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We demonstrate that a tensor product structure could be obtained byintroducing pseudorandom phase sequences into classical fields with twoorthogonal modes. Using classical fields modulated with pseudorandom phasesequences, we discuss efficient simulation of several typical quantum states,including product state, Bell states, GHZ state, and W state. By performingquadrature demodulation scheme, we could obtain the mode status matrix of thesimulating classical fields, based on which we propose a sequence permutationmechanism to reconstruct the simulated quantum states. The research onclassical simulation of quantum states is important, for it not only enablespotential practical applications in quantum computation, but also providesuseful insights into fundamental concepts of quantum mechanics.

Efficient Simulation of Quantum States Based on Classical Fields Modulated with Pseudorandom Phase Sequences