Abstract: Examples of the present disclosure include the use of a topological system including an array of coupled ring resonators that exhibits topological edge states to generate frequency combs and temporal dissipative Kerr solitons. The topological edge states constitute a travelling-wave super-ring resonator causing generation of at least coherent nested optical frequency combs, and self-formation of nested temporal solitons that are robust against defects in the array at a mode efficiency exceeding 50%.

Abstract: A method for detecting a two-qubit correlated dephasing error includes accessing a signal of a quantum system, where the quantum system includes a plurality of qubits. Every qubit has a nonzero rate of dephasing and some qubits have a nonzero rate of correlated dephasing. The signal further includes information about a matrix that includes diagonal elements and off-diagonal elements. The off-diagonal elements of the matrix are 2 s-sparse. The method further includes performing randomized measurements of the off-diagonal elements of the matrix and recovering the matrix based on a direct measurement of the diagonal elements of the matrix.

Abstract: A topological photonic system configured as a robust source of indistinguishable photons pairs with tunable spectral correlations. The system includes a two-dimensional silicon-photonic ring resonator array configured to implement an anomalous-quantum Hall model that exhibits topologically robust edge states. Linear dispersion of the edge states ensures efficient and robust phase matching and tunability of the spectral bandwidth of photon pairs generated via spontaneous four-wave mixing. Spectral tunability is manifested in the temporal correlations in the Hong-Ou-Mandel interference between photons. The generated photon pairs are energy-time entangled.

Abstract: Examples of the present disclosure include the use of a topological system including an array of coupled ring resonators that exhibits topological edge states to generate frequency combs and temporal dissipative Kerr solitons. The topological edge states constitute a travelling-wave super-ring resonator causing generation of at least coherent nested optical frequency combs, and self-formation of nested temporal solitons that are robust against defects in the array at a mode efficiency exceeding 50%.

Abstract: A topological photonic system configured as a robust source of indistinguishable photons pairs with tunable spectral correlations. The system includes a two-dimensional silicon-photonic ring resonator array configured to implement an anomalous-quantum Hall model that exhibits topologically robust edge states. Linear dispersion of the edge states ensures efficient and robust phase matching and tunability of the spectral bandwidth of photon pairs generated via spontaneous four-wave mixing. Spectral tunability is manifested in the temporal correlations in the Hong-Ou-Mandel interference between photons. The generated photon pairs are energy-time entangled.

Abstract: A thermometer includes a substrate; an optical resonator disposed on the substrate and including an optical resonance, the optical resonator being configured to receive a resonant frequency corresponding to the optical resonance; and a waveguide disposed on the substrate proximate to the optical resonator to receive input light, to communicate the resonant frequency to the optical resonator, and to transmit output light; wherein an aperture is interposed between: the substrate and the optical resonator, the substrate and the waveguide, or a combination comprising at least one of the foregoing, and the thermometer is configured to change the optical resonance in response to a change in temperature of the optical resonator.

Abstract: On-chip non-reciprocity can be achieved by employing micron-sized optomechanical (OM) devices that are fabricated on-chip and which can be integrated with other optical elements. Non-linear coupling between light and a mechanical mode inside a resonator can provide a non-reciprocal response of the OM system, which can be induced and fully controlled by an external driving electromagnetic field. By choosing different resonator and/or waveguide configurations and by tuning different system parameters, the same OM coupling mechanism can be used to provide isolation (e.g., as an optical diode), non-reciprocal phase shifting, and/or routing applications. Even in the presence of a finite intrinsic mode coupling inside the resonator, non-reciprocal effects remain large for a sufficiently strong OM coupling. The disclosed systems, methods, and devices can be applied on a single photon level, which may find use for various non-reciprocal applications in the classical optical as well as the quantum regime.

Abstract: Two-dimensional coupled resonator optical waveguide arrangements and systems, devices, and methods thereof. Networks of coupled resonator optical waveguides are arranged so as to exploit topological properties of these optical networks. Such arrangement affords topological protection against disorders or perturbations in the network that may hinder or block photon flow. As a result of a disorder, photons traversing along edge states of the array are rerouted based on the disorder or perturbation. Photon routing in the network is accordingly protected against disorder or defects.

Abstract: A thermometer includes a substrate; an optical resonator disposed on the substrate and including an optical resonance, the optical resonator being configured to receive a resonant frequency corresponding to the optical resonance; and a waveguide disposed on the substrate proximate to the optical resonator to receive input light, to communicate the resonant frequency to the optical resonator, and to transmit output light; wherein an aperture is interposed between: the substrate and the optical resonator, the substrate and the waveguide, or a combination comprising at least one of the foregoing, and the thermometer is configured to change the optical resonance in response to a change in temperature of the optical resonator.

Abstract: On-chip non-reciprocity can be achieved by employing micron-sized optomechanical (OM) devices that are fabricated on-chip and which can be integrated with other optical elements. Non-linear coupling between light and a mechanical mode inside a resonator can provide a non-reciprocal response of the OM system, which can be induced and fully controlled by an external driving electromagnetic field. By choosing different resonator and/or waveguide configurations and by tuning different system parameters, the same OM coupling mechanism can be used to provide isolation (e.g., as an optical diode), non-reciprocal phase shifting, and/or routing applications. Even in the presence of a finite intrinsic mode coupling inside the resonator, non-reciprocal effects remain large for a sufficiently strong OM coupling. The disclosed systems, methods, and devices can be applied on a single photon level, which may find use for various non-reciprocal applications in the classical optical as well as the quantum regime.

Abstract: Two-dimensional coupled resonator optical waveguide arrangements and systems, devices, and methods thereof. Networks of coupled resonator optical waveguides are arranged so as to exploit topological properties of these optical networks. Such arrangement affords topological protection against disorders or perturbations in the network that may hinder or block photon flow. As a result of a disorder, photons traversing along edge states of the array are rerouted based on the disorder or perturbation. Photon routing in the network is accordingly protected against disorder or defects.