Realization of the Cirac–Zoller controlled-NOT quantum gate

Schmidt-Kaler, F.; Häffner, Hartmut; Riebe, M.; Gulde, S.; Lancaster, G. P. T.; Deuschle, T.; Becher, Christoph; Roos, C. F.; Eschner, J.; Blatt, R.

doi:10.1038/nature01494

Cited by 849 publications

(736 citation statements)

References 24 publications

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“…Coulomb forces between ions couple strongly the motional degrees of freedom. This can be utilized to entangle any two of a linear string of ions, as was first elucidated in the work of Cirac and Zoller [12] and demonstrated experimentally in Boulder [13] and Innsbruck [14]. The lack of a strong Coulomb interaction in neutral atoms is advantageous as regards decoherence, since coupling to stray fields is weaker for atoms than for ions.…”

Section: Introductionmentioning

confidence: 99%

Analysis of a quantum logic device based on dipole-dipole interactions of optically trapped Rydberg atoms

2005

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We present a detailed analysis and design of a neutral atom quantum logic device based on atoms in optical traps interacting via dipole-dipole coupling of Rydberg states. The dominant physical mechanisms leading to decoherence and loss of fidelity are enumerated. Our results support the feasibility of performing single and two-qubit gates at MHz rates with decoherence probability and fidelity errors at the level of 10 −3 for each operation. Current limitations and possible approaches to further improvement of the device are discussed.

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Section: Introductionmentioning

confidence: 99%

Analysis of a quantum logic device based on dipole-dipole interactions of optically trapped Rydberg atoms

2005

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“…Starting with two-qubit gate operations [2,3], long lived two-qubit entanglement [4,5,6], teleportation experiments [7,8], and different sorts of multi-qubit entangled states [9,10,4,11], the record for qubit-entanglement is currently presented in a 6-qubit cat state and a 8-qubit W-state [12,13]. Future improvement is expected using the technique of segmented linear Paul traps which allow to shuttle ions from a "processor" unit to a "memory" section [14].…”

Section: Introductionmentioning

confidence: 99%

Optimization of segmented linear Paul traps and transport of stored particles

Schulz

Poschinger

Singer³

et al. 2006

Fortschritte der Physik

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Single ions held in linear Paul traps are promising candidates for a future quantum computer. Here, we discuss a two-layer microstructured segmented linear ion trap. The radial and axial potentials are obtained from numeric field simulations and the geometry of the trap is optimized. As the trap electrodes are segmented in the axial direction, the trap allows the transport of ions between different spatial regions. Starting with realistic numerically obtained axial potentials, we optimize the transport of an ion such that the motional degrees of freedom are not excited, even though the transport speed far exceeds the adiabatic regime. In our optimization we achieve a transport within roughly two oscillation periods in the axial trap potential compared to typical adiabatic transports that take of the order 10 2 oscillations. Furthermore heating due to quantum mechanical effects is estimated and suppression strategies are proposed.

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“…Instead, we map the molecule's internal state information to an engineered motional 2-level quantum system (motional qubit) that is coupled by the ODF. This approach allows us to suppress the background force from 25 Mg + and enables advanced coherent population transfer schemes, such as composite pulses 21 .…”

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confidence: 99%

Non-destructive state detection for quantum logic spectroscopy of molecular ions

Wolf

Wan

Heip

et al. 2016

Nature

177

168

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Precision laser spectroscopy 1 of cold and trapped molecular ions is a powerful tool for fundamental physics, including the determination of fundamental constants 2 , the laboratory test for their possible variation 3,4 , and the search for a possible electric dipole moment of the electron 5 . While the complexity of molecular structure facilitates these applications, the absence of cycling transitions poses a challenge for direct laser cooling 6 , quantum state control [7][8][9][10][11] , and detection. Previously employed state detection techniques based on photodissociation 12 or chemical reactions 13 are destructive and therefore inefficient, restricting the achievable resolution in laser spectroscopy. Here we experimentally demonstrate nondestructive state detection of a single trapped molecular ion through its strong Coulomb coupling to a well-controlled co-trapped atomic ion. An algorithm based on a state-dependent optical dipole force 14 (ODF) changes the internal state of the atom conditioned on the internal state of the molecule. We show that individual quantum states in the molecular ion can be distinguished by their coupling strength to the ODF and observe black-body radiationinduced quantum jumps between rotational states of a single molecular ion. Using the detuning dependence of the state detection signal, we implement a variant of quantum logic spectroscopy 15,16 of a molecular resonance. The state detection technique we demonstrate is applicable to a wide range of molecular ions, enabling further applications in state-controlled quantum chemistry 17 and spectroscopic investigations of molecules serving as probes for interstellar clouds 18,19 .One of the salient features of trapped ion systems is that the universal Coulomb interaction allows strong coupling of diverse quantum objects, such as different species of atomic ions or atomic and molecular ions. Being able to perform quantum logic operations e.g. in the form of gates 14,20,21 between the quantum objects has proven a powerful tool for quantum information processing and quantum simulations in such systems. It also allows combining the advantages of different atomic species. Quantum logic spectroscopy is one such application in which the high degree of control achieved over selected atomic ions is extended to species over which such control is lacking 15,16 . Here, we demonstrate for the first time quantum logic operations between a single molecular ion and a co-trapped atomic ion, making a wide range of molecular ions accessible to this highlydeveloped toolbox. The presented technique allows the investigation of single molecules in a well isolated system avoiding disturbance from the environment, which is the limiting factor in other implementations of single molecule spectroscopy such as surface enhanced Raman spectroscopy (SERS) 22 Quantum logic operations between atoms are based on state dependent forces often induced by laser fields. The same approach is applicable to molecular ions. The coupling is now distributed over many ro-vibrat...

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Realization of the Cirac–Zoller controlled-NOT quantum gate

Cited by 849 publications

References 24 publications

Analysis of a quantum logic device based on dipole-dipole interactions of optically trapped Rydberg atoms

Analysis of a quantum logic device based on dipole-dipole interactions of optically trapped Rydberg atoms

Optimization of segmented linear Paul traps and transport of stored particles

Non-destructive state detection for quantum logic spectroscopy of molecular ions

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