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

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 2πmodulation 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.

12 pages, 7 figures

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Cited by in corpus (12)

• Experimental minimum-error quantum-state discrimination in high dimensions
• Determination of any pure spatial qudits from a minimum number of measurements by phase stepping interferometry
• Experimental quantum tomography assisted by multiply symmetric states in higher dimensions
• Enhanced discrimination of high-dimensional quantum states by concatenated optimal measurement strategies
• Remote temporal wavepacket narrowing
• Proposal for Automated Operations for Single-Photon Multipath Qudits
• Controlled generation of mixed spatial qudits with arbitrary degree of purity
• Ptychography of pure quantum states
• Experimental optimal discrimination of $N$ states of a qubit with fixed rates of inconclusive outcomes
• Ptychographic reconstruction of pure quantum states
• Optimization for maximum modulation of a double-pass twisted nematic liquid crystal display
• Determination of spatial quantum states by using Point Diffraction Interferometry