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Entanglement of Atoms via Cold Controlled Collisions
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We show that by using cold controlled collisions between two atoms one can achieve conditional dynamics in moving trap potentials. We discuss implementing two qubit quantum gates and efficient creation of highly entangled states of many atoms in optical lattices.
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“Tuning the polarization of the trapping lasers can induce entangling interactions 22,23 between neighboring atoms across the array and create a cluster state across the whole lattice 20,24,25 .”
From Measurement-based quantum computation (2009) · cites this paper as [22]
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“Statedependent entangling operations can be realised in parallel across the lattice, by tuning the trapping fields 22 .”
From Measurement-based quantum computation (2009) · cites this paper as [22]
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“This occurs at λL = λ2 + (λ1 − λ2)/(2λ1/λ2 + 1) ≈ λ2 + (λ1 − λ2)/3, where λ1 (λ2) is the wavelength of the D1 (D2) line [23, 24], which is λL = 866”
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“A possible implementation of such a quantum computer uses neutral atoms stored in periodic micropotentials [8–10] where Ising-type interactions can be realized by controlled collisions between atoms in neighboring potential wells [9,11].”
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Quantum State Control via Trap-Induced Shape Resonance in Ultracold Atomic Collisions
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Self-citationQuantum Simulators, Continuous-Time Automata, and Translationally Invariant Systems
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Self-citationExploring Quantum Matter with Ultracold Atoms in Optical Lattices
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“The two spin states, j ↑i and j ↓i, experience different light shifts induced by the left and right circular components of the laser, which allows spindependent shift operations by controlling the angle θ with an electro-optic modulator (7, 8, 13).”
BackgroundThe Bose-Hubbard model: from Josephson junction arrays to optical lattices
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High-Fidelity and Robust Geometric Quantum Gates that Outperform Dynamical Ones
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“, trapped ions [2], cavity quantum electrodynamics (QED) [3], neutral atoms in optical lattices [4, 5], etc.”
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Cavity QED determination of atomic number statistics in optical lattices
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Suppression of Atomic Radiative Collisions by Tuning the Ground State Scattering Length
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“These small separations are essential for an efficient implementation of controlled collisions of two individual atoms [21, 22, 23, 24] using, e.”
MethodQuantum computation with diatomic bits in optical lattices
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Self-citationAccurate microwave control and real-time diagnostics of neutral-atom qubits
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Ultracold molecules: vehicles to scalable quantum information processing
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“Many recent theoretical proposals present schemes to implement entangling operations with neutral atoms in optical lattices [14]–[16] and several experimental groups have demonstrated key steps towards the goal of quantum information processing [17]–[26].”
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Atoms in a Radio-Frequency-Dressed Optical Lattice
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Luis, A. (2001) · Physical Review A · doi:10.1103/physreva.64.054102 · Cited by 43
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Self-citationRobust site-resolvable quantum gates in an optical lattice via inhomogeneous control
Lee, J. H., Montaño, E., Deutsch, I., & Jessen, P. (2013) · Nature Communications · doi:10.1038/ncomms3027 · Cited by 41
“[4] Jaksch, D.”
MEASUREMENT-BASED QUANTUM COMPUTATION WITH CLUSTER STATES
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“via stateselective displacement of the atoms and cold controlled collisions [30] or via tunneling [31].”
BackgroundQuantum Computing of Quantum Chaos and Imperfection Effects
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Ground-state cooling of atoms in optical lattices
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Self-citationQuantum Computation with Unknown Parameters
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“[3] proposing spin-dependent optical lattices to control individual atoms’ positions, our work realizes the atomsorting scheme proposed by Weiss et al.”
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“95(2)) and B sites (right graph, contrast 0.”
BackgroundMethodInfluentialWigner crystals of ions as quantum hard drives
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Collinear Four-Wave Mixing of Two-Component Matter Waves
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“Several schemes have been proposed to entangle neutral atoms and realise quantum gates [9, 10, 3].”
BackgroundExperimental Demonstration of Decoherence-Free One-Way Information Transfer
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Closing Gaps of a Quantum Advantage with Short-Time Hamiltonian Dynamics
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Spin squeezing in the Ising model
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Quantum register of fermion pairs
Hartke, T. R., Oreg, B., Jia, N., & Zwierlein, M. W. (2022) · Nature · doi:10.1038/s41586-021-04205-8 · Cited by 37
“and the form of Û is (4πħ(2)a3D/m)(δ((3))(r)/2).”
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s -wave quantum entanglement in a harmonic trap
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Fano Blockade by a Bose-Einstein Condensate in an Optical Lattice
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Adiabaticity in nonlinear quantum dynamics: Bose-Einstein condensate in a time-varying box
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Self-citationMagic Polarization for Optical Trapping of Atoms without Stark-Induced Dephasing
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Prospects for fast Rydberg gates on an atom chip
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“A number of schemes to entangle qubits carried by neutral atoms have been proposed [3–11].”
BackgroundSeparability of entangled qutrits in noisy channels
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Decoherence as a probe of coherent quantum dynamics
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Realization of bichromatic optical superlattices
Görlitz, A., Kinoshita, T., Hänsch, T. W., & Hemmerich, A. (2001) · Physical Review A · doi:10.1103/physreva.64.011401 · Cited by 33
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Micro traps for quantum information processing and precision force sensing
Birkl, G., & Fortágh, J. (2006) · Laser & Photonics Review · doi:10.1002/lpor.200610002 · Cited by 33
“Examples include gates based on the phase shift during ultra-cold collisions [30], on tunnelling processes depending on the motional states of atoms [6,11], on dipole-dipole interactions between atoms in high-lying Rydberg states [31], and on the coupling of atoms via the radiation field of optical or microwave resona…”
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“The studies of two-atom systems in small traps attract a great deal of interest, in particular for engineering of quantum states via controlled collisions and creation of quantum gates in quantum information processing with a set of single-atom traps [1, 2].”
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Composite Short-Path Nonadiabatic Holonomic Quantum Gates
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“Manipulating quantum states in a robust way is the necessary condition to realize large-scale quantum computing [1], and has been attracted much attention in various systems, such as cavity quantum electrodynamics (QED) [2], trapped ions [3], neutral atoms in optical lattices [4, 5], etc.”
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Dynamics of localization phenomena for hard-core bosons in optical lattices
Horstmann, B., Cirac, J. I., & Roscilde, T. (2007) · Physical Review A · doi:10.1103/physreva.76.043625 · Cited by 31
Self-citationBrowne, D., & Briegel, H. (2016) · Quantum Information · doi:10.1002/9783527805785.ch21 · Cited by 29
Self-citationBatrouni, G. G., Rousseau, V. G., Scalettar, R. T., & Grémaud, B. (2014) · Physical Review B · doi:10.1103/physrevb.90.205123 · Cited by 30
State-dependent lattices for quantum computing with alkaline-earth-metal atoms
Daley, A. J., Ye, J., & Zoller, P. (2011) · The European Physical Journal D · doi:10.1140/epjd/e2011-20095-2 · Cited by 29
Self-citationQuantum logic via optimal control in holographic dipole traps
Dorner, U., Calarco, T., Zoller, P., Browaeys, A., & Grangier, P. (2005) · Journal of Optics B Quantum and Semiclassical Optics · doi:10.1088/1464-4266/7/10/020 · Cited by 31
Self-citationControl of multiatom entanglement in a cavity
Mandilara, A., Akulin, V. M., Kolář, M., & Kurizki, G. (2007) · Physical Review A · doi:10.1103/physreva.75.022327 · Cited by 29
Noise- and disorder-resilient optical lattices
Pichler, H., Schachenmayer, J., Simon, J., Zoller, P., & Daley, A. J. (2012) · Physical Review A · doi:10.1103/physreva.86.051605 · Cited by 31
“, by tuning the laser in the middle of the fine-structure splitting of an alkali atom [26, 27], or by using anti-magic wavelength lattices for alkaline earth atoms [28–30].”
MethodSelf-citationSpin-dependent collision of ultracold metastable atoms
Uetake, S., Murakami, R., Doyle, J. M., & Takahashi, Y. (2012) · Physical Review A · doi:10.1103/physreva.86.032712 · Cited by 29
Metadata
- Authors
- Jaksch, D., Briegel, H.-J., Cirac, J. I., Gardiner, C. W., & Zoller, P.
- Affiliations
- Universität Innsbruck (AT)
- Victoria University of Wellington (NZ)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1999-03-01
- Volume
- 82
- Issue
- 9
- Pages
- 1975-1978
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2084336605
- Cited by
- 795
- References
- 17
- Citations by year
- 2026: 4 · 2025: 7 · 2024: 4 · 2023: 21 · 2022: 11 · 2021: 12 · 2020: 22 · 2019: 15 · 2018: 14 · 2017: 22 · 2016: 21 · 2015: 21 · 2014: 30 · 2013: 35 · 2012: 21
- FWCI
- 26.03
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Cold Atom Physics and Bose-Einstein Condensates
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Keywords
- atom entanglement, cold atom collisions, conditional dynamics, two-qubit gates, optical lattices
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