We study the Sachdev-Ye-Kitaev (SYK) model---an important toy model for quantum gravity on IBM's superconducting qubit computers. By using a graph-coloring algorithm to minimize number of commuting clusters terms in qubitized Hamiltonian, we find gate complexity time evolution first-order product formula $N$ Majorana fermions is $\mathcal{O}({N}^{5}{J}^{2}{t}^{2}/\ensuremath{\epsilon})$ where $J$ dimensionful coupling parameter, $t$ time, and $\ensuremath{\epsilon}$ desired precision. With...

We investigate saturation effects in ep scattering as well ultraperipheral pA and AA collisions at small x with four variants of the impact parameter dependent color dipole model: without gluon a novel mechanism that suppresses unphysical radii above confinement scale, problem not addressed by most implementations. show HERA can be very described any variants. When going from to eA scattering, are expected increase ∼A1/3. In lieu an electron-ion collider, we confront different versions model...

Abstract We describe 5D dynamical cosmological solutions of the stabilized holographic dilaton and their role in completion conformal phase transition. This analysis corresponds, via AdS/CFT dictionary, to a study out-of-equilibrium dynamics where trajectories do not depend solely on thermodynamic quantities early universe, but have sensitivity also initial conditions. Unlike well-studied thermal transition, which requires quantum tunneling an infrared brane through surface AdS-Schwarzschild...

Certain aspects of some unitary quantum systems are well described by evolution via a non-Hermitian effective Hamiltonian, as in the Wigner-Weisskopf theory for spontaneous decay. Conversely, any Hamiltonian can be accommodated corresponding system $+$ environment model generalization theory. This demonstrates physical relevance novel features such exceptional points dynamics, and opens up avenues studying many-body complex plane coupling constants. In case lattice field theory, sparsity...

The statistical behaviour of the smallest eigenvalue has important implications for systems which can be modeled using a Wishart-Laguerre ensemble, regular one or fixed trace one. For example, density ensemble plays crucial role in characterizing multiple channel telecommunication systems. Similarly, quantum entanglement problem, carries information regarding nature entanglement. real matrices, there exists an elegant recurrence scheme suggested by Edelman to directly obtain exact expression...

We study the SYK model -- an important toy for quantum gravity on IBM's superconducting qubit computers. By using a graph-coloring algorithm to minimize number of commuting clusters terms in qubitized Hamiltonian, we find gate complexity time evolution first-order product formula $N$ Majorana fermions is $\mathcal{O}(N^5 J^{2}t^2/\epsilon)$ where $J$ dimensionful coupling parameter, $t$ time, and $\epsilon$ desired precision. With this improved resource requirement, perform $N=6, 8$ with...

We study the preparation of thermal states dense and sparse Sachdev-Ye-Kitaev (SYK) model using a variational quantum algorithm for $6 \le N 12$ Majorana fermions over wide range temperatures. Utilizing IBM's 127-qubit processor, we perform benchmark computations SYK with $N = 6$, showing good agreement exact results. The non-local random Hamiltonian all-to-all coupling simulator hardware represents significant step toward future out-of-time order correlators in many-body systems.

The interplay between cosmology and strongly coupled dynamics can yield transient spectral features that vanish at late times, but which may leave behind phenomenological signatures in the spectrum of primordial fluctuations. Of particular interest are extensions standard model featuring approximate conformal invariance. In flat space, density for a scalar operator field theory is characterized by continuum with scaling law governed dimension operator, otherwise featureless. AdS/CFT...

We describe cosmological solutions of the holographic dilaton with aim exploring alternatives to commonly studied thermal Randall-Sundrum phase transition. It is well known that transition typically strongly first order, requirement a perturbative 5D gravity theory obstructing completion This corresponds nucleation an infrared brane through surface AdS-Schwarzschild horizon. The approach we study instead invokes early epoch in which cosmology fully 5-dimensional, highly relativistic motion,...

The 1+1D Ising model is an ideal benchmark for quantum algorithms, as it very well understood theoretically. This true even when expanding the to include complex coupling constants. In this work, we implement algorithms designed simulation of open or field theories on IBM devices with a focus measurement Lee-Yang edge singularity. feature corresponds (at large volumes) phase transition, and our successful reproduction transition represents non-trivial test current hardware its ability...