Optical half-adder and averaging data channels using nonlinear wave mixing

A method comprising:

• obtaining, by a first device, a first data stream carrying a first two-bit number as a 4-phase encoded channel with phase levels of
• φ
• A
• /
• 2
• =
• (
• 0
• ,
• π
• 4
• ,
• π
• 2
• ,
• 3
• ⁢
• π
• 4
• )
• ;
• obtaining, by a second device, a second data stream carrying a second two-bit number as a 4-phase encoded channel with phase levels of
• φ
• B
• /
• 2
• =
• (
• 0
• ,
• π
• 4
• ,
• π
• 2
• ,
• 3
• ⁢
• π
• 4
• )
• ;
• encoding, based on one or more quadrature-phase-shift-keying phases, the first data stream and the second data stream as four-phase-encoded optical data channels;
• computing, by an optically-assisted operation when nonlinear wave mixing the first and the second data streams, an average operation on encoded first and second data streams;
• and
• multicasting, by nonlinear wave mixing, the result of the average operation.

A system comprising:

• at least one memory;
• and
• at least one processor configured to:
• obtain a first data stream carrying a first two-bit number mapped to one or more quadrature-phase-shift-keying phases;
• obtain a second data stream carrying a second two-bit number mapped to the one or more quadrature-phase-shift-keying phases;
• encode, based on the one or more quadrature-phase-shift-keying phases, the first data stream and the second data stream in a 4-phase-shift-keying (4-PSK) modulation format;
• transform the first and the second data streams to an average operation, and
• multicasting a result of the average operation.