Optical coherency matrix tomography

Kagalwala, Kumel H.; Kondakci, H. Esat; Abouraddy, Ayman F.; Saleh, Bahaa E. A.

doi:10.1038/srep15333

Cited by 40 publications

(26 citation statements)

References 54 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We make use of the polarization discrimination of SLMs4142 to construct a polarization interferometer – in lieu of a two-path interferometer – to accomplish generalized interferometry in an inherently stable configuration. Switching between Hilbert spaces – that is, examining a beam in different bases – is readily achieved in the same setup with no moving parts, simply by changing the phases imparted by the SLMs.…”

mentioning

confidence: 99%

Basis-neutral Hilbert-space analyzers

Martin

Mardani

Kondakci

et al. 2017

Sci Rep

Self Cite

View full text Add to dashboard Cite

Interferometry is one of the central organizing principles of optics. Key to interferometry is the concept of optical delay, which facilitates spectral analysis in terms of time-harmonics. In contrast, when analyzing a beam in a Hilbert space spanned by spatial modes – a critical task for spatial-mode multiplexing and quantum communication – basis-specific principles are invoked that are altogether distinct from that of ‘delay’. Here, we extend the traditional concept of temporal delay to the spatial domain, thereby enabling the analysis of a beam in an arbitrary spatial-mode basis – exemplified using Hermite-Gaussian and radial Laguerre-Gaussian modes. Such generalized delays correspond to optical implementations of fractional transforms; for example, the fractional Hankel transform is the generalized delay associated with the space of Laguerre-Gaussian modes, and an interferometer incorporating such a ‘delay’ obtains modal weights in the associated Hilbert space. By implementing an inherently stable, reconfigurable spatial-light-modulator-based polarization-interferometer, we have constructed a ‘Hilbert-space analyzer’ capable of projecting optical beams onto any modal basis.

show abstract

mentioning

confidence: 99%

Basis-neutral Hilbert-space analyzers

Martin

Mardani

Kondakci

et al. 2017

Sci Rep

Self Cite

View full text Add to dashboard Cite

show abstract

“…While recent work has exploited spectral splitting of the solar spectrum to optimize the photovoltaic conversion with multiple semiconductor junctions 28 , our approach – on the other hand – implements a continuous mapping to a wavelength-dependent angle of incidence θ ( λ ). Indeed, our work extends to the continuum the correlations between discretized optical degrees of freedom studied in refs 29 – 31 . As a result, the advantages associated with a resonance – such as field enhancement through resonant buildup and enhanced optical nonlinearities – become altogether decoupled from the cavity linewidth and are thus available over orders-of-magnitude larger bandwidths.…”

Section: Discussionmentioning

confidence: 65%

Omni-resonant optical micro-cavity

Shabahang

Kondakci

Villinger

et al. 2017

Sci Rep

Self Cite

View full text Add to dashboard Cite

Optical cavities transmit light only at discrete resonant frequencies, which are well-separated in micro-structures. Despite attempts at the construction of planar ‘white-light cavities’, the benefits accrued upon optically interacting with a cavity – such as resonant field buildup – have remained confined to narrow linewidths. Here, we demonstrate achromatic optical transmission through a planar Fabry-Pérot micro-cavity via angularly multiplexed phase-matching that exploits a bio-inspired grating configuration. By correlating each wavelength with an appropriate angle of incidence, a continuous spectrum resonates and the micro-cavity is rendered transparent. The locus of a single-order 0.7-nm-wide resonance is de-slanted in spectral-angular space to become a 60-nm-wide achromatic resonance spanning multiple cavity free-spectral-ranges. The result is an ‘omni-resonant’ planar micro-cavity in which light resonates continuously over a broad spectral span. This approach severs the link between the resonance bandwidth and the cavity-photon lifetime, thereby promising resonant enhancement of linear and nonlinear optical effects over broad bandwidths in ultrathin devices.

show abstract

“…Such devices impart a spatially varying phase factor e iφ ( x , y ) to only one polarization component of an impinging vector optical field (assumed throughout), while the orthogonal polarization component remains invariant. A coupling between the polarization and spatial DoFs is thus introduced 41 , 42 , thereby entangling the associated logical qubits 40 . The two-qubit four-dimensional Hilbert space associated with polarization and x -parity is spanned by the hybrid basis , in correspondence with the logical basis .…”

Section: Resultsmentioning

confidence: 99%

“…Here, we report an experimental demonstration of linear, deterministic, two- and three-qubit quantum logic gates that exploit the polarization and 2D spatial-parity-symmetry of single photons. At the center of our experiment is a polarization-selective SLM that modulates the phase of only one polarization component of the single-photon wavefront 40 – 42 . Because such an SLM introduces a coupling between the polarization and spatial DoFs 41 , it can implement controlled unitary gates predicated on the photon state of polarization 40 —a feature that has not received sufficient attention to date.…”

Section: Introductionmentioning

confidence: 99%

Single-photon three-qubit quantum logic using spatial light modulators

et al. 2017

Self Cite

View full text Add to dashboard Cite

The information-carrying capacity of a single photon can be vastly expanded by exploiting its multiple degrees of freedom: spatial, temporal, and polarization. Although multiple qubits can be encoded per photon, to date only two-qubit single-photon quantum operations have been realized. Here, we report an experimental demonstration of three-qubit single-photon, linear, deterministic quantum gates that exploit photon polarization and the two-dimensional spatial-parity-symmetry of the transverse single-photon field. These gates are implemented using a polarization-sensitive spatial light modulator that provides a robust, non-interferometric, versatile platform for implementing controlled unitary gates. Polarization here represents the control qubit for either separable or entangling unitary operations on the two spatial-parity target qubits. Such gates help generate maximally entangled three-qubit Greenberger–Horne–Zeilinger and W states, which is confirmed by tomographical reconstruction of single-photon density matrices. This strategy provides access to a wide range of three-qubit states and operations for use in few-qubit quantum information processing protocols.

show abstract

Optical coherency matrix tomography

Cited by 40 publications

References 54 publications

Basis-neutral Hilbert-space analyzers

Basis-neutral Hilbert-space analyzers

Omni-resonant optical micro-cavity

Single-photon three-qubit quantum logic using spatial light modulators

Contact Info

Product

Resources

About