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Spreeuw, R. J. C.

doi:10.1023/a:1018703709245

Cited by 311 publications

(220 citation statements)

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“…Otherwise, the analogy between quantum mechanics and classical optics has been recently explored [1][2][3][4][5][6]. The key idea is to exploit the wave nature of the electromagnetic field in order to represent the quantum state of one or more particles.…”

Section: Introductionmentioning

confidence: 99%

Optically simulated universal quantum computation

Francisco¹,

Ledesma²,

Wetter³

et al. 2008

AIP Conference Proceedings

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Articles you may be interested inQuantum computer aided design simulation and optimization of semiconductor quantum dots J. Appl. Phys. 114, 164302 (2013) Abstract. Recently, classical optics based systems to emulate quantum information processing have been proposed. The analogy is based on the possibility of encoding a quantum state of a system with a 2^-dimensional Hilbert space as an image in the input of an optical system. The probability amplitude of each state of a certain basis is associated with the complex amplitude of the electromagnetic field in a given slice of the laser wavefront. Temporal evolution is represented as the change of the complex amplitude of the field when the wavefront pass through a certain optical arrangement. Different modules that represent universal gates for quantum computation have been implemented. For instance, unitary operations acting on the qbits space (or U(2) gates) are represented by means of two phase plates, two spherical lenses and a phase grating in a typical image processing set up. In this work, we present CNOT gates which are emulated by means of a cube prism that splits a pair of adjacent rays incoming from the input image. As an example of application, we present an optical module that can be used to simulate the quantum teleportation process. We also show experimental results that illustrate the validity of the analogy. Although the experimental results obtained are promising and show the capability of the system for simulate the real quantum process, we must take into account that any classical simulation of quantum phenomena, has as fundamental limitation the impossibility of representing non local entanglement. In this classical context, quantum teleportation has only an illustrative interpretation.

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Section: Introductionmentioning

confidence: 99%

Optically simulated universal quantum computation

Francisco¹,

Ledesma²,

Wetter³

et al. 2008

AIP Conference Proceedings

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“…Indeed, with this proviso, the unary mapping allows the implementation of any quantum algorithm for small numbers of qubits, even in the presence of entanglement 11,12 .…”

Section: Introductionmentioning

confidence: 99%

Time- and frequency-domain solutions in an optical analogue of Grover's search algorithm

2007

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We present new results on an optical implementation of Grover's quantum search algorithm. This extends previous work in which the transverse spatial mode of a light beam oscillates between a broad initial input shape and a highly localized spike, which reveals the position of the tagged item. The spike reaches its maximum intensity after ∼ √ N round trips in a cavity equipped with two phase plates, where N is the ratio of the surface area of the original beam and the area of the phase spot or tagged item. In our redesigned experiment the search space is now two-dimensional. In the time domain we demonstrate for the first time a multiple item search where the items appear directly as bright spots on the images of a gated camera. In a complementary experiment we investigate the searching cavity in the frequency domain. The oscillatory nature of the search algorithm can be seen as a splitting of cavity eigenmodes, each of which concentrates up to 50% of its power in the bright spot corresponding to the solution.

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“…There are many classical systems that physically implement some of the features of quantum computation [5,6,7,8]. For example electromagnetic waves may be linearly superimposed and interfere.…”

Section: Introductionmentioning

confidence: 99%

Quantum computation by quantumlike systems

Man’ko

Mendes

2001

Physics Letters A

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Using a quantumlike description for light propagation in nonhomogeneous optical fibers, quantum information processing can be implemented by optical means. Quantum-like bits (qulbits) are associated to light modes in the optical fiber and quantum gates to segments of the fiber providing an unitary transformation of the mode structure along a space direction. Simulation of nonlinear quantum effects is also discussed.

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Cited by 311 publications

References 10 publications

Optically simulated universal quantum computation

Optically simulated universal quantum computation

Time- and frequency-domain solutions in an optical analogue of Grover's search algorithm

Quantum computation by quantumlike systems

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