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We propose an optical parallel computation similar to quantum computationthat can be realized by introducing pseudorandom phase sequences into classicaloptical fields with two orthogonal modes. Based on the pseudorandom phasesequences, we first propose a theoretical framework of "phase ensemble model"referring from the concept of quantum ensemble. Using the ensemble model, wefurther demonstrate the inseparability of the fields similar to quantumentanglement. It is interesting that a N2^N dimensional Hilbert space spannedby N optical fields is larger than that spanned by N quantum particles. Thisleads a problem for our scheme that is not the lack of resources but theredundancy of resources. In order to reduce the redundancy, we propose aspecial sequence permutation mechanism to efficiently imitate certain quantumstates, including the product state, Bell states, GHZ state and W state. Forbetter fault tolerance, we further devise each orthogonal mode of opticalfields is measured to assign discrete values. Finally, we propose a generalizedgate array model to imitate some quantum algorithms, such as Shor's algorithm,Grover's algorithm and quantum Fourier algorithm. The research on the opticalparallel computation might be important, for it not only has the potentialbeyond quantum computation, but also provides useful insights into fundamentalconcepts of quantum mechanics.

Optical parallel computation similar to quantum computation based on optical fields modulated with pseudorandom phase sequences