Experimental realization of classical 
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 spin liquids in a programmable quantum device

Zhou, Shiyu; Green, Dmitry; Dahl, Edward D.; Chamon, Claudio

doi:10.1103/physrevb.104.l081107

Cited by 18 publications

(12 citation statements)

References 24 publications

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“…However, some of the key properties, such as topological robustness, are challenging to realize in such systems. Spin liquids have also been explored by using quantum annealers, but the lack of coherence in these systems has precluded the observation of quantum features ( 26 ).…”

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confidence: 99%

Probing topological spin liquids on a programmable quantum simulator

Semeghini

Levine

Keesling

et al. 2021

Science

468

272

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Synthesizing topological order Topologically ordered matter exhibits long-range quantum entanglement. However, measuring this entanglement in real materials is extremely tricky. Now, two groups take a different approach and turn to synthetic systems to engineer the topological order of the so-called toric code type (see the Perspective by Bartlett). Satzinger et al . used a quantum processor to study the ground state and excitations of the toric code. Semeghini et al . detected signatures of a toric code–type quantum spin liquid in a two-dimensional array of Rydberg atoms held in optical tweezers. —JS

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confidence: 99%

Probing topological spin liquids on a programmable quantum simulator

Semeghini

Levine

Keesling

et al. 2021

Science

468

272

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“…1d. The coupling coefficients J ij can be programmed into a variety of 2D and 3D geometries, among others 12,31,[35][36][37][38] (the QA processor also provides programmable biases, which we set to zero in this study).…”

Section: Quantum Annealing and Schr öDinger Dynamicsmentioning

confidence: 99%

Quantum critical dynamics in a 5000-qubit programmable spin glass

King¹,

Raymond²,

Lanting³

et al. 2022

Preprint

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Experiments on disordered alloys [1][2][3] suggest that spin glasses can be brought into low-energy states faster by annealing quantum fluctuations than by conventional thermal annealing. Due to the importance of spin glasses as a paradigmatic computational testbed, reproducing this phenomenon in a programmable system has remained a central challenge in quantum optimization [4][5][6][7][8][9][10][11][12][13] . Here we achieve this goal by realizing quantum critical spin-glass dynamics on thousands of qubits with a superconducting quantum annealer. We first demonstrate quantitative agreement between quantum annealing and time-evolution of the Schrödinger equation in small spin glasses. We then measure dynamics in 3D spin glasses on thousands of qubits, where simulation of many-body quantum dynamics is intractable. We extract critical exponents that clearly distinguish quantum annealing from the slower stochastic dynamics of analogous Monte Carlo algorithms. A generalized Kibble-Zurek formalism for dynamics in the critical region provides a theoretical basis for the observed speedup.

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“…Systems with frustration caused by the lattice geometry or long-range interactions have been identified as promising avenues in the search for quantum spin liquids [10][11][12][13][14][15][16]. Spin liquid behavior in frustrated quantum systems has been explored with a variety of computational platforms, namely annealers [17], superconducting quantum circuits [18,19], and atom arrays [20].…”

Section: Introductionmentioning

confidence: 99%

Quantum Circuits for the Preparation of Spin Eigenfunctions on Quantum Computers

et al. 2022

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The application of quantum algorithms to the study of many-particle quantum systems requires the ability to prepare wave functions that are relevant in the behavior of the system under study. Hamiltonian symmetries are important instruments used to classify relevant many-particle wave functions and to improve the efficiency of numerical simulations. In this work, quantum circuits for the exact and approximate preparation of total spin eigenfunctions on quantum computers are presented. Two different strategies are discussed and compared: exact recursive construction of total spin eigenfunctions based on the addition theorem of angular momentum, and heuristic approximation of total spin eigenfunctions based on the variational optimization of a suitable cost function. The construction of these quantum circuits is illustrated in detail, and the preparation of total spin eigenfunctions is demonstrated on IBM quantum devices, focusing on three- and five-spin systems on graphs with triangle connectivity.

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Experimental realization of classical Z2 spin liquids in a programmable quantum device

Cited by 18 publications

References 24 publications

Probing topological spin liquids on a programmable quantum simulator

Probing topological spin liquids on a programmable quantum simulator

Quantum critical dynamics in a 5000-qubit programmable spin glass

Quantum Circuits for the Preparation of Spin Eigenfunctions on Quantum Computers

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