| CPC G02F 1/212 (2021.01) [G02B 6/1225 (2013.01); G02B 6/125 (2013.01); G02B 2006/12159 (2013.01)] | 15 Claims |

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1. An arbitrary matrix circuit, comprising:
a first matrix block including a first plurality of special generalized Mach-Zehnder Interferometers (SGMZIs) coupled in series in order of dimensionality from a lowest dimensionality of the plurality of SGMZIs to a highest dimensionality of the plurality of SGMZIs;
a second matrix block including a second plurality of SGMZIs coupled in series in reverse order of dimensionality relative to the order of dimensionality that the first plurality of SGMZIs are ordered within the first matrix block, wherein a first orientation of the first plurality of SGMZIs is horizontally mirrored to a second orientation of the second plurality of SGMZIs; and
a plurality of waveguide paths passing through the first matrix block and the second matrix block.
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