Test of mutually unbiased bases for six-dimensional photonic quantum systems

D’Ambrosio, Vincenzo; Cardano, Filippo; Karimi, Ebrahim; Nagali, Eleonora; Santamato, Enrico; Marrucci, Lorenzo; Sciarrino, Fabio

doi:10.1038/srep02726

Cited by 41 publications

(36 citation statements)

References 47 publications

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“…where ω expi2π∕3 [16,17]. We implement our method in computer-generated holograms displayed on cost-effective Cambridge Correlators SLMs, with a resolution of 1024 × 786 pixels.…”

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confidence: 99%

Exact solution to simultaneous intensity and phase encryption with a single phase-only hologram

et al. 2013

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A phase-only hologram applies a modal transformation to an optical transverse spatial mode via phase encoding and intensity masking. Accurate control of the optical field crucially depends on the method employed to encode the hologram. In this Letter, we present a method to encode the amplitude and the phase of an optical field into a phase-only hologram, which allows the exact control of spatial transverse modes. Any intensity masking method modulates the amplitude and alters the phase of the optical field. Our method consists in correcting for this unwanted phase alteration by modifying the phase encryption accordingly. We experimentally verify the accuracy of our method by applying it to the generation and detection of transverse spatial modes in mutually unbiased bases of dimension two and three.

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“…where ω expi2π∕3 [16,17]. We implement our method in computer-generated holograms displayed on cost-effective Cambridge Correlators SLMs, with a resolution of 1024 × 786 pixels.…”

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confidence: 99%

Exact solution to simultaneous intensity and phase encryption with a single phase-only hologram

et al. 2013

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“…Spatial light modulators (SLM) are ever more popular devices that have recently been employed for phase modulation of a light beam in a vast variety of classical and quantum optics [1][2][3][4], atom optics [5], optical tweezers [6,7], quantum chaos [8], quantum metrology [9], quantum information [10][11][12][13][14][15][16], and quantum communication experiments [17,18]. The increasing popularity of this device is mainly due to its versatility: SLMs have been used to produce different orbital angular momentum (OAM) states of light; they can act as digital lenses or holograms, tunable filters, among other applications.…”

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confidence: 99%

Characterization of a spatial light modulator as a polarization quantum channel

et al. 2014

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Spatial light modulators are versatile devices employed in a vast range of applications to modify the transverse phase or amplitude profile of an incident light beam. Most experiments are designed to use a specific polarization which renders optimal sensitivity for phase or amplitude modulation. Here we take a different approach and apply the formalism of quantum information to characterize how a phase modulator affects a general polarization state. In this context, the spatial modulators can be exploited as a resource to couple the polarization and the transverse spatial degrees of freedom. Using a quasimonochromatic single-photon beam obtained from a pair of twin photons generated by spontaneous parametric down conversion, we performed quantum process tomography in order to obtain a general analytic model for a quantum channel that describes the action of the device on the polarization qubits. We illustrate the application of these concepts by demonstrating the implementation of a controllable phase flip channel. This scheme can be applied in a straightforward manner to characterize the resulting polarization states of different types of phase or amplitude modulators and motivates the combined use of polarization and spatial degrees of freedom in innovative applications.

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“…In this way, we numerically demonstrate that the exemplified qubit and qutrit states can be reconstructed with the fidelities 0.952 and 0.961, respectively. Our proposal could be straightforwardly extended to other high-dimensional quantum systems provided that their MUBs exist.implement MUBs-QST only in optical systems [24][25][26][27]. Additionally, a theoretical scheme has been presented to realize MUBs-QST of two spin qubits in a double quantum dot [28].As a possible physical implementation, in this paper we propose a feasible proposal for MUBs-QST in dispersively coupled driven cavity QED systems.…”

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Quantum state tomography via mutually unbiased measurements in driven cavity QED systems

2016

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We present a feasible proposal for quantum tomography of qubit and qutrit states via mutually unbiased measurements in dispersively coupled driven cavity QED systems. We first show that measurements in the mutually unbiased bases (MUBs) are practically implemented by projecting the detected states onto the computational basis after performing appropriate unitary transformations. The measurement outcomes can then be determined by detecting the steady-state transmission spectra (SSTS) of the driven cavity. It is found that all the measurement outcomes for each MUB (i.e., all the diagonal elements of the density matrix of each detected state) can be read out directly from only one kind of SSTS. In this way, we numerically demonstrate that the exemplified qubit and qutrit states can be reconstructed with the fidelities 0.952 and 0.961, respectively. Our proposal could be straightforwardly extended to other high-dimensional quantum systems provided that their MUBs exist.implement MUBs-QST only in optical systems [24][25][26][27]. Additionally, a theoretical scheme has been presented to realize MUBs-QST of two spin qubits in a double quantum dot [28].As a possible physical implementation, in this paper we propose a feasible proposal for MUBs-QST in dispersively coupled driven cavity QED systems. We demonstrate our idea for the cases of qubit and qutrit states. Certainly, our idea is also suitable for other high-dimensional quantum systems if their MUBs exist. The main idea of our proposal is summarized as follows. First, measurements in the MUBs are implemented by projecting the detected states onto the computational basis after performing proper unitary transformations, which can be readily realized by adjusting the classical driving field applied on the qubit or qutrit. Secondly, the projective measurement outcomes can be determined by detecting the steady-state transmission spectra (SSTS) of the driven cavity. Through theoretical analysis and numerical experiments, it is found that multiple peaks appear in the SSTS: each of the detected peaks marks one of the computational basis states and its relative height equals the corresponding superposed probability in the detected state. This manifest advantage allows us to directly read out all the measurement outcomes for each MUB (i.e., all the diagonal elements of the density matrix of each detected state) by only one kind of SSTS. In this manner, MUBs-QST can be realized. Finally, our proposed readout method is of the nondestructive property [29]. This means that what we directly detect is the transmitted photons through the driven cavity, rather than intracavity atom itself. The measurement-induced noises on the atom can be efficiently suppressed. Thus we numerically demonstrate that the fidelities of the exemplified qubit and qutrit states can attain 0.952 and 0.961, respectively.The rest of this paper is organized as follows. In section 2, we briefly introduce the MUBs and the MUBs-QST for d-dimensional quantum system, especially for two minimal prime numbers d=2 a...

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Test of mutually unbiased bases for six-dimensional photonic quantum systems

Cited by 41 publications

References 47 publications

Exact solution to simultaneous intensity and phase encryption with a single phase-only hologram

Exact solution to simultaneous intensity and phase encryption with a single phase-only hologram

Characterization of a spatial light modulator as a polarization quantum channel

Quantum state tomography via mutually unbiased measurements in driven cavity QED systems

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