Superconducting quantum circuit for bosonic codes with galvanic coupling
A non-linear superconducting quantum circuit comprising at least one resonant portion and an asymmetrical threaded superconducting quantum interference device connected to said at least one resonant portion galvanically, said non-linear superconducting circuit having a first mode with a first resonant frequency and a second mode with a second resonant frequency, the ratio between said first resonant frequency and said second resonant frequency being different from ½, said at least one resonant portion being configured with inductance and capacitance values of its symbolic representation which induce with said asymmetrical threaded superconducting quantum interference device said first mode and said second mode such that, said non-linear superconducting quantum circuit has zero-point fluctuations of the superconducting phase across the asymmetrical threaded superconducting quantum interference device for the first mode and the second mode which are superior or equal to 0.05 rad.
1 . An on-linear superconducting quantum circuit, comprising:
a first resonant portion comprising at least one inductance and at least one capacitor;
a second resonant portion comprising at least one inductance and at least one capacitor; and
an asymmetrical threaded superconducting quantum interference device being arranged between said first resonant portion and said second resonant portion,
wherein said non-linear superconducting quantum circuit being characterized in that said asymmetrical threaded superconducting quantum interference device is connected to both said first resonant portion and said second resonant portion galvanically, said non-linear superconducting circuit hosts a first mode (a) with a first resonant frequency in said first resonant portion and hosts a second mode (b) with a second resonant frequency in said second resonant portion, the ratio between said first resonant frequency and said second resonant frequency is different from ½, said first resonant portion and said second resonant portion are configured with inductance and capacitance values which induce with said asymmetrical threaded superconducting quantum interference device said first mode (a) and said second mode (b) such that said non-linear superconducting quantum circuit has zero-point fluctuations of the superconducting phase across the asymmetrical threaded superconducting quantum interference device for the first mode (a) and the second mode (b) which are superior or equal to 0.05 rad.
2 . The non-linear superconducting quantum circuit according to claim 1 , wherein said at least one inductance and said at least one capacitor of said first resonant portion and said second resonant portion are in series or in parallel, respectively, and said asymmetrical threaded superconducting quantum interference device is in parallel or in series, respectively, with said first resonant portion and said second resonant portion.
3 . The non-linear superconducting quantum circuit according to claim 2 , wherein said non-linear superconducting quantum circuit lies on a dielectric substrate and is delimited from a common ground plane by exposed portions of said dielectric substrate, and said first resonant portion and said second resonant portion are realized in physically distinct portions of said non-linear superconducting quantum circuit.
4 . The non-linear superconducting quantum circuit according to claim 1 , wherein said non-linear superconducting quantum circuit lies on a dielectric substrate and is delimited from a common ground plane by exposed portions of said dielectric substrate, and said first resonant portion and said second resonant portion are realized in physically distinct portions of said non-linear superconducting quantum circuit.
5 . The non-linear superconducting quantum circuit according to claim 4 , wherein said non-linear superconducting quantum circuit is formed on a substantially planar substrate and has a width and a height which are shorter than a quarter wavelength corresponding respectively to said first resonant frequency and said second resonant frequency.
6 . The non-linear superconducting quantum circuit according to claim 5 , wherein said first resonant portion and said second resonant portion are galvanically isolated from said common ground plane.
7 . The non-linear superconducting quantum circuit according to claim 5 , wherein said first resonant portion and said second resonant portion are galvanically connected to said common ground plane.
8 . The non-linear superconducting quantum circuit according to claim 4 , wherein said first resonant portion and said second resonant portion are galvanically isolated from said common ground plane.
9 . The non-linear superconducting quantum circuit according to claim 4 , wherein said first resonant portion and said second resonant portion are galvanically connected to said common ground plane.
10 . The non-linear superconducting quantum circuit according to claim 1 , wherein the first resonant frequency and the second resonant frequency are such that a difference between two times the first resonant frequency and the second resonant frequency is smaller than half the first resonant frequency and half the second resonant frequency.
11 . The non-linear superconducting quantum circuit according to claim 1 , wherein one or more of said at least one inductance is made by an array of Josephson junctions or a high kinetic inductance material.
12 . A quantum device comprising:
a non-linear superconducting quantum circuit, comprising:
a first resonant portion comprising at least one inductance and at least one capacitor;
a second resonant portion comprising at least one inductance and at least one capacitor; and
an asymmetrical threaded superconducting quantum interference device being arranged between said first resonant portion and said second resonant portion,
wherein said non-linear superconducting quantum circuit being characterized in that said asymmetrical threaded superconducting quantum interference device is connected to both said first resonant portion and said second resonant portion galvanically, said non-linear superconducting circuit hosts a first mode (a) with a first resonant frequency in said first resonant portion and hosts a second mode (b) with a second resonant frequency in said second resonant portion, the ratio between said first resonant frequency and said second resonant frequency is different from ½, said first resonant portion and said second resonant portion-are configured with inductance and capacitance values which induce with said asymmetrical threaded superconducting quantum interference device said first mode (a) and said second mode (b) such that said non-linear superconducting quantum circuit has zero-point fluctuations of the superconducting phase across the asymmetrical threaded superconducting quantum interference device for the first mode (a) and the second mode (b) which are superior or equal to 0.05 rad;
a first microwave source connected to said non-linear superconducting quantum circuit for providing a radiation having a frequency equal to said second resonant frequency;
a second microwave source connected to said non-linear superconducting quantum circuit for providing a radiation having a frequency equal to the difference between two times the first resonant frequency and the second resonant frequency; and
a load to said at least one resonant portion which substantially only the second mode (b) is coupled, said first mode (a) thereby hosting a cat qubit.
13 . The quantum device according to claim 12 , further comprising a microwave filter for coupling to said load, said microwave filter being arranged to let the second resonant frequency pass and to block the first resonant frequency.
14 . A quantum computing system, comprising:
at least one quantum device, wherein the at least one quantum device comprises:
a non-linear superconducting quantum circuit, comprising:
a first resonant portion comprising at least one inductance and at least one capacitor;
a second resonant portion comprising at least one inductance and at least one capacitor; and
an asymmetrical threaded superconducting quantum interference device being arranged between said first resonant portion and said second resonant portion,
wherein said non-linear superconducting quantum circuit being characterized in that said asymmetrical threaded superconducting quantum interference device is connected to both said first resonant portion and said second resonant portion galvanically, said non-linear superconducting circuit hosts a first mode (a) with a first resonant frequency in said first resonant portion and hosts a second mode (b) with a second resonant frequency in said second resonant portion, the ratio between said first resonant frequency and said second resonant frequency is different from ½, said first resonant portion and said second resonant portion-are configured with inductance and capacitance values which induce with said asymmetrical threaded superconducting quantum interference device said first mode (a) and said second mode (b) such that said non-linear superconducting quantum circuit has zero-point fluctuations of the superconducting phase across the asymmetrical threaded superconducting quantum interference device for the first mode (a) and the second mode (b) which are superior or equal to 0.05 rad;
a first microwave source connected to said non-linear superconducting quantum circuit for providing a radiation having a frequency equal to said second resonant frequency;
a second microwave source connected to said non-linear superconducting quantum circuit for providing a radiation having a frequency equal to the difference between two times the first resonant frequency and the second resonant frequency; and
a load to said at least one resonant portion which substantially only the second mode (b) is coupled, said first mode (a) thereby hosting a cat qubit.
15 . The quantum computing system according to claim 14 , wherein the at least one quantum device further comprises a microwave filter for coupling to said load, said microwave filter being arranged to let the second resonant frequency pass and to block the first resonant frequency.