Disclosed is an apparatus and a method for facilitating a first frequency filtering and a second frequency filtering together with nonreciprocal frequency conversion for electromagnetic isolation.

Disclosed is an apparatus and a method for facilitating a first frequency filtering and a second frequency filtering together with nonreciprocal frequency conversion for electromagnetic isolation.

An impedance matching circuit be connected to a non-linear impedance including a superconductor, includes a first terminal designated first connection port to be connected to a first connector of the non-linear impedance, a second terminal designated second connection port to be connected to a second connector of the non-linear impedance, a third terminal designated input/output terminal to receive the signal to amplify and a fourth terminal designated supply terminal to be connected to a polarisation source and configured so that a voltage V is applied between the first connection port and the second connection port. The circuit further includes a plurality of passive electrical components.

In a method for determining a superconducting impedance matched parametric amplifier, a center wavelength parameter, a gain parameter, and a bandwidth parameter of the superconducting impedance matched parametric amplifier are determined. An impedance value of an impedance matching line of the superconducting impedance matched parametric amplifier and a capacitance value of the amplifier are determined based on the wavelength parameter, the gain parameter, and the bandwidth parameter. A line width dimension of a coplanar waveguide of the superconducting impedance matched parametric amplifier is calculated based on the impedance value of the impedance matching line. A stub dimension of the superconducting impedance matched parametric amplifier is calculated based on the impedance value of the impedance matching line and the capacitance value of the amplifier. Structural parameters of the superconducting impedance matched parametric amplifier are determined based on the line width dimension and the stub dimension.

In a method for determining a superconducting impedance matched parametric amplifier, a center wavelength parameter, a gain parameter, and a bandwidth parameter of the superconducting impedance matched parametric amplifier are determined. An impedance value of an impedance matching line of the superconducting impedance matched parametric amplifier and a capacitance value of the amplifier are determined based on the wavelength parameter, the gain parameter, and the bandwidth parameter. A line width dimension of a coplanar waveguide of the superconducting impedance matched parametric amplifier is calculated based on the impedance value of the impedance matching line. A stub dimension of the superconducting impedance matched parametric amplifier is calculated based on the impedance value of the impedance matching line and the capacitance value of the amplifier. Structural parameters of the superconducting impedance matched parametric amplifier are determined based on the line width dimension and the stub dimension.

A wide-band Josephson parametric amplifier and method of fabricating the wide-band Josephson parametric amplifier are described. The wide-band Josephson parametric amplifier comprises a substrate, a coplanar waveguide disposed on the substrate having an impedance that varies over a length of the coplanar waveguide, wherein the coplanar waveguide comprises a conductor separated from a first ground plane by a first gap and a second ground plane by a second gap, and a nonlinear resonator disposed on the substrate and coupled to the coplanar waveguide.

A wide-band Josephson parametric amplifier and method of fabricating the wide-band Josephson parametric amplifier are described. The wide-band Josephson parametric amplifier comprises a substrate, a coplanar waveguide disposed on the substrate having an impedance that varies over a length of the coplanar waveguide, wherein the coplanar waveguide comprises a conductor separated from a first ground plane by a first gap and a second ground plane by a second gap, and a nonlinear resonator disposed on the substrate and coupled to the coplanar waveguide.

In an implementation, a tunable traveling wave parametric amplifier (TWPA) includes a T-stage that includes a first DC-SQUID and a first interface inductively communicatively coupled to the first DC SQUID operable to apply a first bias to the first DC SQUID. The T-stage also includes a second DC-SQUID electrically communicatively coupled to the first DC-SQUID in series via a center node, and a second interface inductively communicatively coupled to the second DC-SQUID operable to apply a second bias to the second DC-SQUID. The TWPA also includes a shunting resonator communicatively coupled to the center node via a coupling capacitance. The shunting resonator includes a third DC-SQUID, and a third interface inductively communicatively coupled to the third DC SQUID operable to apply a third bias to the third DC SQUID. The first, second, and third biases are adjustable to improve a bandwidth of the tunable TWPA.

In an implementation, a tunable traveling wave parametric amplifier (TWPA) includes a T-stage that includes a first DC-SQUID and a first interface inductively communicatively coupled to the first DC SQUID operable to apply a first bias to the first DC SQUID. The T-stage also includes a second DC-SQUID electrically communicatively coupled to the first DC-SQUID in series via a center node, and a second interface inductively communicatively coupled to the second DC-SQUID operable to apply a second bias to the second DC-SQUID. The TWPA also includes a shunting resonator communicatively coupled to the center node via a coupling capacitance. The shunting resonator includes a third DC-SQUID, and a third interface inductively communicatively coupled to the third DC SQUID operable to apply a third bias to the third DC SQUID. The first, second, and third biases are adjustable to improve a bandwidth of the tunable TWPA.

An on-chip Josephson parametric converter is provided. The on-chip Josephson parametric converter includes a Josephson ring modulator. The on-chip Josephson parametric converter further includes a lossless power divider, coupled to the Josephson ring modulator, having a single input port and two output ports for receiving a pump drive signal via the single input port, splitting the pump drive signal symmetrically into two signals that are equal in amplitude and phase, and outputting each of the two signals from a respective one of the two output ports. The pump drive signal excites a common mode of the on-chip Josephson parametric converter.