Entanglement and Tunable Spin-Spin Couplings between Trapped Ions Using Multiple Transverse Modes

Kim, K.; Chang, M.-S.; Islam, Rajibul; Korenblit, S. É.; Duan, Liwei; Monroe, Christopher

doi:10.1103/physrevlett.103.120502

Cited by 291 publications

(265 citation statements)

References 28 publications

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“…For instance, when executing state-dependent forces as discussed above, the applied field can be adjusted to simulate variablerange Ising models with interaction strength falling off with a power law 1/r α as the physical distance r increases, where the exponent can be tuned between α = 0 (infinite-range) and α = 3 (dipole-dipole). 15,87,90 In addition, digital quantum simulation techniques, which apply a series of distinct control Hamiltonians in discrete time steps, can be applied to generate arbitrary spin models 91 and to control the underlying graph structure. 89 Ion-trap quantum simulations could assist our understanding of models of exotic materials (such as high-temperature superconductors), or even stimulate the search for new material properties that have not yet been observed.…”

Section: Topology Of Interactionsmentioning

confidence: 99%

Co-designing a scalable quantum computer with trapped atomic ions

2016

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The first generation of quantum computers are on the horizon, fabricated from quantum hardware platforms that may soon be able to tackle certain tasks that cannot be performed or modelled with conventional computers. These quantum devices will not likely be universal or fully programmable, but special-purpose processors whose hardware will be tightly co-designed with particular target applications. Trapped atomic ions are a leading platform for first-generation quantum computers, but they are also fundamentally scalable to more powerful general purpose devices in future generations. This is because trapped ion qubits are atomic clock standards that can be made identical to a part in 10 15 , and their quantum circuit connectivity can be reconfigured through the use of external fields, without modifying the arrangement or architecture of the qubits themselves. In this forwardlooking overview, we show how a modular quantum computer with thousands or more qubits can be engineered from ion crystals, and how the linkage between ion trap qubits might be tailored to a variety of applications and quantum-computing protocols. Quantum information processors have the potential to perform computational tasks that are difficult or impossible using conventional modes of computing. 1-3 In a radical departure from classical information, the qubits of a quantum computer can simultaneously store bit values 0 and 1, and when measured they probabilistically assume definite states. Many interacting qubits, isolated from their environment, can represent huge amounts of information: there are exponentially many binary numbers that can co-exist, with entangled qubit correlations that can behave as invisible wires between the qubits. Even in the face of Moore's Law, or the doubling in conventional computer power every year or two, the complexity of massively entangled quantum states of just a few hundred qubits can easily eclipse the capacity of classical information processing. 4 There are but a few known applications that exploit this quantum advantage, such as Shor's factoring algorithm, 5 and future quantum information processors will likely be applied to special-purpose applications. On the other hand, a quantum computer has not yet been built; therefore, new quantum applications and algorithms will likely follow from the evolution and capability of quantum hardware.In the 20 years since the advent of Shor's algorithm 5 and the discovery of quantum error correction, 6-8 there has been remarkable progress in demonstrations of entangling quantum gates on o10 qubits in certain physical systems. Current efforts aim to scale to hundreds, thousands or even millions of interacting qubits. Unlike the classical scaling of bits and logic gates, however, large quantum systems are not comparable to the behaviour of just a few qubits. Just because 2 or 4 qubits can be completely controlled with negligible errors does not mean that this system can readily scale to 4100 qubits.In the last few years, two particular quantum hardware platforms have e...

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Section: Topology Of Interactionsmentioning

confidence: 99%

Co-designing a scalable quantum computer with trapped atomic ions

2016

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“…The length scale of the range may be tuned between that of the waist w 0 for a single-mode cavity to a small fraction of w 0 for a multimode cavity. This is analogous to the phonon-mediated interaction in ion traps, where large pump detunings from resonances in the phonon spectrum generate shorter-ranged interactions [40][41][42].…”

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confidence: 99%

Tunable-Range, Photon-Mediated Atomic Interactions in Multimode Cavity QED

et al. 2018

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Optical cavity QED provides a platform with which to explore quantum many-body physics in drivendissipative systems. Single-mode cavities provide strong, infinite-range photon-mediated interactions among intracavity atoms. However, these global all-to-all couplings are limiting from the perspective of exploring quantum many-body physics beyond the mean-field approximation. The present work demonstrates that local couplings can be created using multimode cavity QED. This is established through measurements of the threshold of a superradiant, self-organization phase transition versus atomic position. Specifically, we experimentally show that the interference of near-degenerate cavity modes leads to both a strong and tunable-range interaction between Bose-Einstein condensates (BECs) trapped within the cavity. We exploit the symmetry of a confocal cavity to measure the interaction between real BECs and their virtual images without unwanted contributions arising from the merger of real BECs. Atom-atom coupling may be tuned from short range to long range. This capability paves the way toward future explorations of exotic, strongly correlated systems such as quantum liquid crystals and driven-dissipative spin glasses.

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“…Implementations described by D-Wave Systems use non-planar topologies, and recent experiments in [11] demonstrate direct coupling of more than two spins. Hence, we extend the conventional spin glass model to use hyper-couplings that connect a set of at least two spins.…”

Section: Gsd For Hypergraphsmentioning

confidence: 99%

“…Although hyper-couplings have smaller individual weights than two-spin couplings, the number of hyper-couplings scales as O(n 4 ), and their total weight eventually dominates f (x, y) for larger N . Control of three-spin hyper-couplings has recently been demonstrated [11], but only for adjacent particles, which would be insufficient for numberfactoring applications. Furthermore, Equation 5 still requires four-spin hyper-couplings which, as current research suggests, are difficult to realize experimentally.…”

Section: Gsd For Hypergraphsmentioning

confidence: 99%

Spinto: High-performance energy minimization in spin glasses

Garcia¹

2010

2010 Design, Automation &Amp; Test in Europe Conference &Amp; Exhibition (DATE 2010)

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Abstract-With the prospect of atomic-scale computing, we study cumulative energy profiles of spin-spin interactions in nonferromagnetic lattices (Ising spin-glasses)-an established topic in solid-state physics that is now becoming relevant to atomicscale EDA. Recent proposals suggest non-traditional computing devices based on nature's ability to find min-energy states. Spinto utilizes EDA-inspired high-performance algorithms to (i) simulate natural energy minimization in spin systems and (ii) study its potential for solving hard computational problems. Unlike previous work, our algorithms are not limited to planar Ising topologies. In one CPU-day, our branch-and-bound algorithm finds min-energy (ground) states on 100 spins, while our local search approximates ground states on 1, 000, 000 spins. We use this computational tool to study the significance of hyper-couplings in the context of recently implemented adiabatic quantum computers.

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Entanglement and Tunable Spin-Spin Couplings between Trapped Ions Using Multiple Transverse Modes

Cited by 291 publications

References 28 publications

Co-designing a scalable quantum computer with trapped atomic ions

Co-designing a scalable quantum computer with trapped atomic ions

Tunable-Range, Photon-Mediated Atomic Interactions in Multimode Cavity QED

Spinto: High-performance energy minimization in spin glasses

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