Quantum Ising Hamiltonian Programming in Trio, Quartet, and Sextet Qubit Systems

Abstract

Rydberg-atom quantum simulators are of keen interest because of their possibilities towards high-dimensional qubit architectures. Here we report three-dimensional conformation spectra of quantum-Ising Hamiltonian systems with programmed qubit connections. With a Rydberg-atom quantum simulator, various connected graphs, in which vertices and edges represent atoms and blockaded couplings, respectively, are constructed in two or three-dimensional space and their eigenenergies are probed during their topological transformations. Star, complete, cyclic, and diamond graphs, and their geometric intermediates, are tested for four atoms and antiprism structures for six atoms. Spectroscopic resolution (∆E/E) less than 10% is achieved and the observed energy level shifts and merges through structural transformations are in good agreement with the model few-body quantum-Ising Hamiltonian.

Machine learning identification of symmetrized base states of Rydberg atoms

“…N Ryd : Number of atoms in the Rydberg excited state. Considering the Rydberg-atom blockade regime [12], we use various connected graphs consisting of vertices and edges that represent atoms and blockaded couplings [13] respectively, as illustrated in Fig. 1 (a)-(c).…”

“…The second term U (r jk ) ≡ C 6 /| r jk | 6 corresponds to the van der Waals interaction between two Rydberg atoms, where r jk ≡ r j − r k . nj = |1 j 1| j is the excitation number [12,13]. In the graphs representing atomic arrangements, we set the length of the edges to be d = 8 µm, which is within the range of the Rydberg-blockade radius d < r b ≡ |C 6 / Ω| 1/6 .…”

Prospects for Simulating a Qudit Based Model of (1+1)d Scalar QED

“…While simulations of Quantum Chromodynamics are still many years off, digital quantum simulations of 1 + 1 and 2 + 1 dimensional field theories are already in progress [32][33][34][35][36][37][38][39][40][41][42][43]. Simulations of the Transverse Ising model (TIM) [36,[44][45][46][47][48][49][50][51][52][53][54][55][56] and some simpler gauge theories such as the Schwinger model have been a major focus of qubit based computers [15,24,33,38,57]. Compact scalar Quantum Electrodynamics (sQED) in (1 + 1)d has implementations proposed for optical lattices [8,9].…”

Deterministic Fast Scrambling with Neutral Atom Arrays

“…In this Letter, we propose experimental tools for achieving fast scrambling in near-term experiments with one-dimensional (1D) arrays of optically trapped neutral atoms [14][15][16][17][18][19][20][21][22][23][24][25]. By rapidly shuffling atoms using optical tweezers it is possible to implement a broad family of nonlocal, sparsely coupled quantum circuits that realize fast scrambling quantum channels [2][3][4].…”