Double-slit implementation of the minimal Deutsch algorithm

Marques, Breno; Barros, M. R.; Pimenta, W. M.; Carvalho, M. A. D.; Ferraz, J.; Drumond, Raphael C.; Cunha, Marcelo Terra; Pádua, S.

doi:10.1103/physreva.86.032306

Cited by 16 publications

(12 citation statements)

References 27 publications

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“…In the simplest approach, this discretization is achieved when the photons are made to pass through an aperture with D slits which sets the qudit dimension [5]. Due to this simplicity, spatial qudits enables one to work in high dimensions without cumbersome optical setups and for that reason they have drawn interest for miscellaneous applications such as quantum information protocols [6], quantum games [7], quantum algorithms [8], and quantum key distribution [9]. Most of those applications has benefited from the recent developments on the control of spatial qudits based on the technology of electrically addressed spatial light modulators (SLMs).…”

Section: Introductionmentioning

confidence: 99%

Optimized generation of spatial qudits by using a pure phase spatial light modulator

Varga¹,

Rebón²,

Solís-Prosser³

et al. 2014

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

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Abstract:We present a method for preparing arbitrary pure states of spatial qudits, namely, D-dimensional (D ≥ 2) quantum systems carrying information in the transverse momentum and position of single photons. For this purpose, a set of D slits with complex transmission are displayed on a spatial light modulator (SLM). In a recent work we have shown a method that requires a single phase-only SLM to control independently the complex coefficients which define the quantum state of dimension D. The amplitude information was codified by introducing phase gratings inside each slit and the phase value of the complex transmission was added to the phase gratings. After a spatial filtering process we obtained in the image plane the desired qudit state. Although this method has proven to be a good alternative to compact the previously reported architectures, it presents some features that could be improved. In this paper we present an alternative scheme to codify the required phase values that minimizes the effects of temporal phase fluctuations associated to the SLM where the codification is carried on. In this scheme the amplitudes are set by appropriate phase gratings addressed at the SLM while the relative phases are obtained by a lateral displacement of these phase gratings. We show that this method improves the quality of the prepared state and provides very high fidelities of preparation for any state. An additional advantage of this scheme is that a complete 2π modulation is obtained by shifting the grating by one period, and hence the encoding is not limited by the phase modulation range achieved by the SLM. Numerical simulations, that take into account the phase fluctuations, show high fidelities for thousands of qubit states covering the whole Bloch sphere surface. Similar analysis are performed for qudits with D = 3 and D = 7.

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Section: Introductionmentioning

confidence: 99%

Optimized generation of spatial qudits by using a pure phase spatial light modulator

Varga¹,

Rebón²,

Solís-Prosser³

et al. 2014

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

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“…Recently, the use of programmable spatial light modulators (SLM) has enhanced the potential for this encoding, providing advances ranging from automated state preparation [20] to automated state transformations [21]. In turn, these advances provided a fertile ground for many recent applications of these multipath qudits such as the demonstration of novel quantum tomographic techniques [22,23], quantum algorithms [24], entanglement characterization [25] and concentration [26], simulation of decoherence [27], quantum key distribution [28], state discrimination [29], and contextuality tests [30][31][32]. However, regarding the transformations (in which the final state is preserved), so far the operations implemented via SLMs have been restricted to diagonal ones in the ba-Typeset by REVT E X arXiv:1703.10752v1 [quant-ph] 31 Mar 2017 sis of which-path states.…”

Section: Introductionmentioning

confidence: 99%

Proposal for automated transformations on single-photon multipath qudits

et al. 2017

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We propose a method for implementing automated state transformations on single-photon multipath qudits encoded in a one-dimensional transverse spatial domain. It relies on transferring the encoding from this domain to the orthogonal one by applying a spatial phase modulation with diffraction gratings, merging all the initial propagation paths with a stable interferometric network, and filtering out the unwanted diffraction orders. The automated feature is attained by utilizing a programmable phase-only spatial light modulator (SLM) where properly designed diffraction gratings displayed on its screen will implement the desired transformations, including, among others, projections, permutations and random operations. We discuss the losses in the process which is, in general, inherently nonunitary. Some examples of transformations are presented and, considering a realistic scenario, we analyse how they will be affected by the pixelated structure of the SLM screen. The method proposed here enables one to implement much more general transformations on multipath qudits than it is possible with an SLM alone operating in the diagonal basis of which-path states. Therefore, it will extend the range of applicability for this encoding in high-dimensional quantum information and computing protocols as well as fundamental studies in quantum theory. PACS numbers: 42.50.Dv, 03.67.-a I.

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“…For example, it has been shown that D entangled photons can be produced so as to produce interference fringes with period proportional to the de Broglie wavelength of the D-photon wave packet [12,23,25,26], which has been shown to be potentially useful for quantum lithography [27]. Additional experiments include spatial antibunching [20,21], fractional topological phase of entangled photons [28], tests of quantum complementarity [4][5][6]15], quantum contextuality [29], and quantum information protocols [30]. It is also possible to produce high-dimensional entangled photons using temporal wave packets [31,32].…”

Section: Introductionmentioning

confidence: 99%

Detecting multipartite spatial entanglement with modular variables

et al. 2015

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Interference phenomena of quantum systems have been studied in the context of fundamental aspects of quantum physics and are considered a necessary resource for quantum information. Here we investigate the interference of multiparticle wave packets in terms of modular variables, which is a natural and convenient way to describe two or more interfering wave functions. Through the modular-variable description, interesting phenomena appear such as the complementarity between the number of wave packets and the width of the peaks of the momentum distribution. In the multipartite case, this effect produces quantum entanglement. We derive entanglement criteria that test for bipartite entanglement in generic bipartitions of a multipartite quantum state and use these criteria to test for genuine D-partite entanglement.

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Double-slit implementation of the minimal Deutsch algorithm

Cited by 16 publications

References 27 publications

Optimized generation of spatial qudits by using a pure phase spatial light modulator

Optimized generation of spatial qudits by using a pure phase spatial light modulator

Proposal for automated transformations on single-photon multipath qudits

Detecting multipartite spatial entanglement with modular variables

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