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 compute boundary correlation functions for scalar fields on tessellations of two- and three-dimensional hyperbolic geometries. present evidence that the continuum relation between bulk mass scaling dimension associated with boundary-to-boundary survives truncation approximating space a lattice.

This paper investigates the transverse Ising model on a discretization of two-dimensional anti--de Sitter space. We use classical and quantum algorithms to simulate real-time evolution measure out-of-time-ordered correlators (OTOC). The latter can probe thermalization scrambling information under time evolution. compared tensor network-based methods both with simulation gate-based superconducting devices analog using Rydberg arrays. While studying this system's properties, we observed...

Motivated by the $\mathrm{AdS}/\mathrm{CFT}$ correspondence, we use Monte Carlo simulation to investigate Ising model formulated on tessellations of two-dimensional hyperbolic disk. We focus in particular behavior boundary-boundary correlators, which exhibit power-law scaling both below and above bulk critical temperature indicating scale invariance boundary theory at any temperature. This conclusion is strengthened a finite-size analysis susceptibility yields exponent consistent with...

We conduct numerical simulations of a model four dimensional quantum gravity in which the path integral over continuum Euclidean metrics is approximated by sum combinatorial triangulations. At fixed volume contains discrete Einstein-Hilbert term with coupling $\kappa$ and local measure $\beta$ that weights triangulations according to number simplices sharing each vertex. map out phase diagram this two parameter space compute variety observables yield information on nature any limit. Our...

A bstract We show how to construct a tensor network representation of the path integral for reduced staggered fermions coupled non-abelian gauge field in two dimensions. The resulting formulation is both memory and computation efficient because can be represented terms minimal number indices while sector approximated using Gaussian quadrature with truncation. Numerical results obtained Grassmann TRG algorithm are shown case SU(2) lattice theory compared Monte Carlo results.

We show how to formulate a lattice gauge theory whose naive continuum limit corresponds two-dimensional (Euclidean) quantum gravity including positive cosmological constant. More precisely the resultant in first-order formalism which local frame and spin connection are treated as independent fields. Recasting this tensor network allows us study at strong coupling without encountering sign problem. In two dimensions is exactly soluble we that system has series of critical points occur for...

We discuss the use of quantum simulation to study an $N$ flavor theory interacting relativistic fermions in(1+1) dimensions on NISQ era machines. The case two flavors is particularly interesting as it can be mapped Hubbard model. derive appropriate qubit Hamiltonians and associated circuits. compare classical DMRG/TEBD calculations with results various platforms for $N$=2 4. demonstrate that four steps real-time scattering actually implemented using current devices.

We consider a Bose-Einstein condensate, which is characterized by long-range and anisotropic dipole-dipole interactions vanishing $s$-wave scattering length, in double-well potential. The properties of this system are investigated as functions the height barrier that splits harmonic trap into two halves, number particles (or strength) aspect ratio $\ensuremath{\lambda}$, defined between axial longitudinal trapping frequencies ${\ensuremath{\omega}}_{z}$...

A bstract We show how to apply renormalization group algorithms incorporating entanglement filtering methods and a loop optimization tensor network which includes Grassmann variables represent fermions in an underlying lattice field theory. As numerical test variety of quantities are calculated for two dimensional Wilson-Majorana the flavor Gross-Neveu model. The improved much better accuracy such as free energy determination Fisher’s zeros.

We study the behavior of two coupled purely dipolar Bose-Einstein condensates (BECs), each located in a cylindrically symmetric pancake-shaped external confining potential, as separation $b$ between traps along tight direction is varied. The solutions Gross-Pitaevskii and Bogoliubov-de Gennes equations, which account for full dynamics, show that system modified by presence second BEC. For sufficiently small $b$, BEC destabilizes dramatically. In this regime, collapses through mode notably...

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...

It is now well established that the stability of aligned dipolar Bose gases can be tuned by varying aspect ratio external harmonic confinement. This paper extends this idea and demonstrates a Gaussian barrier along strong confinement direction employed to tune both structural properties dynamical an oblate gas direction. In particular, our theoretical mean-field analysis predicts existence instability islands immersed in otherwise stable regions phase diagram. Dynamical studies indicate...

In this study, we investigate Trotter evolution in the Gross-Neveu and hyperbolic Ising models two spacetime dimensions, using quantum computers. We identify different sources of errors prevalent various processing units discuss challenges to scale up size computation. present benchmark results obtained on a variety platforms employ range error mitigation techniques address coherent incoherent noise. By comparing these mitigated outcomes with exact diagonalization density matrix...

We study a model comprising $N$ flavors of K\"ahler Dirac fermion propagating on triangulated two dimensional disk which is constrained to have negative average bulk curvature. Dirichlet boundary conditions are chosen for the fermions. Quantum fluctuations geometry included by summing over all possible triangulations consistent with these constraints. show in limit $N\to \infty$ that partition function dominated regular triangulation hyperbolic space. use strong coupling expansions and Monte...

In this study, we investigate Trotter evolution in the Gross-Neveu and hyperbolic Ising models two spacetime dimensions, using quantum computers. We identify different sources of errors prevalent various processing units discuss challenges to scale up size computation. present benchmark results obtained on a variety platforms employ range error mitigation techniques address coherent incoherent noise. By comparing these mitigated outcomes with exact diagonalization density matrix...

We study a model comprising <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>N</a:mi></a:math> flavors of Kähler Dirac fermion propagating on triangulated two-dimensional disk which is constrained to have negative average bulk curvature. Dirichlet boundary conditions are chosen for the fermions. Quantum fluctuations geometry included by summing over all possible triangulations consistent with these constraints. show in limit <c:math...

The von Neumann entanglement entropy provides important information regarding critical points and continuum limits for analog simulators such as arrays of Rydberg atoms. easily accessible mutual associated with the bitstring probabilities complementary subsets $A$ $B$ one-dimensional quantum chains, provide reasonably sharp lower bounds on corresponding bipartite $S^{vN}_A$. Here, we show that these can in most cases be improved by removing bitstrings a probability than some value $p_{min}$...

Understanding the Page curve and resolving black hole information puzzle in terms of entanglement dynamics holes has been a key question fundamental physics. In principle, current quantum computing can provide insights into within some simplified models. this regard, we utilize computers to investigate entropy Hawking radiation using qubit transport model, toy model evaporation. Specifically, implement simulation scrambling an efficient random unitary circuit. Furthermore, employ swap-based...

This paper investigates the transverse Ising model on a discretization of two-dimensional anti-de Sitter space. We use classical and quantum algorithms to simulate real-time evolution measure out-of-time-ordered correlators (OTOC). The latter can probe thermalization scrambling information under time evolution. compared tensor network-based methods both with simulation gated-based superconducting devices analog using Rydberg arrays. While studying this system's properties, we observed...

We present results on the behavior of boundary-boundary correlation function scalar fields propagating discrete two-dimensional random triangulations representing manifolds with topology a disk. use gravitational action that includes curvature squared operator, which favors regular tessellation hyperbolic space for large values its coupling. probe resultant geometry by analyzing propagator massive field and show conformal seen in uniform survives as coupling approaches zero. The analysis...

We review the construction and definition of lattice curvature, present progress on calculations two-point correlation function scalar field theory hyperbolic lattices. find boundary-to-boundary possesses power-law dependence boundary distance in both free, interacting theories two three dimensions. Moreover, follows continuum Klebanov-Witten formula closely.

Tensor renormalization group (TRG) has attractive features like the absence of sign problems and accessibility to thermodynamic limit, many applications lattice field theories have been reported so far. However it is known that TRG a fictitious fixed point called CDL tensor causes less accurate numerical results. There are improved coarse-graining methods attempt remove structure from networks. Such approaches shown be beneficial on two dimensional spin systems. We discuss how adapt removal...

n h number of D-dimensional gons around h. θ D is angle between -1 faces