Quantum Computation through Entangling Single Photons in Multipath Interferometers

Howell, John C.; Yeazell, John A.

doi:10.1103/physrevlett.85.198

Cited by 34 publications

(17 citation statements)

References 28 publications

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“…Some classical-wave analogies of quantum information processing [25][26][27], as well as a hybrid quantum-classical approach [28] have been proposed previously. Some elements of Grover's algorithm have been demonstrated with classical waves [8].…”

Section: -1mentioning

confidence: 99%

Implementation of Quantum Search Algorithm using Classical Fourier Optics

2002

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We report on an experiment on Grover's quantum search algorithm showing that classical waves can search a N -item database as efficiently as quantum mechanics can. The transverse beam profile of a short laser pulse is processed iteratively as the pulse bounces back and forth between two mirrors. We directly observe the sought item being found in ∼ √ N iterations, in the form of a growing intensity peak on this profile. Although the lack of quantum entanglement limits the size of our database, our results show that entanglement is neither necessary for the algorithm itself, nor for its efficiency.

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Section: -1mentioning

confidence: 99%

Implementation of Quantum Search Algorithm using Classical Fourier Optics

2002

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“…If the nonlinearity is large enough, such as    , then it can be used to implement quantum gates [24][25][26] and generate entangled states [27]. Obviously, eq.…”

Section: Generation Of a Four-photon Cluster Statementioning

confidence: 99%

Efficient preparation of a four-photon cluster state with homodyne measurement via cross-Kerr nonlinearity

Zhao

Liu

2011

Sci. China Phys. Mech. Astron.

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A scheme is proposed for generating a multiphoton entangled cluster state among four modes. The scheme only uses Kerr medium, beam splitter and homodyne measurements on coherent light fields, which can be efficiently made in quantum optical laboratories. The photon in the signal mode is prepared in a superposition state of the vacuum state and one-photon state while the probe beam is initially set in a coherent state superposition. The strong probe mode interacts successively with multiple signal-mode photons, each causing a conditional phase rotation in the probe mode. Subsequent momentum quadrature homodyne measurement of the probe mode will project the photons in the signal mode into the desired entangled states. It is shown that under certain conditions, the four-photon cluster state can be generated with high fidelity and high success probability, and the scheme is feasible by current experimental technology. cluster state, cross-Kerr nonlinearity, homodyne measurement, entanglement

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“…In the physical system, phase retrieval is not performed with the e ciency expected from the matrix M in equation (5). A major reason for this is that the far o -diagonal matrix elements are, in general, smaller than the near o -diagonal elements.…”

Section: Optimal Phase Retrieval Via Shaped Terahertz Pulsesmentioning

confidence: 99%

Control of Rydberg atoms to perform Grover's search algorithm

Rangan¹,

Ahn²,

Hutchinson³

et al. 2002

Journal of Modern Optics

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Abstract.It is shown that Grover's search algorithm can be implemented on a Rydberg atom data register using a short terahertz half-cycle pulse. Using optimal control theory, a shaped terahertz pulse is designed that can perform the search algorithm better than an unshaped half-cycle pulse. Starting from an initial wave packet, it is shown that it is possible to use the search algorithm to synthesize single-energy eigenstates. IntroductionIn this paper, we show that Grover's search algorithm [1] can be performed on a Rydberg atom data register using a broadband, terahertz half-cycle pulse (HCP). The search algorithm is a quantum mechanical method of searching an N-state database to ®nd a single bit of information stored in one of the states. A general understanding of the search algorithm can be obtained from reference [2]. The database consists of quantum states that are otherwise indistinguishable except for the relative phase di erences between them. The algorithm transforms this phase information into amplitude information, which can then be measured easily. The algorithm has been implemented in several physical systems [3±9]; here we present an implementation in a Rydberg atom.We present three related, but di erent, results. Using an impulse model of the HCP, it is shown that the phase retrieval performed by the HCP is closely related to the inversion-about-the-average operation central to the search algorithm. Using optimal control theory, shaped terahertz pulses are designed that can perform the search algorithm better than unshaped HCPs. Finally, it is shown that a broadband terahertz pulse can be used to drive a Rydberg wave packet population into a single eigenstate.The motivation for this research is the implementation of Grover's search algorithm [1] in a Rydberg atom. Figure 1 shows a schematic of this process. In our implementation of the quantum search algorithm, the data register is a Rydberg wave packet, i.e. a superposition of several eigenstates. In the experimental system, the 24p through 29p states of Cesium are used. Each eigenstate acts as a bit, and the information is stored in the phases of these eigenstates. A binary encoding is used: if the phase of an eigenstate relative to a reference state is 0, then the bit value is binary 0; if the phase of an eigenstate is º relative to a reference,

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Quantum Computation through Entangling Single Photons in Multipath Interferometers

Cited by 34 publications

References 28 publications

Implementation of Quantum Search Algorithm using Classical Fourier Optics

Implementation of Quantum Search Algorithm using Classical Fourier Optics

Efficient preparation of a four-photon cluster state with homodyne measurement via cross-Kerr nonlinearity

Control of Rydberg atoms to perform Grover's search algorithm

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