High-Efficiency Detection of a Single Quantum of Angular Momentum by Suppression of Optical Pumping

McDonnell, Michael A.; Stacey, J.-P.; Webster, S. C.; Home, Jonathan; Ramos, A.; Lucas, David M.; Stacey, D. N.; Steane, Andrew M.

doi:10.1103/physrevlett.93.153601

Cited by 25 publications

(24 citation statements)

References 7 publications

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“…If we adopt the conventional way [30], the ground state |↓ and excited state |↑ could be encoded in S 1/2 (m j = −1/2) and D 5/2 (m j = −1/2), respectively, and D 5/2 (m j = −3/2) can be one of the candidates for the auxiliary state |aux . In contrast, once the straightforward way is utilized, as done in [31], for the first (n − 1) ions, the qubits |↓ and |↑ are encoded in S 1/2 (m j = 1/2) and S 1/2 (m j = −1/2), namely, the Zeeman sublevels of the ground state S 1/2 [40], but for the last nth ion, the qubits |↓ and |↑ are encoded into S 1/2 (m j = 1/2) and D 5/2 (m j = −1/2), respectively. The prerequisite of the experiment includes the accurate tuning of the laser pulses to the desired frequencies and phases, and the initial preparation of the vibrational mode of the ions to the ground state.…”

Section: Discussionmentioning

confidence: 99%

“…To discuss the experimental feasibility of our scheme, we consider ultracold trapped Calcium ions 40 Ca + in a linear trap as an example. If we adopt the conventional way [30], the ground state |↓ and excited state |↑ could be encoded in S 1/2 (m j = −1/2) and D 5/2 (m j = −1/2), respectively, and D 5/2 (m j = −3/2) can be one of the candidates for the auxiliary state |aux .…”

Section: Discussionmentioning

confidence: 99%

“…Note that the single-qubit operation takes negligible time in comparison with multiqubit C In what follows, we compare the two above-mentioned methods working with trapped 40 Ca + to carry out the quantum circuits in Figs. 2, 3, and 4.…”

Section: Experimental Feasibility With Trapped Ions By Two Methodsmentioning

confidence: 99%

“…The search probability for finding the solution to a K-SAT problem in one iteration in Grover search versus the parameter m, where the dotted, solid, dashed-dotted curves represent the cases of the quantum circuits I, II, and III, respectively. 40 Ca + by the quantum circuits I (Fig. 2), II (Fig.…”

Section: Appendix: Eigenvalue Kickback Effectmentioning

confidence: 99%

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Solution to the satisfiability problem using a complete Grover search with trapped ions

Yang

Zhou

Chang³

et al. 2009

J. Phys. B: At. Mol. Opt. Phys.

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The main idea in the original Grover search (Phys. Rev. Lett. 79, 325 (1997)) is to single out a target state containing the solution to a search problem by amplifying the amplitude of the state, following the Oracle's job, i.e., a black box giving us information about the target state. We design quantum circuits to accomplish a complete Grover search involving both the Oracle's job and the amplification of the target state, which are employed to solve Satisfiability (SAT) problems. We explore how to carry out the quantum circuits by currently available ion-trap quantum computing technology.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Experimental Feasibility With Trapped Ions By Two Methodsmentioning

confidence: 99%

Section: Appendix: Eigenvalue Kickback Effectmentioning

confidence: 99%

See 2 more Smart Citations

Solution to the satisfiability problem using a complete Grover search with trapped ions

Yang

Zhou

Chang³

et al. 2009

J. Phys. B: At. Mol. Opt. Phys.

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“…The leading groups at NIST and Innsbruck are employing 9 Be + [5] and 40 Ca + [6]. The Oxford groups are working with 40 Ca + [7], and other groups are exploring 111 Cd + [8], 171 Yb + [9], 43 Ca + [10], 138 Ba + [11] and 88 Sr + [12]. Since ion traps could potentially provide a very clean and isolated space for confinement, the ultra-cold ions trapped inside could be manipulated coherently, which favors storage and processing of quantum information [13].…”

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confidence: 99%

A cloud of laser cooled 40Ca+ in a linear ion trap

Zhou

Xie

et al. 2010

Chin. Sci. Bull.

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A cloud of 40 Ca + is successfully trapped and cooled using the radiation of a red-detuned 397 nm laser beam and a resonant 866 nm laser beam in our prototype linear ion trap, which was designed and constructed for studying quantum information processing. We have characterized the size of the ion cloud, estimating the temperature to be in the order of milli-Kelvins.ion trap, laser cooling, quantum information processing Citation:Laser-cooled trapped ions are considered as promising candidates for the investigation and implementation of quantum information processing (QIP). There have been experimental demonstrations for simple quantum algorithms with trapped ions [1] and for entangling eight ultra-cold ions in a linear trap [2]. It is thought that scalable QIP with trapped ions could be carried out by moving the ions from one zone to another in a multi-trap device [3] or by entangling spatially separate ions by entangling the emitted photons [4]. There are approximately 25 research groups studying QIP with various trapped ion species. The leading groups at NIST and Innsbruck are employing 9 Be + [5] and 40 Ca + [6]. The Oxford groups are working with 40 Ca + [7], and other groups are exploring 111 Cd + [8], 171 Yb + [9], 43 Ca + [10], 138 Ba + [11] and 88 Sr + [12]. Since ion traps could potentially provide a very clean and isolated space for confinement, the ultra-cold ions trapped inside could be manipulated coherently, which favors storage and processing of quantum information [13]. We may encode qubits in the electronic levels of the ions and manipulate these qubits by lasers either individually or globally. Interactions between *These authors contributed equally to this work †Corresponding authors (email: hxueren@wipm.ac.cn; mangfeng@wipm.ac.cn) the qubits occur via the quantized vibrational modes of the ions.This paper describes recent work on the successful trapping of a cloud of 40 Ca + ions in our prototype linear ion trap. This is the first step toward the QIP with a line of trapped ions undertaken in China. The linear ion trap we built consists of four radio frequency (RF) blades, two end-cap tips and two compensation electrodes. In comparison with the traditional linear ion trap with four RF-rods and two ring end-caps, our trap could provide stronger trapping potential and cleaner trapping space due to the reduction in trap size and the minimization of the ceramic surface facing toward the trap.Our trap setup is described in Figure 1, the opposing RF blades are separated by 1.6 mm, and the spacing between the two end-cap tips is 5.0 mm. The ions are produced in the trap center by the electron bombardment on an atomic beam from the calcium oven. The linear trap is encapsulated in a vacuum chamber connected to a 40 L/s ion pump (Vacion plus 40 diode pump, Varian Inc) plus a titanium sublimation pump (Varian). Chamber pressures below 10 −9 mbar can be inferred from the measured current through the ion pump (≤0.1 μA). To trap ions, a prototype tunable RF drive running

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Transport Dynamics of Single Ions in Segmented Microstructured Paul Trap Arrays

Reichle

Leibfried

Blakestad

et al. 2007

Elements of Quantum Information

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It was recently proposed to use small groups of trapped ions as qubit carriers in miniaturized electrode arrays that comprise a large number of individual trapping zones, between which ions could be moved [1,2]. This approach might be scalable for quantum information processing with a large numbers of qubits. Processing of quantum information is achieved by transporting ions to and from separate memory and qubit manipulation zones in between quantum logic operations. The transport of ion groups in this scheme plays a major role and requires precise experimental control and fast transport. In this paper we introduce a theoretical framework to study ion transport in external potentials that might be created by typical miniaturized Paul trap electrode arrays. In particular we discuss the relationship between classical and quantum descriptions of the transport and study the energy transfer to the oscillatory motion during near-adiabatic transport. Based on our findings we suggest a numerical method to find electrode potentials as a function of time to optimize the local potential an ion experiences during transport. We demonstrate this method for one specific electrode geometry that should closely represent the situation encountered in realistic trap arrays.

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High-Efficiency Detection of a Single Quantum of Angular Momentum by Suppression of Optical Pumping

Cited by 25 publications

References 7 publications

Solution to the satisfiability problem using a complete Grover search with trapped ions

Solution to the satisfiability problem using a complete Grover search with trapped ions

A cloud of laser cooled 40Ca+ in a linear ion trap

Transport Dynamics of Single Ions in Segmented Microstructured Paul Trap Arrays

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