A cascading microwave switch, cascade, (300, 600) comprising: a set of Josephson switch devices (302 1,..., 302 N; 602 1,..., 602 N), each Josephson switch device (302 1,..., 302 N; 602 1,..., 602 N) in the set having a corresponding operating bandwidth (BW 1,..., BW N) of microwave frequencies, wherein different operating bandwidths (BW 1,..., BW N) have different corresponding center frequencies (f 1,..., f N); and a series coupling between first Josephson switch device (302 1; 602 1) from the set and an n th Josephson switch device (302 N; 602 N) from the set, wherein the series coupling causes the first Josephson switch device (302 1; 602 1) in an open state to reflect back to an input port of the first Josephson switch device (302 1; 602 1) a signal of a first frequency (f 1) from a frequency multiplexed microwave signal, multiplexed signal, and the n th Josephson switch device (302 N; 602 N) in the open state to reflect back to an input port of the n th Josephson switch device (302 N; 602 N) a signal of an n th frequency (f N) from the multiplexed signal. wherein the first Josephson switch device (302 1; 602 1) in the set of Josephson switch devices (302 1,..., 302 N; 602 1,..., 602 N) is a multi-path interferometric Josephson switch MPIJSW, comprising: a first nondegenerate microwave mixer device, first mixer, (102A, 202A); a second nondegenerate microwave mixer device, second mixer, (102B, 202B); a first input/output, I/O, port (PORT 1) coupled to an input port of the first mixer (102A, 202A) and an input port of the second mixer (102B, 202B); and a second I/O port (PORT 2) coupled to the input port of the first mixer (102A, 202A) and the input port of the second mixer (102B, 202B), wherein the signal of the first frequency (f 1) communicated between the first I/O port (PORT 1) and the second I/O port (PORT 2) is transmitted while propagating in either direction between the first I/O port (PORT 1) to the second I/O port (PORT 2) through the first mixer (102A, 202A) and the second mixer (102B, 202B) when the MPIJSW is closed, and wherein the first frequency (f 1) is in a first operating bandwidth (BW 1) of the first Josephson switch device (302 1; 602 1). a set of Josephson switch devices (302 1,..., 302 N; 602 1,..., 602 N), each Josephson switch device (302 1,..., 302 N; 602 1,..., 602 N) in the set having a corresponding operating bandwidth (BW 1,..., BW N) of microwave frequencies, wherein different operating bandwidths (BW 1,..., BW N) have different corresponding center frequencies (f 1,..., f N); and a series coupling between first Josephson switch device (302 1; 602 1) from the set and an n th Josephson switch device (302 N; 602 N) from the set, wherein the series coupling causes the first Josephson switch device (302 1; 602 1) in an open state to reflect back to an input port of the first Josephson switch device (302 1; 602 1) a signal of a first frequency (f 1) from a frequency multiplexed microwave signal, multiplexed signal, and the n th Josephson switch device (302 N; 602 N) in the open state to reflect back to an input port of the n th Josephson switch device (302 N; 602 N) a signal of an n th frequency (f N) from the multiplexed signal. wherein the first Josephson switch device (302 1; 602 1) in the set of Josephson switch devices (302 1,..., 302 N; 602 1,..., 602 N) is a multi-path interferometric Josephson switch MPIJSW, comprising: a first nondegenerate microwave mixer device, first mixer, (102A, 202A); a second nondegenerate microwave mixer device, second mixer, (102B, 202B); a first input/output, I/O, port (PORT 1) coupled to an input port of the first mixer (102A, 202A) and an input port of the second mixer (102B, 202B); and a second I/O port (PORT 2) coupled to the input port of the first mixer (102A, 202A) and the input port of the second mixer (102B, 202B), wherein the signal of the first frequency (f 1) communicated between the first I/O port (PORT 1) and the second I/O port (PORT 2) is transmitted while propagating in either direction between the first I/O port (PORT 1) to the second I/O port (PORT 2) through the first mixer (102A, 202A) and the second mixer (102B, 202B) when the MPIJSW is closed, and wherein the first frequency (f 1) is in a first operating bandwidth (BW 1) of the first Josephson switch device (302 1; 602 1). a first nondegenerate microwave mixer device, first mixer, (102A, 202A); a second nondegenerate microwave mixer device, second mixer, (102B, 202B); a first input/output, I/O, port (PORT 1) coupled to an input port of the first mixer (102A, 202A) and an input port of the second mixer (102B, 202B); and a second I/O port (PORT 2) coupled to the input port of the first mixer (102A, 202A) and the input port of the second mixer (102B, 202B), wherein the signal of the first frequency (f 1) communicated between the first I/O port (PORT 1) and the second I/O port (PORT 2) is transmitted while propagating in either direction between the first I/O port (PORT 1) to the second I/O port (PORT 2) through the first mixer (102A, 202A) and the second mixer (102B, 202B) when the MPIJSW is closed, and wherein the first frequency (f 1) is in a first operating bandwidth (BW 1) of the first Josephson switch device (302 1; 602 1).