Optimized generation of spatial qudits by using a pure phase spatial light modulator
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 modul...
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2014
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09534075_v47_n22_p_Varga http://hdl.handle.net/20.500.12110/paper_09534075_v47_n22_p_Varga |
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paper:paper_09534075_v47_n22_p_Varga2023-06-08T15:55:19Z Optimized generation of spatial qudits by using a pure phase spatial light modulator Ledesma, Silvia Adriana Iemmi, Claudio César correlators gratings modulators optical processors quantum information Diffraction gratings Modulators Optical processors Phase spatial light modulator Quantum Information Correlators 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 out. 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; 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 analyses are performed for qudits with D = 3 and D = 7. © 2014 IOP Publishing Ltd. Fil:Ledesma, S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Iemmi, C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2014 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09534075_v47_n22_p_Varga http://hdl.handle.net/20.500.12110/paper_09534075_v47_n22_p_Varga |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
correlators gratings modulators optical processors quantum information Diffraction gratings Modulators Optical processors Phase spatial light modulator Quantum Information Correlators |
| spellingShingle |
correlators gratings modulators optical processors quantum information Diffraction gratings Modulators Optical processors Phase spatial light modulator Quantum Information Correlators Ledesma, Silvia Adriana Iemmi, Claudio César Optimized generation of spatial qudits by using a pure phase spatial light modulator |
| topic_facet |
correlators gratings modulators optical processors quantum information Diffraction gratings Modulators Optical processors Phase spatial light modulator Quantum Information Correlators |
| description |
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 out. 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; 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 analyses are performed for qudits with D = 3 and D = 7. © 2014 IOP Publishing Ltd. |
| author |
Ledesma, Silvia Adriana Iemmi, Claudio César |
| author_facet |
Ledesma, Silvia Adriana Iemmi, Claudio César |
| author_sort |
Ledesma, Silvia Adriana |
| title |
Optimized generation of spatial qudits by using a pure phase spatial light modulator |
| title_short |
Optimized generation of spatial qudits by using a pure phase spatial light modulator |
| title_full |
Optimized generation of spatial qudits by using a pure phase spatial light modulator |
| title_fullStr |
Optimized generation of spatial qudits by using a pure phase spatial light modulator |
| title_full_unstemmed |
Optimized generation of spatial qudits by using a pure phase spatial light modulator |
| title_sort |
optimized generation of spatial qudits by using a pure phase spatial light modulator |
| publishDate |
2014 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09534075_v47_n22_p_Varga http://hdl.handle.net/20.500.12110/paper_09534075_v47_n22_p_Varga |
| work_keys_str_mv |
AT ledesmasilviaadriana optimizedgenerationofspatialquditsbyusingapurephasespatiallightmodulator AT iemmiclaudiocesar optimizedgenerationofspatialquditsbyusingapurephasespatiallightmodulator |
| _version_ |
1768542044068773888 |