storage requirements in post-hoc analysis. To compile logical operations, we build upon open-source Lattice Surgery Compiler. revised compiler operates two stages: first translates gates an abstract, layout-independent set;...

In this position paper, we posit that a major Department of Energy (DOE)-funded open-source quantum compilation platform is needed to facilitate: (a) resource optimization at the fault-tolerant layer computing software stack, and (b) co-design stack with other layers, needs be extensible include verification.

We present a framework to statistically audit the privacy guarantee conferred by differentially private machine learner in practice. While previous works have taken steps toward evaluating loss through poisoning attacks or membership inference, they been tailored specific models demonstrated low statistical power. Our work develops general methodology empirically evaluate of learning implementations, combining improved search and verification methods with toolkit influence-based attacks....

We introduce the Trapped-Ion Surface Code Compiler (TISCC), a software tool that generates circuits for universal set of surface code patch operations in terms native trapped-ion gate set. To accomplish this, TISCC manages an internal representation system where repeating pattern trapping zones and junctions is arranged arbitrarily large rectangular grid. are compiled by instantiating patches on grid using methods to generate transversal over data qubits, rounds error correction stabilizer...

A dicobalt tetrakis(Schiff base) macrocycle has recently been reported to electrochemically catalyze the reduction of H+ H2 in an acetonitrile solution. Density functional theory (DFT) calculations using ωB97X-D are shown produce structural and thermodynamic results good agreement with experimental data. mechanistic model based on thermodynamics is developed that incorporates electrochemical magnetic details complex, accounting for electron-spin reorganization metal center after redox steps....

Differential privacy (DP) is the prevailing technique for protecting user data in machine learning models. However, deficits to this framework include a lack of clarity selecting budget ε and quantification leakage particular row by trained model. We make progress toward these limitations new perspective which visualize DP results studying metric that quantifies extent model on dataset using mechanism ''covered'' each distributions resulting from training neighboring datasets. connect...

Summary We previously interrogated the relationship between SARS-CoV-2 genetic mutations and associated patient outcomes using publicly available data downloaded from GISAID in October 2020 [1]. Using high-level included some submissions, we were able to aggregate status values differentiate severe mild COVID-19 outcomes. In our previous publication, utilized a logistic regression model with an L1 penalty (Lasso regularization) found several statistically significant associations severity....

Differential privacy (DP) is the prevailing technique for protecting user data in machine learning models. However, deficits to this framework include a lack of clarity selecting budget $\epsilon$ and quantification leakage particular row by trained model. We make progress toward these limitations new perspective which visualize DP results studying metric that quantifies extent model on dataset using mechanism ``covered" each distributions resulting from training neighboring datasets....

We report a resource estimation pipeline that explicitly compiles quantum circuits expressed using the Clifford+T gate set into surface code lattice surgery instruction set. The cadence of magic state requests from compiled circuit enables optimization distillation and storage requirements in post-hoc analysis. To compile logical operations, we build upon open-source Lattice Surgery Compiler. revised compiler operates two stages: first translates gates an abstract, layout-independent set;...