Speed of ion-trap quantum-information processors

Steane, Andrew M.; Roos, C. F.; Stevens, D.; Mundt, A.B.; Leibfried, D.; Schmidt‐Kaler, F.; Blatt, R.

doi:10.1103/physreva.62.042305

Cited by 117 publications

(78 citation statements)

References 20 publications

(52 reference statements)

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“…al. [14]. We thus estimate that 30 -50 quantum gate operations will be feasible with the current setup.…”

Section: Speed Limits Of Gate Operationsmentioning

confidence: 90%

“…The proposed methods [1,15] employ the use of laser pulses to entangle the electronic and the vibrational degrees of freedom of trapped ions. A theoretical investigation shows that the proposed methods are limited mainly by the recoil frequency of the relevant electronic transition [14]. We have experimentally studied the basic building block of a gate operation, that is a π-pulse excitation on the first blue sideband.…”

Section: Speed Limits Of Gate Operationsmentioning

confidence: 99%

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Ground state cooling, quantum state engineering and study of decoherence of ions in Paul traps

Schmidt‐Kaler

Roos

Nägerl

et al. 2000

Journal of Modern Optics

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We investigate single ions of 40 Ca + in Paul traps for quantum information processing. Superpositions of the S 1/2 electronic ground state and the metastable D 5/2 state are used to implement a qubit. Laser light on the S 1/2 ↔ D 5/2 transition is used for the manipulation of the ion's quantum state. We apply sideband cooling to the ion and reach the ground state of vibration with up to 99.9% probability. Starting from this Fock state |n = 0 , we demonstrate coherent quantum state manipulation. A large number of Rabi oscillations and a ms-coherence time is observed. Motional heating is measured to be as low as one vibrational quantum in 190 ms. We also report on ground state cooling of two ions. Quantum information processing with trapped ionsTrapped and laser cooled ions in Paul traps are used for an implementation of quantum information processing. Internal electronic states of individual ions serve to hold the quantum information (qubits) and an excitation of common vibrational modes provides the coupling between qubits, which is necessary for quantum logic operations between qubits, more specifically, for the realization of gate operations between two ions. The Cirac-Zoller proposal [1] requires that initially the ions are cooled to the ground state of motion and that the whole system can be coherently manipulated and controlled. The time scale of decoherence and coupling to the environment is required to be much smaller than the time scale of coherent manipulation.

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“…al. [14]. We thus estimate that 30 -50 quantum gate operations will be feasible with the current setup.…”

Section: Speed Limits Of Gate Operationsmentioning

confidence: 90%

Section: Speed Limits Of Gate Operationsmentioning

confidence: 99%

Ground state cooling, quantum state engineering and study of decoherence of ions in Paul traps

Schmidt‐Kaler

Roos

Nägerl

et al. 2000

Journal of Modern Optics

Self Cite

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“…This means that some unwanted off-resonant transitions will be present, which may significantly affect times required for the operations B 1,2 In Ref. [22] it has been shown that the minimal time T B for the realization of the operation B 1 is proportional to the geometric mean of the recoil and trapping frequency, i.e.…”

Section: Discussionmentioning

confidence: 99%

“…Each elementary operation takes a certain time to be implemented on the system of cold trapped ions. Steane et al addressed in detail the speed of ion trap information processors in [22].…”

Section: Discussionmentioning

confidence: 99%

Multiparticle entanglement with quantum logic networks: Application to cold trapped ions

Šašura

Bužek

2001

Phys. Rev. A

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We show how to construct a multi-qubit control gate on a quantum register of an arbitrary size N . This gate performs a single-qubit operation on a specific qubit conditioned by the state of other N − 1 qubits. We provide an algorithm how to build up an array of networks consisting of single-qubit rotations and multi-qubit control-NOT gates for the synthesis of an arbitrary entangled quantum state of N qubits. We illustrate the algorithm on a system of cold trapped ions. This example illuminates the efficiency of the direct implementation of the multi-qubit CNOT gate compared to its decomposition into a network of two-qubit CNOT gates.

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“…Realization of the ions trapped within the vicinity of quantum ground state is the key ingredient in the emerging fields such as efficient quantum computation [1], quantum information processing [2], precision detection of mass [3] and investigations in precision spectral and time and frequency standards [4]. And different kinds of efficient laser cooling schemes for trapped atoms and ions are proposed to realize ground-state cooling.…”

Section: Introductionmentioning

confidence: 99%

Sideband cooling of atoms with the help of an auxiliary transition

Zhen

2012

Phys. Rev. A

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We propose a cooling scheme for the V-type three-level atom tightly confined in a harmonic trap. Two excited levels are coupled to the ground state by a quadrupole transition with small dissipation rate and a dipole transition with large dissipation rate respectively. The quadrupole transition is strongly driven by a runningwave laser 1, which acts as the cooling channel in the Lamb-Dicke regime. The dipole one is weakly driven by another running-wave laser 2 as the auxiliary transition. The ground-state cooling with large rate can be achieved through the appropriate choice of the Rabi frequency of laser 1 and the detuning of the auxiliary transition.

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Speed of ion-trap quantum-information processors

Cited by 117 publications

References 20 publications

Ground state cooling, quantum state engineering and study of decoherence of ions in Paul traps

Ground state cooling, quantum state engineering and study of decoherence of ions in Paul traps

Multiparticle entanglement with quantum logic networks: Application to cold trapped ions

Sideband cooling of atoms with the help of an auxiliary transition

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